Question 1

Heights of a group of male professional athletes,half of whom are gymnasts and half of whom are basketball players.
A)The distribution would likely be unimodal and slightly skewed right.The average height of the gymnasts and basketball players would be about the same.The distribution would be slightly skewed to the right,since it is possible to have some exceptionally tall basketball players.
B)The distribution would likely be uniform,with heights of the professional athletes evenly distributed.
C)The distribution would likely be bimodal and slightly skewed right.The average height of the gymnasts would be at one mode,and the average height of the basketball players would be at the other mode,since basketball players are taller than gymnasts.The distribution would be slightly skewed to the right,since it is possible to have some exceptionally tall basketball players,and it is less likely that the heights of gymnasts would vary significantly.
D)The distribution would likely be bimodal and slightly skewed left.The average height of the gymnasts would be at one mode,and the average height of the basketball players would be at the other mode,since basketball players are taller than gymnasts.The distribution would be slightly skewed to the left,since it is possible to have some exceptionally tall basketball players,and it is less likely that the heights of gymnasts would vary significantly.
E)The distribution would likely be unimodal and symmetric.The average height of the gymnasts and basketball players would be about the same.The distribution would be symmetric,since it is possible to have some exceptionally tall basketball players,and exceptionally short gymnasts.

Accepted Answer

The distribution would likely be bimodal since there are two distinct groups of athletes (gymnasts and basketball players) with different average heights. The distribution would be slightly skewed right since there could be some exceptionally tall basketball players. It is less likely that the heights of gymnasts would vary significantly, which is why the distribution would be slightly skewed to the right.

Question 2

Here is the stem-and-leaf display of the midterm test scores for the seventh-period typing class. 
Would you use the median or the mean to describe the centre of this distribution?
A)Median,because the data are skewed to the left.
B)Mean,because the data are skewed to the left.
C)Mean,because the data are quite symmetric.
D)Mean,because the data are skewed to the right.
E)Median,because the data are skewed to the right.

Accepted Answer

C

Question 3

A university instructor created a website for her Chemistry course.The students in her class were encouraged to use the website as an additional resource for the course.At the end of the semester,the instructor asked each student how many times he or she visited the website and recorded the counts.Based on the histogram below,describe the distribution of website use. 
A)The distribution of the number of visits to the course website by each student for the semester is skewed to the left,with the number of visits ranging from 1 to 15 visits.The distribution is centred at about 14 visits,with many students visiting 15 times.
B)The distribution of the number of visits to the course website by each student for the semester is skewed to the left,with the number of visits ranging from 1 to 16 visits.The distribution is centred at about 14 visits,with many students visiting 15 times.There is an outlier in the distribution,two students who visited the site only once.The next highest number of visits was 8.
C)The distribution of the number of visits to the course website by each student for the semester is skewed to the right,with the number of visits ranging from 1 to 15 visits.The distribution is centred at about 14 visits,with many students visiting 15 times.There is an outlier in the distribution,two students who visited the site only once.The next highest number of visits was 8.
D)The distribution of the number of visits to the course website by each student for the semester is skewed to the left,with the number of visits ranging from 1 to 15 visits.The distribution is centred at about 14 visits,with many students visiting 15 times.There is an outlier in the distribution,two students who visited the site only once.The next highest number of visits was 8.
E)The distribution of the number of visits to the course website by each student for the semester is skewed to the left,with the number of visits ranging from 1 to 15 visits.The distribution is centred at about 12 visits,with many students visiting 15 times.There is an outlier in the distribution,two students who visited the site only once.The next highest number of visits was 8.

Accepted Answer

D

Question 4

The histogram displays the body fat percentages of 65 students taking a college health course.In addition to describing the distribution,give a reason to account for the shape of this distribution. 
A)The distribution of body fat percentages is bimodal,with a cluster of body fat percentages around 16% and another cluster of body fat percentages around 26%.The upper cluster shows a bit of a skew to the right.Most students in the lower cluster have body fat percentages between 16% and 20%,and most students in the upper cluster have body fat percentages between 22% and 26%.Men and women have different body fat percentages: the lower cluster would likely represent male students,and the upper cluster would likely represent female students.
B)The distribution of body fat percentages is unimodal,with a bit of a skew to the right.The body fat percentages are centred around 20%,with a range of 10% to 35%.Most students have body fat percentages between 12% and 28%.Men and women have different body fat percentages,but the average of body fat percentages for men and women would be around 20%.
C)The distribution of body fat percentages is unimodal,with a bit of a skew to the right.The body fat percentages are centred around 24%,with a range of 10% to 34%.Most students have body fat percentages between 12% and 28%.Men and women have different body fat percentages,but the average of body fat percentages for men and women would be around 24%.
D)The distribution of body fat percentages is bimodal,with a cluster of body fat percentages around 16% and another cluster of body fat percentages around 26%.The upper cluster shows a bit of a skew to the right.Most students in the lower cluster have body fat percentages between 12% and 18%,and most students in the upper cluster have body fat percentages between 22% and 28%.Men and women have different body fat percentages: the lower cluster would likely represent male students,and the upper cluster would likely represent female students.
E)The distribution of body fat percentages is bimodal,with a cluster of body fat percentages around 12% and another cluster of body fat percentages around 28%.The upper cluster shows a bit of a skew to the right.Most students in the lower cluster have body fat percentages between 12% and 18%,and most students in the upper cluster have body fat percentages between 22% and 28%.Men and women have different body fat percentages: the lower cluster would likely represent male students,and the upper cluster would likely represent female students.

Accepted Answer

The answer of The histogram displays the body fat percentages...

Question 5

Shown below are the histogram and summary statistics for the reading scores of 29 fifth graders.

Which measures of centre and spread would you use for this distribution?
A)Mean and IQR,because the data is skewed to the left.
B)Median and standard deviation,because the data is skewed to the left.
C)Mean and standard deviation,because the data is skewed to the left.
D)Mean and standard deviation,because the data is symmetric.
E)Median and IQR,because the data is skewed to the left.

Accepted Answer

The answer of Shown below are the histogram and summary...

Question 6

A small company employs a supervisor at $1,100 a week,an inventory manager at $700 a week,6 stock boys at $400 a week,and 4 drivers at $600 a week.Which measure of spread,would best describe the payroll,the range,the IQR,or the standard deviation?
A)IQR,because the distribution is symmetric.
B)Range,because it would be least sensitive to the outlier at $1,100.
C)Standard deviation,because it would be least sensitive to the outlier at $1,100.
D)IQR,because it would be least sensitive to the outliers at $700 and $1,100.
E)IQR,because it would be least sensitive to the outlier at $1,100.

Accepted Answer

The answer of A small company employs a supervisor at...

Question 7

Ages of high school students.
A)The distribution would likely be unimodal and slightly skewed to the left.The average age of the high school students would be about the same.The distribution would be slightly skewed to the left,since there are more freshmen.
B)The distribution would likely be unimodal and slightly skewed to the right.The average age of the high school students would be about the same.The distribution would be slightly skewed to the right,since there are more seniors.
C)The distribution would likely be bimodal and slightly skewed to the right.The average age of the freshman and sophomores would be at one mode,and the average age of the juniors and seniors would be at the other mode.The distribution would be slightly skewed to the right,since there are more seniors.
D)The distribution would likely be uniform.Freshmen tend to be about 14 years old;sophomores,15;juniors,16;and seniors,17.Since there is about an equal number of students in each class,the distribution is uniform.
E)The distribution would likely be unimodal and symmetric.The average age of the high school students would be about the same,with some students that are older and some that are younger than the average age.

Accepted Answer

The distribution of ages in a high school is typically uniform because students are usually evenly distributed across grades (freshmen to seniors), with each grade corresponding to a specific age group (approximately 14 to 17 years old).

Question 8

Number of times each face of a fair six-sided die shows in 60 tosses.
A)The distribution would likely be unimodal and skewed left.The average of the numbers on the face of the die would be around 3.5,with more tosses less than 3.5.
B)The distribution would likely be uniform,with around 10 occurrences of each side.
C)The distribution would likely be unimodal and symmetric.The average of the numbers on the face of the die would be around 3.5,with a some tosses greater than 3.5 and some less than 3.5.
D)The distribution would likely be unimodal and skewed right.The average of the numbers on the face of the die would be around 3.5,with more tosses greater than 3.5.
E)The distribution would likely be uniform,with around 60 occurrences of each side.

Accepted Answer

When rolling a fair six-sided die, each face has an equal probability of being shown. Therefore, with 60 tosses, each face would likely be shown around 10 times, resulting in a uniform distribution of occurrences.

Question 9

Heights of adult women attending a concert.
A)The distribution would likely be unimodal and symmetric.The average height of women at the concert will be about the same as the median height.The distribution will likely be symmetric,since there are some women who are taller than average and some that are shorter.
B)The distribution would likely be uniform,with the heights of women evenly distributed.
C)The distribution would likely be unimodal and slightly skewed right.The average height of women at the concert will be about the same as the median height.The distribution will likely be slightly skewed right,since there are more women who are tall than short.
D)The distribution would likely be bimodal and slightly skewed left.The average height of shorter women will be at one mode,and the average height of taller women at the other mode.The distribution will likely be slightly skewed left,since there are more women who are short than tall.
E)The distribution would likely be bimodal and slightly skewed right.The average height of shorter women will be at one mode,and the average height of taller women at the other mode.The distribution will likely be slightly skewed right,since there are more women who are tall than short.

Accepted Answer

The distribution of heights of adult women attending a concert is likely to be unimodal and symmetric, with the average height being about the same as the median height. There will be some women who are taller or shorter than average, but overall the distribution is likely to be fairly even. There is no indication that the distribution would be uniform, bimodal or skewed to the left or right.

Question 10

Ages of patients who had their tonsils removed at a hospital over the course of a year.
A)The distribution would likely be bimodal and skewed right.The procedure is much more common among young people,so most patients would be younger,perhaps 8-12 years old.Eight-year-olds would be at one mode,and twelve-year-olds would be at the other mode.The distribution would be skewed right,since it is possible to have a greater variety of ages among older people,while there is a natural left endpoint to the distribution at zero years of age.
B)The distribution would likely be unimodal and symmetric.The procedure is much more common among young people,so most patients would be younger,perhaps 8-12 years old.The distribution would be symmetric,since it is possible to have this procedure done earlier or later than the average age.
C)The distribution would likely be unimodal and skewed left.The procedure is much more common among young people,so most patients would be younger,perhaps 8-12 years old.The distribution would be skewed left,since it is possible to have a greater variety of ages among younger people
D)The distribution would likely be unimodal and skewed right.The procedure is much more common among young people,so most patients would be younger,perhaps 8-12 years old.The distribution would be skewed right,since it is possible to have a greater variety of ages among older people,while there is a natural left endpoint to the distribution at zero years of age.
E)The distribution would likely be bimodal and symmetric.The procedure is much more common among young people,so most patients would be younger,perhaps 8-12 years old.Eight-year-olds would be at one mode,and twelve-year-olds would be at the other mode.The distribution would be symmetric,since it is possible to have this procedure done earlier or later than the average age.

Accepted Answer

The correct choice is D because it accurately describes the distribution of ages for tonsillectomy patients. The procedure is indeed more common among younger individuals, but older people can also have their tonsils removed, albeit less frequently. This creates a distribution that is skewed right, with a concentration of younger ages and a tail extending towards older ages. The natural left endpoint at zero years of age prevents the distribution from being skewed left.

Question 11

Office workers were asked how long it took them to travel to work one morning.Here is the stem-and-leaf display. 
Without actually finding the mean and the median,would you expect the mean to be higher or lower than the median?
A)Lower,because the data are skewed to the right.
B)Lower,because the data are skewed to the left.
C)Higher,because the data are skewed to the left.
D)Higher,because the data are skewed to the right.
E)Neither,because the mean would be equal to the median.

Accepted Answer

The answer of Office workers were asked how long it...

Question 12

A small company employs a supervisor at $1,300 a week,an inventory manager at $800 a week,7 stock boys at $400 a week,and 5 drivers at $700 a week.Which measure of centre best describes a typical wage at this company,the mean at $600 or the median at $550?
A)Mean,because the distribution is symmetric.
B)Median,because of the outlier $1,300.
C)Mean,because there are no outliers.
D)Median,because the distribution is skewed to the left.
E)Median,because of the outliers $800 and $1,300.

Accepted Answer

The answer of A small company employs a supervisor at...

Question 13

The histogram shows the cost of living,in dollars,in 32 Canadian towns. 
A)The distribution of the cost of living in the 32 Canadian cities is unimodal and skewed to the right.The distribution is centred around $100,and spread out,with values ranging from $80 to $139.99.
B)The distribution of the cost of living in the 32 Canadian cities is unimodal and skewed to the right.The distribution is centred around $110,and spread out,with values ranging from $80 to $140.
C)The distribution of the cost of living in the 32 Canadian cities is unimodal and skewed to the right.The distribution is centred around $90,and spread out,with values ranging from $80 to $139.99.
D)The distribution of the cost of living in the 32 Canadian cities is unimodal and skewed to the left.The distribution is centred around $100,and spread out,with values ranging from $80 to $139.99.
E)The distribution of the cost of living in the 32 Canadian cities is unimodal.The distribution is centred around $100,and spread out,with values ranging from $80 to $140.

Accepted Answer

The answer of The histogram shows the cost of living,in...

Question 14

Number of innings in the baseball games a major league team plays over the course of a season.
A)The distribution would likely be bimodal and skewed right.The great majority of the games will be nine innings and this would represent one mode.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings;and,this will represent the other mode.Some games will be 5-8 innings,if for example rain cuts them short,and this is more common than extra-inning games,so the distribution would be skewed to the left.
B)The distribution would likely be bimodal and skewed right.The great majority of the games will be nine innings and this would represent one mode.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings;and,this will represent the other mode.Some games will be 5-8 innings,if for example rain cuts them short,but extra-inning games are much more common,so the distribution would be skewed to the right.
C)The distribution would likely be unimodal and skewed right.The great majority of the games will be nine innings.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings.Some games will be 5-8 innings,if for example rain cuts them short,but extra-inning games are much more common,so the distribution would be skewed to the right.
D)The distribution would likely be unimodal and skewed left.The great majority of the games will be nine innings.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings.Some games will be 5-8 innings,if for example rain cuts them short,and this is more common than extra-inning games,so the distribution would be skewed to the left.
E)The distribution would likely be uniform.Some games will be nine innings.However,if the score of a game is tied after nine innings,extra innings are played,so some games will last 10,11,12,or more innings.Some games will be 5-8 innings,if for example rain cuts them short.The number of innings in the games would be evenly distributed.

Accepted Answer

The distribution would likely be unimodal and skewed right. The great majority of the games will be nine innings. However, if the score of a game is tied after nine innings, extra innings are played, so some games will last 10, 11, 12 or more innings. Some games will be 5-8 innings if, for example, rain cuts them short, but extra-inning games are much more common, so the distribution would be skewed to the right.

Question 15

The display shows the heights of Grade 12 students at a local high school,collected so that the students could be arranged with shorter ones in front and taller ones in back for a class photograph.In addition to describing the distribution,give a reason to account for the shape of this distribution. 
A)The distribution of the heights of Grade 12 students is bimodal,with a mode at around 65 inches and the other mode around 71 inches.The students' heights are between 60 inches and 74 inches.The two modes would likely represent the average heights of the male and female students.
B)The distribution of the heights of Grade 12 students is unimodal centred at 68,with a heights ranging from 60 inches to 76 inches.The two peaks would likely represent the average heights of the male and female students.
C)The distribution of the heights of Grade 12 students is bimodal,with a mode at around 62 inches and the other mode around 74 inches.No student has a height below 60 inches or above 76 inches.The two modes would likely represent the average heights of the male and female students.
D)The distribution of the heights of Grade 12 students is bimodal,with a mode at around 65 inches and the other mode around 71 inches.No student has a height below 60 inches or above 76 inches.The two modes would likely represent the average heights of the male and female students.
E)The distribution of the heights of Grade 12 students is uniform centred at 68,with a heights ranging from 60 inches to 76 inches.The two peaks would likely represent the average heights of the male and female students.

Accepted Answer

The description of a bimodal distribution with modes around 65 inches and 71 inches, and no outliers below 60 inches or above 76 inches, suggests that there are two distinct groups of students with different average heights. This could be due to biological factors, such as differences in gender or ethnicity, or to social factors, such as participation in sports or nutrition. The absence of outliers also indicates that the data is relatively well-behaved and does not include extreme values that would skew the distribution. Overall, choice D provides the most accurate and plausible description of the data.

Question 16

The histograms display the body fat percentages of 42 female students and 48 male students taking a college health course.For which of the variables depicted in the histograms would you be most satisfied to summarize the centre with a mean? Explain. 
A)The histogram of Women's Body Fat is skewed on the left.That makes it the best candidate of summarizing with a mean.
B)The histogram of Women's Body Fat shows no outliers.That makes it the best candidate of summarizing with a mean.
C)The histogram of Men's Body Fat is most nearly symmetric,is not strongly skewed and shows no outliers.That makes it the best candidate of summarizing with a mean.
D)The histogram of Women's Body Fat is most nearly symmetric,is not strongly skewed and shows no outliers.That makes it the best candidate of summarizing with a mean.
E)The histogram of Men's Body Fat is skewed on the left.That makes it the best candidate of summarizing with a mean.

Accepted Answer

The histogram of Men's Body Fat is most nearly symmetric, is not strongly skewed, and shows no outliers. These characteristics make it appropriate to summarize the center with a mean. The other variables have either strong skewness or outliers, which can make the mean less representative of the typical body fat percentage.

Question 17

The histogram shows the sizes (in acres)of 169 farms in Ontario.In addition to describing the distribution,approximate the percentage of farms that are under 100 acres. 
A)The distribution of the size of farms in Ontario is skewed to the right.Most of the farms are smaller than 150 acres,with some larger ones,from 150 to 300 acres.Five farms were larger than the rest,over 400 acres.The mode of the distribution is between 0 and 50 acres.It appears that 118 of 169 farms are under 100 acres,approximately 70%.
B)The distribution of the size of farms in Ontario is symmetric,with farm sizes ranging from 0 to 450 acres.The mode of the distribution is between 0 and 50 acres.It appears that 118 of 169 farms are under 100 acres,approximately 70%.
C)The distribution of the size of farms in Ontario is symmetric,with farm sizes ranging from 0 to 450 acres.The mode of the distribution is between 100 and 150 acres.It appears that 118 of 169 farms are under 100 acres,approximately 70%.
D)The distribution of the size of farms in Ontario is skewed to the right.Most of the farms are smaller than 50 acres,with some larger ones,from 150 to 300 acres.Five farms were larger than the rest,over 400 acres.The mode of the distribution is between 0 and 50 acres.It appears that 118 of 169 farms are under 100 acres,approximately 70%.
E)The distribution of the size of farms in Ontario is skewed to the right.Most of the farms are smaller than 150 acres,with some larger ones,from 150 to 300 acres.Five farms were larger than the rest,over 400 acres.The mode of the distribution is between 0 and 50 acres.It appears that 62 of 169 farms are under 100 acres,approximately 37%.

Accepted Answer

The description of the distribution matches the shape shown in the histogram, with a skew to the right and a mode between 0 and 50 acres. Based on the histogram, it appears that approximately 70% of the farms are under 100 acres, which is closest to the estimate of 118 out of 169. Option A is the only answer choice that accurately describes the shape of the distribution and matches the estimate of farms under 100 acres.

Question 18

Office workers were asked how long it took them to travel to work one morning.Here is the stem-and-leaf display. 
Would you use the median or the mean to describe the centre of this distribution?
A)Mean,because the data are skewed to the right.
B)Median,because the data are skewed to the left.
C)Mean,because the data are skewed to the left.
D)Mean,because the data are symmetric.
E)Median,because the data are skewed to the right.

Accepted Answer

A stem-and-leaf display shows a skewed distribution with a long tail to the right. This suggests that the data are not normally distributed and therefore the median is a better measure of central tendency than the mean. Hence, the best choice is E, which suggests using the median.

Question 19

The histogram shows the lengths of hospital stays (in hours)for pregnant women admitted to hospitals in Ontario who were having contractions upon arrival. 
A)The distribution of the length of hospital stays for pregnant patients is skewed to the right,with stays ranging from 1 hour to 96 hours.The distribution is centred around 26 hours,with the majority of stays lasting between 1 to 48 hours.There are relatively few hospital stays longer than 72 hours.Many patients have a stay of only 1-4 hours,possibly because it was not time to deliver.
B)The distribution of the length of hospital stays for pregnant patients is skewed to the right,with stays ranging from 1 hour to 95 hours.The distribution is centred around 26 hours,with the majority of stays lasting between 1 to 48 hours.There are relatively few hospital stays longer than 72 hours.
C)The distribution of the length of hospital stays for pregnant patients is skewed to the right,with stays ranging from 1 hour to 96 hours.The distribution is centred around 26 hours,with the majority of stays lasting between 3 to 24 hours.There are relatively few hospital stays longer than 72 hours.Many patients have a stay of only 1-4 hours,possibly because it was not time to deliver.
D)The distribution of the length of hospital stays for pregnant patients is skewed to the right,with stays ranging from 1 hour to 95 hours.The distribution is centred around 48 hours,with the majority of stays lasting between 24 to 72 hours.There are relatively few hospital stays longer than 72 hours.Many patients have a stay of only 1-3 hours,possibly because it was not time to deliver.
E)The distribution of the length of hospital stays for pregnant patients is skewed to the right,with stays ranging from 1 hour to 95 hours.The distribution is centred around 26 hours,with the majority of stays lasting between 1 to 48 hours.There are relatively few hospital stays longer than 72 hours.Many patients have a stay of only 1-3 hours,possibly because it was not time to deliver.

Accepted Answer

The answer of The histogram shows the lengths of hospital...

Question 20

Here are summary statistics of the four last digits of social security number of 500 customers,corresponding to the following histogram.

Is the mean or median a "better" summary of the centre of the distribution?
A)Neither,because these are not categorical data.
B)Neither,because these are not quantitative data.
C)Median,because the IQR is smaller than the standard deviation.
D)Mean,because the distribution is quite symmetric.
E)Median,because of the outliers.

Accepted Answer

The answer of Here are summary statistics of the four...

Quiz 3: Displaying and Summarizing Quantitative Data

Heights of a group of male professional athletes,half of whom are gymnasts and half of whom are basketball players.

Here is the stem-and-leaf display of the midterm test scores for the seventh-period typing class. Would you use the median or the mean to describe the centre of this distribution?

The histogram displays the body fat percentages of 65 students taking a college health course.In addition to describing the distribution,give a reason to account for the shape of this distribution.

Shown below are the histogram and summary statistics for the reading scores of 29 fifth graders. Which measures of centre and spread would you use for this distribution?

A small company employs a supervisor at $1,100 a week,an inventory manager at $700 a week,6 stock boys at $400 a week,and 4 drivers at $600 a week.Which measure of spread,would best describe the payroll,the range,the IQR,or the standard deviation?

Ages of high school students.

Number of times each face of a fair six-sided die shows in 60 tosses.

Heights of adult women attending a concert.

Ages of patients who had their tonsils removed at a hospital over the course of a year.

Office workers were asked how long it took them to travel to work one morning.Here is the stem-and-leaf display. Without actually finding the mean and the median,would you expect the mean to be higher or lower than the median?

A small company employs a supervisor at $1,300 a week,an inventory manager at $800 a week,7 stock boys at $400 a week,and 5 drivers at $700 a week.Which measure of centre best describes a typical wage at this company,the mean at $600 or the median at $550?

The histogram shows the cost of living,in dollars,in 32 Canadian towns.

Number of innings in the baseball games a major league team plays over the course of a season.

The display shows the heights of Grade 12 students at a local high school,collected so that the students could be arranged with shorter ones in front and taller ones in back for a class photograph.In addition to describing the distribution,give a reason to account for the shape of this distribution.

The histograms display the body fat percentages of 42 female students and 48 male students taking a college health course.For which of the variables depicted in the histograms would you be most satisfied to summarize the centre with a mean? Explain.

The histogram shows the sizes (in acres) of 169 farms in Ontario.In addition to describing the distribution,approximate the percentage of farms that are under 100 acres.

Office workers were asked how long it took them to travel to work one morning.Here is the stem-and-leaf display. Would you use the median or the mean to describe the centre of this distribution?

The histogram shows the lengths of hospital stays (in hours) for pregnant women admitted to hospitals in Ontario who were having contractions upon arrival.

Here are summary statistics of the four last digits of social security number of 500 customers,corresponding to the following histogram. Is the mean or median a "better" summary of the centre of the distribution?