Deck 4: Describing Data

Question 1

Find the mode(s)for the given sample data.
20, 39, 46, 39, 49, 39, 49

A)49
B)39
C)40.1
D)46

Answer 1

B

Question 2

The salaries of ten randomly selected doctors are shown below.
$$\begin{array} { l l l l l } \$ 119,000 & \$ 104,000 & \$ 199,000 & \$ 212,000 & \$ 212,000 \\\$ 119,000 & \$ 150,000 & \$ 741,000 & \$ 215,000 & \$ 194,000\end{array}$$

A)$227,000
B)$196,500
C)$199,000
D)$252,000

Answer 2

$196,500

Question 3

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations.

-Frank's Furniture employees earned $487.05, $281.74, $217.59, $199.88, $385.90, and $437.84 last week. Find the
Mean wage of the employees rounded to the nearest cent.

A)$335.00
B)$502.50
C)$390.00
D)$402.00

Answer 3

$335.00

Question 4

The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below.
$$\begin{array} { l l l l l l l l l l } 28 & 30 & 28 & 31 & 31 & 28 & 33 & 30 & 18 & 30 \\38 & 34 & 34 & 32 & 27 & 34 & 28 & 23 & 30 & 30\end{array}$$

A)30
B)34
C)31
D)29.85

Question 5

Find the median for the given sample data.
5, 6, 12, 21, 30, 30, 49

A)25.5
B)30
C)21
D)12

Question 6

The normal monthly precipitation (in inches)for August is listed for 20 different U.S. cities.

A)3.45 in.
B)2.94 in.
C)3.50 in.
D)3.40 in.

Question 7

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations.

-Six college students spent $219.77, $172.14, $157.71, $153.85, $211.29, and $191.77 respectively for books.
Compute the mean amount spent. Round your answer to the nearest cent.

A)$209.31
B)$276.63
C)$221.31
D)$184.42

Question 8

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations.

-The local Tupperware dealers earned these commissions last month:
$1812.27 $2534.47 $4809.21 $1151.76 $3970.90
$1382.38 $4798.74 $3843.38 $4423.22 $4363.05
Find the mean commission earned rounded to the nearest cent.

A)$3676.60
B)$3308.94
C)$4136.17
D)$3302.94

Question 9

Find the mode(s)for the given sample data.
-20, -26, -46, -26, -49, -26, -49

A)-49
B)-34.6
C)-46
D)-26

Question 10

The weights (in ounces)of 21 cookies are shown.

A)0.89 oz
B)0.82 oz
C)0.95 oz
D)1.42 oz

Question 11

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations.

-The grocery expenses for six families were $70.52, $55.03, $69.66, $47.84, $71.19, and $89.02. Compute the mean
Grocery bill. Round your answer to the nearest cent.

A)$68.65
B)$80.65
C)$67.21
D)$100.82

Question 12

A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below.
100, 33, 213, 161, 290, 249, 232

A)183 newspapers
B)213 newspapers
C)232 newspapers
D)161 newspapers

Question 13

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations.

-Frank's Furniture employees earned the following amounts last week:
$530.59 $524.47 $159.83 $179.32 $215.97 $396.41 $151.85 $382.35 $393.84
Find the mean amount earned by an employee last week rounded to the nearest cent.

A)$326.07
B)$366.83
C)$319.40
D)$419.23

Question 14

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations.

-Last year, nine employees of an electronics company retired. Their ages at retirement are listed below.
57 66 64 50 59 58 63 52 50

A)58.0 yr
B)56.4 yr
C)57.0 yr
D)57.7 yr

Question 15

Bill kept track of the number of hours he spent exercising each week. The results for four months are shown below.
$$\begin{array} { l l l l l l } 9.0 & 9.0 & 8.2 & 7.4 & 6.5 & 9.0 \\7.5 & 8.2 & 6.7 & 9.0 & 7.4 & 8.1 \\9.0 & 9.0 & 9.0 & 8.8 & 6.5 & 7.5\end{array}$$

A)8.3 hours
B)7.7 hours
C)8.1 hours
D)8.6 hours

Question 16

The distances traveled (in miles)to 7 different swim meets are given below:
13, 17, 34, 50, 65, 70, 82

A)50 mi
B)65 mi
C)34 mi
D)47 mi

Question 17

A new business had the following monthly net gains:
$$\begin{array} { l l l l l } \$ 6671 & \$ 3501 & \$ 1548 & \$ 6941 & \$ 8840 \\\$ 3957 & \$ 1632 & \$ 7943 & \$ 4729 & \$ 5114\end{array}$$

A)$4729.00
B)$4921.50
C)$5087.60
D)$5652.89

Question 18

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations.

-18, 16, 20, 18, 20

A)18
B)23
C)18.4
D)17

Question 19

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations.

-The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below.
519 632 360 353 639 355 343 643 470 482

A)476.0
B)470.2
C)479.6
D)489.4

Question 20

The normal monthly precipitation (in inches)for August is listed for 20 different U.S. cities.

A)2.80 in.
B)3.27 in.
C)3.09 in.
D)2.94 in.

Question 21

Find the mode(s)for the given sample data.
79, 25, 79, 13, 25, 29, 56, 79

A)79
B)48.1
C)25
D)42.5

Question 22

Solve the problem. Round monetary amounts to the nearest dollar.

-The table below gives the sale price of seven homes sold in the same neighborhood over a six month period. $$\begin{array} { l c } \hline \text { Home (address) } & \text { Price } \\\hline 100 \text { Willow Dr. } & \$ 301,000 \\215 \text { Pebble Ln. } & \$ 170,000 \\202 \text { Driftwood St. } & \$ 292,000 \\213 \text { Lilac Dr. } & \$ 315,000 \\154 \text { Dogwood Dr. } & \$ 513,000 \\303 \text { Ash St. } & \$ 287,000 \\222 \text { Cedar Ln. } & \$ 274,000 \\\hline\end{array}$$
a. Find the mean price and median price for these homes.
b. Which home is an outlier on the high end? If you eliminate this home, what are the new mean and median prices for
these homes?
c. Which home is an outlier on the low end? If you eliminate this home, what are the new mean and median prices for
these homes?
d. If you eliminate both outliers, what are the new mean and median prices for these homes?

Question 23

Suppose that after 20 at-bats a baseball player has a batting average of 0.400. If the baseball player gets a hit at the next at-bat, what will the player's new batting average be? (The batting average is the number of hits divided by the number of at-bats.)

A)0.381
B)0.333
C)0.400
D)0.429

Question 24

Solve the problem.

-The federal government requires a car manufacturer to have a minimum miles per gallon (mpg)average over the models it makes. Suppose that the mpg's for the five models of a manufacturer are 19, 21, 22, 28, and 18,
And the government requirement is 25 mpg. The last of the models is to be redesigned to meet the government requirement. What must the new mpg of this model be to meet the requirement?

A)25 mpg
B)17 mpg
C)26 mpg
D)42 mpg

Question 25

Your course grade is based on one midterm that counts as 20% of your final grade, a set of quizzes that counts as 15% of your final grade, a set of homework assignments that counts as 35% of your final grade, and a final exam that counts as 30% of your final grade. Your midterm score is 74, your quiz score is 73, your homework score is 91, and your final exam score is 81. What is your overall final score?

A)81.9
B)79.75
C)81.95
D)81.85

Question 26

The weights (in ounces)of 14 different apples are shown below.

$\begin{array} { l l l l l l l } 4.3 & 4.3 & 6.4 & 6.6 & 6.6 & 4.3 & 4.3 \end{array}$
$\begin{array} { l l l l l l l } 6.8 & 6.3 & 6.6 & 4.3 & 6.8 & 6.6 & 4.7 \end{array}$

A)4.3 oz
B)No mode
C)5.45 oz
D)4.3 oz, 6.6 oz

Question 27

The course grade in a statistics class is the average of the scores on five examinations. Suppose that a student's scores on the first four examinations (out of 100)are 65, 70, 91, and 78. What is the highest course average Possible after the last examination?

A)100
B)76
C)81
D)6

Question 28

Last year, nine employees of an electronics company retired. Their ages at retirement are listed below.
$$\begin{array} { l l l l l l l l l } 55 & 61 & 62 & 57 & 56 & 64 & 65 & 58 & 52\end{array}$$

A)55 years, 61 years, 62 years, 57 years, 56 years, 64 years, 65 years, 58 years, 52 years
B)58.9 years
C)58 years
D)No mode

Question 29

Packages of a certain candy vary slightly in weight. Here are the measured weights of nine packages, in ounces:
$$\begin{array} { l l l l l } 1.8723 & 1.8744 & 1.8751 & 1.8766 & 1.8462 \\1.8748 & 1.8729 & 1.8735 & 1.8758 &\end{array}$$
a. Find the mean and the median of these weights.
b. Which, if any, of these weights would you consider to be an outlier?
c. What are the mean and median weights of the outlier is excluded?

Question 30

Solve the problem.

-The federal government requires a car manufacturer to have a minimum miles per gallon (mpg)average over the models it makes. Suppose that the mpg's for four of the the five models of a manufacturer are 16, 19, 29, and 21, and the manufacturer just meets the government standard of 30 mpg. Find the mileage for the fifth model.

A)21 mpg
B)17 mpg
C)65 mpg
D)30 mpg

Question 31

Provide an appropriate response.

-The two most frequently used measures of central tendency are the mean and the median. Compare these two measures for the following characteristics: Takes every score into account? Affected by extreme scores?
Advantages.

Question 32

The table shows the country represented by the winner of the 10,000 meter run in the Summer Olympic Games
In various years.

A)Morocco
B)Finland
C)1912
D)7

Question 33

The blood types for 30 people who agreed to participate in a medical study were as follows.

A)O
B)13
C)O, A
D)A

Question 34

Find the mode(s)for the given sample data.
78, 37, 32, 37, 29, 78

A)37
B)78, 37
C)78
D)48.5

Question 35

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg)average over the cars it makes. Suppose that the models and mpg's for a manufacturer are Corsair (10 mpg), Futura (9 mpg), retro (16 mpg), and Envy (24 mpg). Twenty percent of the cars sold are Corsairs, 30% are Futuras, 40% are retros, and 10% are Envys. Find the average mpg for this manufacturer.

A)10 mpg
B)15 mpg
C)13 mpg
D)13.5 mpg

Question 36

One common system for computing a grade point average (GPA)assigns 4 points to an A, 3 points to a B, 2 Points to a C, and 1 point to a D. What is the GPA of a student who gets a B in a 3-credit course, an A in a 2-credit course, and a B, a D, and a D, respectively, in each of three 4-credit courses? Round your answer to the nearest hundredth.

A)2.31
B)2.18
C)1.94
D)2.4

Question 37

The speeds (in miles per hour)of the cars passing a certain checkpoint are measured by radar. The results are
Shown below.

A)41.0 mph
B)41.6 mph
C)41.3 mph, 41.6 mph
D)41.0 mph, 41.3 mph, 41.6 mph

Question 38

Solve the problem.

-The federal government requires a car manufacturer to have a minimum miles per gallon (mpg)average over the models it makes. Suppose that the average mpg for the four models manufactured is 18 mpg and the government standard is 33 mpg. The manufacturer will add a model. What mileage must the new model get so that the manufacturer meets the government requirement?

A)75 mpg
B)93 mpg
C)33 mpg
D)None of the above

Question 39

Find the mode(s)for the given sample data.
7.34, 7.41, 7.56, 7.34, 7.88, 7.99, 7.62

A)7.591
B)7.41
C)7.34
D)7.56

Question 40

The host of a dinner party purchases wine based on the weighted average of clarity (7%), bouquet (2%), friendliness to the palate (11%), storageability of opened bottles (40%), and price (40%). Suppose that Bone ranch Wave has scores in these categories of 4, 5, 3, 8, and 9, respectively. What is its rating?

A)6.49
B)5.80
C)7.51
D)5.00

Question 41

State how many modes you would expect for the distribution described.
Number showing when a single die is rolled 100 times

A)Three
B)Two
C)None
D)One

Question 42

State how many modes you would expect for the distribution described.
Sales of birthday cards over a one-year period

A)Two
B)None
C)Three
D)One

Question 43

State how many modes you would expect for the distribution described.
Speeds of everyone traveling on a country road, including cyclists and motorists

A)Two
B)None
C)One
D)Three

Question 44

The histogram shows the lifespan of a sample of 125 light bulbs. Over the histogram, draw a smooth curve that captures its general features. Then classify the distribution according to its number of modes and its symmetry or skewness. In words, summarize the meaning of your results.

Question 45

A teacher has a morning class with 24 students, and they had a mean score of 84% on the midterm exam. The afternoon class has 28 students, and they had a mean score of 86% on the same exam. Does it follow that the mean score for both classes combined is 85%? Explain.

Question 46

A food inspector finds that 6% of the packaged spinach tested at one organic food distributor contain E. coli bacteria and 10% of the packaged spinach at another organic food distributor contain E. coli bacteria. Does it follow that between the two organic food distributors, a total of 8% of the packaged spinach tested contain E. coli bacteria? Why or why not?

Question 47

The mean of a data set is always/sometimes/never (select one)one of the data points in a set of data. Explain your answer with brief examples.

Question 48

State how many modes you would expect for the distribution described.
Voice pitch for the people in the school auditorium consisting of 6 year olds giving a concert, their mothers, and
Their fathers

A)Three
B)Two
C)One
D)None

Question 49

Dave is a college student contemplating a possible career option. One factor that will influence his decision is the amount of money he is likely to make. He decides to look up the average starting salary of graduates in that
profession. Which information would be most useful to him, the mean starting salary, the median starting salary, or the mode of the starting salaries. Why?

Question 50

The histogram shows the waiting times for a new roller coaster at a theme park for a sample of 1000 riders throughout the first week of operation. Over the histogram, draw a smooth curve that captures its general features. Then classify the distribution according to its number of modes and its symmetry or skewness. In words, summarize the meaning of your results.

Question 51

Explain how two data sets could have equal means and modes but still differ greatly. Give an example with two data sets to illustrate.

Question 52

Does the mode of a data set always lie near the center? Explain your answer and give an example of a data set to illustrate your answer.

Question 53

Suppose that a state introduces a state income tax which will be at a flat rate of 3%. The state legislature wishes to estimate how much money they will receive in taxes, and to do this they need to know the average income of residents of the state. Which information would be most useful, the mean income, the median income, or the mode of the incomes? Why?

Question 54

State how many modes you would expect for the distribution described.
Numbers of people with birthdays in a particular month (January through December)

A)Two
B)None
C)Three
D)One

Question 55

The histogram shows the weights (in grams)of 98 casino poker chips. Over the histogram, draw a smooth curve that captures its general features. Then classify the distribution according to its number of modes and its symmetry or skewness. What feature of the graph reflects the fact that 21 of the casino poker chips were found to be counterfeit whereas the remaining 77 casino poker chips are genuine?

Question 56

State how many modes you would expect for the distribution described.
Heights of a group of college athletes consisting of the gymnastics team and the basketball team

A)One
B)None
C)Three
D)Two

Question 57

State how many modes you would expect for the distribution described.
Weights of the first graders at a school

A)Three
B)One
C)None
D)Two

Question 58

The table below provides a frequency distribution for the winner of the Davis Cup during the period 1977-1994.
$$\begin{array}{l}\text { Winner of }\\\begin{array} { l c } \text { Davis Cup } & \text { Frequency } \\\hline \text { United States } & 6 \\\text { Germany } & 3 \\\text { Czechoslovakia } & 1 \\\text { Australia } & 3 \\\text { France } & 1 \\\text { Sweden } & 4\end{array}\end{array}$$
Which measure of center, the mean, the median, or the mode is most appropriate here? Why?

Question 59

The histogram shows the weights of 314 hockey players. Over the histogram, draw a smooth curve that captures its general features. Then classify the distribution according to its number of modes and its symmetry or skewness. In words, summarize the meaning of your results.

Question 60

State how many modes you would expect for the distribution described.
Sales of gloves in Boston over a one-year period

A)Two
B)None
C)One
D)Three

Question 61

Find the range for the given data.

-Fred, a local mechanic, gathered the following data regarding the price, in dollars, of an oil and filter change at twelve competing service stations. $$\begin{array} { l l l l } 32.95 & 24.95 & 26.95 & 28.75 \\18.90 & 28.50 & 30.95 & 22.95 \\24.95 & 26.95 & 29.75 & 28.00\end{array}$$

A)$14.05
B)$12.05
C)$8.20
D)$10.95

Question 62

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
234, 231, 206, 128, 234, 201, 268, 237, 253

A)38.3
B)40.6
C)43.4
D)27.7

Question 63

Identify the distribution as symmetric, left-skewed, or right-skewed.
The amounts of tax paid by U.S. residents

A)Left-skewed
B)Right-skewed
C)Symmetric

Question 64

Identify the distribution as symmetric, left-skewed, or right-skewed.
Shoe sizes of adult women

A)Left-skewed
B)Symmetric
C)Right-skewed

Question 65

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
15, 7, 8, 19, 14, 13, 13, 17, 8

A)4.5
B)4.0
C)1.6
D)4.2

Question 66

Find the range for the given data.

-Jeanne is currently taking college economics. On the past five quizzes, Jeanne got the following scores.
$$\begin{array} { l l l l l } 5 & 20 & 3 & 15 & 10\end{array}$$

A)20
B)3
C)5
D)17

Question 67

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
17.8, 20.3, 36.4, 34.5, 14.1, 14.8

A)35.5
B)3169.4
C)3662.0
D)9.93

Question 68

Find the range for the given data.

-The amount that Jeremy has saved in each of the last six months is shown below.
$$\begin{array} { l l l l l l } \$ 115 & \$ 555 & \$ 201 & \$ 653 & \$ 381 & \$ 304\end{array}$$

A)$115
B)$538
C)$103
D)$555

Question 69

Find the range for the given data.
The owner of a small manufacturing plant employs six people. The commute distances, in miles, for the six
Employees are listed below.

A)1.7 mi
B)0.7 mi
C)5.5 mi
D)4.8 mi

Question 70

Find the range for the given data.

-The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in m)are listed below. $$\begin{array} { l l l l l l } 0.526 & 0.636 & 0.208 & 0.43 & 0.3 & 0.116\end{array}$$

A)0.116 m
B)0.526 m
C)0.092 m
D)0.52 m

Question 71

Find the range for the given data.

-Each student in a sixth-grade class recorded the amount of time he or she had spent watching television during
A one-week period. The times (in hours)are listed below. $$\begin{array} { l l l l l l l l l l } 20.4 & 23.5 & 8.9 & 11.3 & 17.7 & 30.8 & 11.9 & 23.3 & 19.8 & 26.7\end{array}$$

A)8.9 hours
B)3.1 hours
C)21.9 hours
D)17.7 hours

Question 72

Identify the distribution as symmetric, left-skewed, or right-skewed.
Number of days worked last year by adult males in a U.S. city which has a low unemployment rate

A)Symmetric
B)Right-skewed
C)Left-skewed

Question 73

Identify the distribution as symmetric, left-skewed, or right-skewed.
Lengths of human pregnancies

A)Symmetric
B)Right-skewed
C)Left-skewed

Question 74

Find the range for the given data.
Rich Borne is currently taking Chemistry 101. On the five laboratory assignments for the quarter, he got the
Following scores.

A)39
B)52
C)10
D)13

Question 75

Identify the distribution as symmetric, left-skewed, or right-skewed.
Amount of credit card debt of families in the U.S.

A)Symmetric
B)Right-skewed
C)Left-skewed

Question 76

Identify the distribution as symmetric, left-skewed, or right-skewed.
Age at death for residents of the U.S.

A)Symmetric
B)Right-skewed
C)Left-skewed

Question 77

Identify the distribution as symmetric, left-skewed, or right-skewed.
Weights of new-born babies

A)Right-skewed
B)Symmetric
C)Left-skewed

Question 78

Identify the distribution as symmetric, left-skewed, or right-skewed.
The diameters of the apples growing on a particular tree

A)Symmetric
B)Right-skewed
C)Left-skewed

Question 79

Identify the distribution as symmetric, left-skewed, or right-skewed.
Number of siblings of adults in the U.S.

A)Symmetric
B)Right-skewed
C)Left-skewed

Question 80

Identify the distribution as symmetric, left-skewed, or right-skewed.
Exam scores for an exam in which most students did very well but a few students failed

A)Symmetric
B)Right-skewed
C)Left-skewed