Deck 3: Numerical Summaries of Data

Question 1

Find the mean for the following data set:
15 31 34 20 26

A)7.0
B) 25.2
C)19
D)26

Answer 1

25.2

Question 2

Find the mode for the following data set:

A) 27.2
B) 26
C) 26.5
D) 20

Answer 2

26

Question 3

Find the mode for the following data set:

A) 17.8
B) 17
C) 13
D) 12

Answer 3

13

Question 4

Find the median for the following data set:
12 13 20 15 23

A)15
B)11
C)4.2
D) 16.6

Question 5

Find the median for the following data set:
22 13 20 13 19

A)13
B)19
C)17.4
D)9

Question 6

Use the given frequency distribution to approximate the mean.

A) 48.7
B) 30.4
C) 15.8
D) 30.2

Question 7

Find the median for the following data set:

A) 26
B) 19
C) 23.7
D) 14

Question 8

Following are heights, in inches, for a sample of college basketball players. Find the mean height of the basketball players.

A) 70 inches
B) 80.5 inches
C) 4.6 inches
D) 80.3 inches

Question 9

Find the median of the data in the following stem-and-leaf plot. The leaf represents the ones digit.

A) 26
B) 22
C) 28.6
D) 25.9

Question 10

Find the mean for the following data set:

A) 19.2
B) 16
C) 18
D) 13

Question 11

A study found that the mean amount of time that people in the United States spent watching TV was 108.1 hours per year. The same study found that the median was 109.2 hours per year. If a histogram
Were constructed for the data, would you expect it to be skewed to the right, to the left, or
Approximately symmetric?

A) skewed to the left
B) skewed to the right
C) approximately symmetric

Question 12

A survey found that the median number of calories consumed per day in a certain country was 3,304 and the mean was 3,204.9 calories. If a histogram were constructed for the data, would you expect it
To be skewed to the right, to the left, or approximately symmetric?

A) skewed to the right
B) skewed to the left
C) approximately symmetric

Question 13

For the data shown in the histogram, which of the following choices best describes the relationship between the median and the mean?

A) median > mean
B) median < mean
C) median  mean

Question 14

A botany student measured the lengths of a sample of leaves to the nearest centimeter. The data is shown in the frequency distribution below. Use the data to approximate the mean to the nearest
Tenth of a centimeter.

A) 18.2 cm
B) 9.2 cm
C) 18.7 cm
D) 5.8 cm

Question 15

Find the mean for the following data set:
16 10 22 23 10

A)10
B)16
C)13
D)16.2

Question 16

Find the median for the following data set:

A) 5.4
B) 18.8
C) 20
D) 15

Question 17

A report states that the mean household income last year for a certain rural county was $46,200 and the median was $37,800. If a histogram were constructed for the incomes of all households in the
County, would you expect it to be skewed to the right, to the left, or approximately symmetric?

A) approximately symmetric
B) skewed to the right
C) skewed to the left

Question 18

Find the mode of the data in the following stem-and-leaf plot. The leaf represents the ones digit.

A) 11.2
B) 12.3
C) 13.3
D) 14

Question 19

Find the mean for the following data set:

A) 26.2
B) 6.6
C) 19
D) 27

Question 20

Find the mean of the data in the following stem-and-leaf plot. The leaf represents the ones digit.

A) 26
B) 22
C) 27
D) 28.6

Question 21

Find the sample standard deviation for the following data set:

A) 7.2
B) 52.6
C) 65.7
D) 8.1

Question 22

The following table presents the number of monthly users for the 7 most popular mobile apps. Find the mean number of monthly users.

A) 621.8
B) 88.8
C) 103.6
D) 81.6

Question 23

The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store. Which value in this data set is most accurately described as an extreme value?

A) $80.00
B) $10.42
C) $53.00
D) $69.58

Question 24

The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store. Find the median price for these purchases.

A) $95.11
B) $36.82
C) $38.84
D) $37.40

Question 25

The following data represent the ice cream flavor choices of 20 diners at a college cafeteria. Which flavor ice cream is the mode?

A) Chocolate Chip
B) Rocky Road
C) Moose Tracks
D) Vanilla

Question 26

Find the sample variance for the following data set:

A) 7.6
B) 18
C) 58.5
D) 46.8

Question 27

Elizabeth worked at three part-time jobs last week. At one job, she worked 5 hours at a salary of $12 per hour, at the second she worked 15 hours at $10 per hour, and at the third she worked 20
Hours at $15 per hour. What was her mean hourly wage?

A) $12.75
B) $13.78
C) $40.00
D) $12.33

Question 28

The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store. Find the mean price for these purchases.

A) $55.30
B) $36.75
C) $28.09
D) $39.95

Question 29

The following tables present the number of specimens that tested positive for Type A and Type B influenza in the United States during the first 15 weeks of a recent flu season.

Find the mean number of type A and type B cases in the first 15 weeks of the flu season.

A) Type A: 2,190
Type B: 921
B) Type A: 1,095
Type B: 461
C) Type A: 1,556
Type B: 1,556
D) Type A: 969
Type B: 374

Question 30

The table below lists the populations, in thousands, of several rural western counties. What is the mean population?

A) 17 thousand
B) 20.7 thousand
C) 21.5 thousand
D) 19.5 thousand

Question 31

The following table presents the number of monthly users for the 7 most popular mobile apps. Find the median number of monthly users.

A) 84.1
B) 105.8
C) 90.6
D) 634.5

Question 32

A data set has a median of 64, and six of the numbers in the data set are less than median. The data set contains a total of n numbers.
If n is odd, and exactly one number in the data set is equal to 64, what is the value of n?

A) 17
B) 16
C) 15
D) 13

Question 33

In Steve's statistics class, the final grade is a weighted mean of a homework grade, three midterm grades, and a final exam grade. The homework counts for 15% of the grade, each midterm counts
For 15%, and the final exam counts for 40%. Steve got an average score of 60 on the homework, 80,
70, and 75 on the midterms, and 75 on the final. What is Steve's final grade?

A) 72
B) 41
C) 69
D) 73

Question 34

Find the population standard deviation for the following data set:

A) 7.8
B) 75.7
C) 60.6
D) 8.7

Question 35

A student has an average of 79 on seven chapter tests. If the student's scores on six of the tests are 77, 73, 87, 67, 80, and 71, what was the score on the remaining test?

A) 90
B) 76
C) 98
D) 79

Question 36

The table below lists the populations, in thousands, of several rural western counties. What is the median population?

A) 18.7 thousand
B) 20 thousand
C) 17 thousand
D) 16 thousand

Question 37

A data set has a median of 63, and six of the numbers in the data set are less than median. The data set contains a total of n numbers.
If n is even, and none of the numbers in the data set are equal to 63, what is the value of n?

A) 13
B) 10
C) 12
D) 16

Question 38

A data set contains three unique values. Which of the following must be true?

A) median = midrange
B) none of these
C) mean = median
D) mean = median = midrange

Question 39

Find the population variance for the following data set:

A) 19
B) 7.5
C) 56.5
D) 45.2

Question 40

The following tables present the number of specimens that tested positive for Type A and Type B influenza in the United States during the first 15 weeks of a recent flu season.

Find the median number of type A and type B cases in the first 15 weeks of the flu season.

A) Type A: 1,078
Type B: 469
B) Type A: 1,003
Type B: 408
C) Type A: 1,546
Type B: 1,546
D) Type A: 2,156
Type B: 937

Question 41

A population has a mean μ = 46 and standard deviation Find the z-score for a population value of 13.

A) -33
B) -2.2
C) -0.5
D) 0.9

Question 42

Approximate the sample variance given the following frequency distribution.

A) 179.7
B) 13.5
C) 182.5
D) 13.4

Question 43

For the data set below, find the IQR.

A) 10
B) 17
C) 64
D) 74

Question 44

A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1.1 gallons with a standard deviation of 0.1 gallons. The paint volumes are approximately bell-shaped. Estimate
The percent of pails with volumes between 1.00 gallon and 1.20 gallons.

A) almost all (greater than 95%)
B) 68%
C) 32%
D) 95%

Question 45

Approximate the population standard deviation given the following frequency distribution.

A) 23.6
B) 556.1
C) 545.6
D) 23.4

Question 46

A population has a mean and standard deviation What number has a z-score of -0.1?

A) 15.6
B) -1.2
C) -18.4
D) -1.4

Question 47

For the data set below, find the third quartile.

A) 66
B) 52.5
C) 60
D) 75

Question 48

Approximate the sample standard deviation given the following frequency distribution.

A) 798.2
B) 28.3
C) 28.5
D) 811.9

Question 49

A consumer advocacy group tested the "on-air" lifetimes of a random sample of 152 cell phone batteries. The mean lifetime was 2.9 hours with a standard deviation of 0.4 hours. The lifetimes are
Approximately bell-shaped. Estimate the number of batteries with lifetimes between 2.5 hours and
3)3 hours.

A) 103
B) 144
C) almost all (greater than 144)
D) 49

Question 50

The following population parameters were obtained from a graphing calculator. Assuming the population is bell-shaped, approximately what percentage of the population values are between 51 and 91?

A) 95%
B) almost all (greater than 95%)
C) 5%
D) 68%

Question 51

The completion times for a certain marathon race was 2.4 hours with a standard deviation of 0.5 hours. What can you determine about these data by using Chebyshev's Inequality with K = 2?

A) At least 75% of the completion times are between 1.4 hours and 3.4 hours.
B) No more than 75% of the completion times are between 1.4 hours and 3.4 hours.
C) At most 88.9% of the completion times are between 1.4 hours and 3.4 hours.
D) At least 88.9% of the completion times are between 1.4 hours and 3.4 hours.

Question 52

A data set has a mean of 50 and a standard deviation of 10. Which of the following might possibly be true?

A) More than 90% of the data values are between 20 and 80.
B) No more than 50% of the data values are between 30 and 70.
C) No less than 30% of the data values are less than 30 or greater than 70.
D) At least 15% of the data values are less than 20 or greater than 80.

Question 53

Following are the closing prices (in dollars) of a certain stock for the past 20 trading days. Find the population standard deviation for the closing prices.

A) $9.44
B) $138.76
C) $9.68
D) $33.69

Question 54

The following table presents the heights (in inches) of a sample of college basketball players. Considering the data to be a population, approximate the standard deviation of the heights.

A) 78
B) 4
C) 19.9
D) 4.5

Question 55

Approximate the population variance given the following frequency distribution.

A) 20.3
B) 413.3
C) 419.9
D) 20.5

Question 56

The following population parameters were obtained from a graphing calculator. Assuming the population is bell-shaped, between what two values will approximately 95% of the population be?

A) 43 to 69
B) 56 to 95
C) 30 to 82
D) 17 to 95

Question 57

The following table presents the heights (in inches) of a sample of college basketball players. Considering the data to be a population, approximate the variance of the heights.

A) 5.4
B) 5.6
C) 29.2
D) 31.6

Question 58

Following are heights, in inches, for a sample of college basketball players. Find the sample standard deviation for the heights of the basketball players.

A) 6.6
B) 78.3
C) 6.4
D) 18

Question 59

A data set has a mean of 157 and a standard deviation of 20. Compute the coefficient of variation.

A) 7.69
B) 0.13
C) 2.55
D) 20.00

Question 60

For the data set below, find the first quartile.

A) 60
B) 76
C) 48.5
D) 65

Question 61

For the data set below, find the upper outlier boundary.

A) 232.5
B) 247.5
C) 131.5
D) 253

Question 62

A soft-drink bottling company fills and ships soda in plastic bottles with a target volume of 354 milliliters. The filling machinery does not deliver a perfectly consistent volume of liquid to each
Bottle, and the three quartiles for the fill volume are A fill volume of 345 mL is considered low. Would a fill volume of 345 mL be considered an outlier?

A) No
B) Yes

Question 63

The mean systolic blood pressure for a sample of 500 individuals is 110 with a standard deviation of 16. A patient's systolic blood pressure is measured at 84. What is the z-score for this measurement?

A) -26
B) 1.62
C) 26.00
D) -1.62

Question 64

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of a bluefish is 285 millimeters with a standard deviation of
54 mm. For pompano, the mean is 128 mm with a standard deviation of 24 mm.
Stewart caught a bluefish that was 313 mm long. What was the z-score for this length?

A) 313
B) 0.52
C) 7.71
D) 5.8

Question 65

Construct a boxplot for the data set below.

A)
B)
C)
D)

Question 66

For the data set below, find the IQR.

A) 18
B) 83
C) 21
D) 25

Question 67

For the data set below, find the outlier(s).

A) 202
B) 252
C) 202 and 210
D) None are outliers.

Question 68

For the data set below, find the upper outlier boundary.

A) 45
B) 176
C) 195
D) 243.5

Question 69

For the data set below, list the outliers, if any.

A) 83
B) 82 and 83
C) 11, 82, and 83
D) There are no outliers.

Question 70

The mean salary of professional baseball players is $2.58 million with a standard deviation of 0.33. A new player is hired with a salary of $2.76 million. What is the z-score of this salary?

A) 8.36
B) 16.18
C) -16.18
D) 0.55

Question 71

For the data set below, find the third quartile.

A) 183.5
B) 201
C) 194
D) 177

Question 72

For the data set below, find the 37th percentile.

A) 36
B) 46
C) 48.5
D) 37

Question 73

For the data set below, find the first quartile.

A) 186.5
B) 204
C) 179
D) 195

Question 74

For the data set below, find the outlier(s).

A) 189
B) 141 and 150
C) 141 and 189
D) None are outliers.

Question 75

A soft-drink bottling company fills and ships soda in plastic bottles with a target volume of 354 milliliters. The filling machinery does not deliver a perfectly consistent volume of liquid to each
Bottle, and the three quartiles for the fill volume are Find the IQR.

A) 13.5
B) 10.8
C) 3
D) 9

Question 76

Construct a boxplot for the data set below.

A)
B)
C)
D)