Deck 3: Numerical Summaries of Data

Question 1

The table below lists the populations,)

A)15.5 thousand
B)15 thousand
C)14.8 thousand
D)14.5 thousand

Answer 1

C

Question 2

Find the median of the data in the following stem-and-leaf plot. )

A)27.2
B)17
C)18.5
D)24.1

Answer 2

C

Question 3

Find the median for the following data set: )

A)22.5
B)19
C)20
D)24.0

Answer 3

A

Question 4

A report states that the mean household income last year for a certain rural county was$46,200 and the median was $54,500. If a histogram were constructed for the incomes of allhouseholds in the county, would you expect it to be skewed to the right, to the left, orapproximately symmetric?

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

Question 5

Find the mean for the following data set:16 16 26 23 31

A)15
B)22.4
C)16
D)23

Question 6

Use the given frequency distribution to approximate the mean. )

A)13.2
B)26.7
C)13.9
D)14

Question 7

Find the mean for the following data set: )

A)23
B)27.3
C)8.0
D)28.5

Question 8

For the data shown in the histogram,)

Question 9

Find the mean of the data in the following stem-and-leaf plot. )

A)12
B)20.5
C)21
D)24.8

Question 10

The following data represent the total price,)

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

Question 11

Following are heights,)

A)70 inches
B)6 inches
C)79.5 inches
D)79.8 inches

Question 12

Find the mode for the following data set:

A)24
B)16
C)21
D)23.7

Question 13

The table below lists the populations,)

A)15.5 thousand
B)16.5 thousand
C)15 thousand
D)17.5 thousand

Question 14

Find the mean for the following data set:

A)21.2
B)4.9
C)20
D)14

Question 15

Find the median for the following data set: )

A)17.6
B)17
C)15
D)8

Question 16

Find the mode for the following data set: )

A)16
B)18
C)24.8
D)27

Question 17

Find the median for the following data set: )

A)19.4
B)12
C)18
D)4.5

Question 18

Find the mean for the following data set: )

A)26.3
B)25
C)20
D)26

Question 19

Find the median for the following data set: )

A)6.3
B)23
C)23.2
D)19

Question 20

Find the mode of the data in the following stem-and-leaf plot. )

A)13.3
B)12.3
C)13.9
D)14

Question 21

Approximate the sample standard deviation given the following frequency distribution. )

A)25.6
B)25.4
C)645.0
D)654.3

Question 22

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

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

Question 23

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 43 and 67?

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

Question 24

The following data represent the ice cream flavor choices of 20 diners at a college cafeteria.Which flavor ice cream is the mode? 23)

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

Question 25

The following population parameters were obtained from a graphing calculator. Assuming the population is bell-shaped, between what two values will approximately 68% of the
Population be?

A)48 to 84
B)60 to 72
C)66 to 84
D)54 to 78

Question 26

A student has an average of 88 on seven chapter tests. If the student's scores on six of thetests are 91, 91, 92, 82, 91, and 70, what was the score on the remaining test?

A)88
B)99
C)81
D)86

Question 27

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)27.7
B)5.6
C)5.3
D)31.1

Question 28

The following data represent the total price,)

A)$69.98
B)$79.05
C)$67.57
D)$11.48

Question 29

A data set has a median of 43, and four of the numbers in the data set are less thanmedian. 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 43, what is the value ofn?

A)9
B)12
C)6
D)8

Question 30

A data set has a median of 41, and four of the numbers in the data set are less thanmedian. The data set contains a total of n numbers.If n is odd, and exactly one number in the data set is equal to 41, what is the value of n?

A)9
B)13
C)12
D)11

Question 31

Approximate the sample variance given the following frequency distribution. )

A)13.5
B)181.5
C)178.8
D)13.4

Question 32

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)$9.30
B)$32.99
C)$9.06
D)$138.51

Question 33

Find the population standard deviation for the following data set: )

A)3.3
B)11
C)13.7
D)3.7

Question 34

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)17
B)5.8
C)5.6
D)79.1

Question 35

Find the sample standard deviation for the following data set: )

A)27
B)5.8
C)5.2
D)33.7

Question 36

Approximate the population variance given the following frequency distribution. )

A)923.6
B)30.6
C)935.8
D)30.4

Question 37

The following data represent the total price,)

A)$41.88
B)$35.88
C)$130.84
D)$37.40

Question 38

Approximate the population standard deviation given the following frequency distribution. )

A)26.7
B)699.0
C)711.9
D)26.4

Question 39

Find the population variance for the following data set: )

A)5.1
B)13
C)26
D)20.8

Question 40

Find the sample variance for the following data set: )

A)4.5
B)20.5
C)11
D)16.4

Question 41

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 and
A fill volume of 353 mL is considered low. Would a fill volume of 353 \mathrm{~mL} be considered an outlier?

A) No
B) Yes

Question 42

For which of the following histograms is it appropriate to use the Empirical Rule?

Question 43

For the data set below,)

A)65
B)74
C)19
D)9

Question 44

A population has a mean and standard deviation What number has a z -score of -0.5 ?

A) -59.5
B) 50.5
C) -6.2
D) -4.5

Question 45

For the data set below,)

A)221
B)176
C)30
D)193

Question 46

For the data set below,)

A)76
B)43.5
C)63
D)61

Question 47

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 and
Find the IQR.

A) 10.8
B) 5
C) 13.5
D) 9

Question 48

A consumer advocacy group tested the "on-air" lifetimes of a random sample of 162 cellphone 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 withlifetimes between 2.1 hours and 3.7 hours.

A)110
B)8
C)almost all (greater than 154)
D)154

Question 49

A data set has a mean of 129 and a standard deviation of 24. Compute the coefficient ofvariation.

A)4.47
B)24.00
C)5.26
D)0.19

Question 50

For the data set below,)

A)34.5
B)30
C)36
D)33

Question 51

For the data set below,)

A)206
B)134
C)204 and 206
D)None are outliers.

Question 52

A data set has a mean of 60 and a standard deviation of 5. Which of the following mightpossibly be true?

A)More than 90% of the data values are between 45 and 75.
B)No less than 30% of the data values are less than 50 or greater than 70.
C)No more than 50% of the data values are between 50 and 70.
D)At least 15% of the data values are less than 45 or greater than 75.

Question 53

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish andpompano are common catches. The mean length of a bluefish is 288 millimeters with astandard deviation of 51 mm. For pompano, the mean is 129 mm with a standarddeviation of 40 mm.Stewart caught a bluefish that was 321 mm long. What was the z-score for this length?

A)0.65
B)321
C)6.29
D)4.8

Question 54

The completion times for a certain marathon race was 2.9 hours with a standarddeviation of 0.5 hours. What can you determine about these data by using Chebyshev'sInequality with K = 3?

A)No more than 88.9% of the completion times are between 1.4 hours and 4.4 hours.
B)At most 75% of the completion times are between 1.4 hours and 4.4 hours.
C)At least 88.9% of the completion times are between 1.4 hours and 4.4 hours.
D)At least 75% of the completion times are between 1.4 hours and 4.4 hours.

Question 55

A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1gallon with a standard deviation of 0.05 gallons. The paint volumes are approximatelybell-shaped. Estimate the percent of pails with volumes between 0.90 gallons and 1.10gallons.

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

Question 56

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish andpompano are common catches. The mean length of a bluefish is 261 millimeters with astandard deviation of 45 mm. For pompano, the mean is 156 mm with a standarddeviation of 24 mm.Stewart caught a bluefish that was 286 mm long, and Gina caught a pompano that was181 mm long. Who caught the longer fish, relative to fish of the same species?

A)Stewart
B)Neither. Relative to its respective species, the fish are the same length.
C)Gina

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 standard deviation of the heights.

A)77.6
B)4
C)17.4
D)4.2

Question 58

For the data set below,)

A)65
B)68
C)57.5
D)75

Question 59

For the data set below,)

A)7
B)7 and 92
C)7 and 20
D)There are no outliers.

Question 60

A population has a mean and standard deviation Find the z -score for a population value of 29 .

A) 0.5
B) 7.3
C) 2
D) 8

Question 61

Construct a boxplot for the data set below. )

Question 62

Construct a boxplot for the data set below. )