Following are heights, in inches, for a sample of college basketball players. $\begin{array} { l l l l l l l l l l } \hline 78 & 83 & 82 & 78 & 78 & 80 & 81 & 79 & 79 & 83 \\ 77 & 78 & 84 & 82 & 80 & 80 & 82 & 84 & 78 & 80 \\ \hline \end{array}$ Find the mean height of the basketball players.

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

For the data set below, list the outliers, if any. $\begin{array} { l l l l l } \hline 37 & 47 & 38 & 47 & 52 \\ 29 & 11 & 49 & 54 & 36 \\ 30 & 69 & 31 & 82 & 83 \\ 35 & 40 & 50 & 69 & 48 \\ \hline \end{array}$

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

Find the mode for the following data set: $\begin{array}{lllll} 13 & 13 & 21 & 17 & 25 \end{array}$

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

Find the mode for the following data set: \[\begin{array} { l l l l l l } 16 & 32 & 26 & 36 & 26 & 27 \end{array}\]

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

The table below lists the populations, in thousands, of several rural western counties. What is the median population? $\begin{array} { c c } \hline \text { County } & \text { Population (thousands) } \\ \hline \text { Aldridge } & 25 \\ \text { Cleveland } & 21 \\ \text { McCarthy } & 9 \\ \text { Pope } & 14 \\ \text { Sorrell } & 24 \\ \text { Wilson } & 19 \end{array}$

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

Find the mean for the following data set: \[\begin{array} { l l l l l l } 29 & 35 & 20 & 32 & 25 & 16 \end{array}\]

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

Approximate the sample variance given the following frequency distribution. $\begin{array} { c c } \hline \text { Class } & \text { Frequency } \\ \hline 0 - 9 & 10 \\ 10 - 19 & 17 \\ 20 - 29 & 12 \\ 30 - 39 & 14 \\ 40 - 49 & 11 \\ \hline \end{array}$

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

The following table presents the heights (in inches) of a sample of college basketball players. $\begin{array} { c c } \hline \text { Height (in.) } & \text { Frequency } \\ \hline 68 - 71 & 17 \\ 72 - 75 & 40 \\ 76 - 79 & 62 \\ 80 - 83 & 40 \\ 84 - 87 & 18 \\ \hline \end{array}$ Considering the data to be a population, approximate the standard deviation of the heights.

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

For the data set below, find the first quartile. \[\begin{array} { l l l l l l l l l l } 169 & 173 & 179 & 185 & 188 & 192 & 195 & 204 & 208 & 251 \end{array}\]

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

The following table presents the heights (in inches) of a sample of college basketball players. $\begin{array} { c c } \hline \text { Height (in.) } & \text { Frequency } \\ \hline 68 - 71 & 2 \\ 72 - 75 & 2 \\ 76 - 79 & 4 \\ 80 - 83 & 2 \\ 84 - 87 & 3 \\ \hline \end{array}$ 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 A) 5.4 B) 5.6 C) 29.2 D) 31.6

The following data represent the ice cream flavor choices of 20 diners at a college cafeteria. \[\begin{array} { l l l l l } \hline \text { Chocolate } & \text { Vanilla } & \text { Chocolate } & \text { Rocky Road } & \text { Vanilla } \\ \text { Rocky Road } & \text { Vanilla } & \text { Vanilla } & \text { Rocky Road } & \text { Vanilla } \\ \text { Rocky Road } & \text { Chocolate } & \text { Choc. Chip } & \text { Moose Tracks } & \text { Chocolate } \\ \text { Choc. Chip } & \text { Rocky Road } & \text { Vanilla } & \text { Vanilla } & \text { Choc. Chip } \\ \hline \end{array}\] Which flavor ice cream is the mode?

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

Approximate the sample standard deviation given the following frequency distribution. $\begin{array} { c c } \hline \text { Class } & \text { Frequency } \\ \hline 0 - 19 & 10 \\ 20 - 39 & 18 \\ 40 - 59 & 10 \\ 60 - 79 & 8 \\ 80 - 99 & 13 \\ \hline \end{array}$

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

For the data set below, find the upper outlier boundary. \[\begin{array} { l l l l l l l l l l l } \hline 174 & 125 & 183 & 195 & 176 & 138 & 127 & 173 & 131 & 157 & 171 \\ \hline \end{array}\]

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

The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store. \[\begin{array} { l l l l l l l l l l } \hline 26.25 & 27.89 & 39.21 & 41.08 & 41.27 & 44.71 & 40.46 & 25.78 & 45.05 & 21.69 \\ 40.25 & 49.78 & 29.81 & 40.00 & 29.39 & 42.80 & 39.89 & 40.88 & 36.64 & 32.24 \\ \hline \end{array}\] Find the mean price for these purchases.

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

Exam 3: Numerical Summaries of Data

Following are heights, in inches, for a sample of college basketball players. 78 83 82 78 78 80 81 79 79 83 77 78 84 82 80 80 82 84 78 80 Find the mean height of the basketball players.

(Multiple Choice)

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Question 41

For the data set below, list the outliers, if any. 37 47 38 47 52 29 11 49 54 36 30 69 31 82 83 35 40 50 69 48

(Multiple Choice)

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Question 42

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?

(Multiple Choice)

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Question 43

Find the mode for the following data set: 13 13 21 17 25

(Multiple Choice)

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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.

(Multiple Choice)

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Question 45

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?

(Multiple Choice)

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Question 46

Find the mode for the following data set: 16 32 26 36 26 27

(Multiple Choice)

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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 $Q _ { 1 } = 349 , Q _ { 2 } = 352 , \text { and } Q _ { 3 } = 355$ A fill volume of 345 mL is considered low. Would a fill volume of 345 mL be considered an outlier?

(True/False)

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Question 48

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.

(Multiple Choice)

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Question 49

The table below lists the populations, in thousands, of several rural western counties. What is the median population? County Population (thousands) Aldridge 25 Cleveland 21 McCarthy 9 Pope 14 Sorrell 24 Wilson 19

(Multiple Choice)

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Question 50

Find the mean for the following data set: 29 35 20 32 25 16

(Multiple Choice)

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Question 51

Approximate the sample variance given the following frequency distribution. Class Frequency 0-9 10 10-19 17 20-29 12 30-39 14 40-49 11

(Multiple Choice)

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Question 52

The following table presents the heights (in inches) of a sample of college basketball players. Height (in.) Frequency 68-71 17 72-75 40 76-79 62 80-83 40 84-87 18 Considering the data to be a population, approximate the standard deviation of the heights.

(Multiple Choice)

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Question 53

For the data set below, find the first quartile. 169 173 179 185 188 192 195 204 208 251

(Multiple Choice)

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Question 54

The following table presents the heights (in inches) of a sample of college basketball players. Height (in.) Frequency 68-71 2 72-75 2 76-79 4 80-83 2 84-87 3 Considering the data to be a population, approximate the variance of the heights.

(Multiple Choice)

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Question 55

The following data represent the ice cream flavor choices of 20 diners at a college cafeteria. Chocolate Vanilla Chocolate Rocky Road Vanilla Rocky Road Vanilla Vanilla Rocky Road Vanilla Rocky Road Chocolate Choc. Chip Moose Tracks Chocolate Choc. Chip Rocky Road Vanilla Vanilla Choc. Chip Which flavor ice cream is the mode?

(Multiple Choice)

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Question 56

Approximate the sample standard deviation given the following frequency distribution. Class Frequency 0-19 10 20-39 18 40-59 10 60-79 8 80-99 13

(Multiple Choice)

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Question 57

For the data set below, find the upper outlier boundary. 174 125 183 195 176 138 127 173 131 157 171

(Multiple Choice)

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Question 58

The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store. 26.25 27.89 39.21 41.08 41.27 44.71 40.46 25.78 45.05 21.69 40.25 49.78 29.81 40.00 29.39 42.80 39.89 40.88 36.64 32.24 Find the mean price for these purchases.

(Multiple Choice)

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Question 59

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?

(Multiple Choice)

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Question 60

Following are heights, in inches, for a sample of college basketball players. 78 83 82 78 78 80 81 79 79 83 77 78 84 82 80 80 82 84 78 80 Find the mean height of the basketball players.

For the data set below, list the outliers, if any. 37 47 38 47 52 29 11 49 54 36 30 69 31 82 83 35 40 50 69 48

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?

Find the mode for the following data set: 13 13 21 17 25

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 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?

Find the mode for the following data set: 16 32 26 36 26 27

The table below lists the populations, in thousands, of several rural western counties. What is the median population? County Population (thousands) Aldridge 25 Cleveland 21 McCarthy 9 Pope 14 Sorrell 24 Wilson 19

Find the mean for the following data set: 29 35 20 32 25 16

Approximate the sample variance given the following frequency distribution. Class Frequency 0-9 10 10-19 17 20-29 12 30-39 14 40-49 11

The following table presents the heights (in inches) of a sample of college basketball players. Height (in.) Frequency 68-71 17 72-75 40 76-79 62 80-83 40 84-87 18 Considering the data to be a population, approximate the standard deviation of the heights.

For the data set below, find the first quartile. 169 173 179 185 188 192 195 204 208 251

The following table presents the heights (in inches) of a sample of college basketball players. Height (in.) Frequency 68-71 2 72-75 2 76-79 4 80-83 2 84-87 3 Considering the data to be a population, approximate the variance of the heights.

Approximate the sample standard deviation given the following frequency distribution. Class Frequency 0-19 10 20-39 18 40-59 10 60-79 8 80-99 13

For the data set below, find the upper outlier boundary. 174 125 183 195 176 138 127 173 131 157 171

The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store. 26.25 27.89 39.21 41.08 41.27 44.71 40.46 25.78 45.05 21.69 40.25 49.78 29.81 40.00 29.39 42.80 39.89 40.88 36.64 32.24 Find the mean price for these purchases.

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?

Basic Ideas

Graphical Summaries of Data

Summarizing Bivariate Data

Probability

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals

Hypothesis Testing

Two-Sample Confidence Intervals

Two-Sample Hypothesis Tests

Tests With Qualitative Data

Inference in Linear Models

Analysis of Variance

Nonparametric Statistics

Filters