Question 1

Use the given frequency distribution to approximate the mean. 
 $\begin{array} { c c } 
\hline \text { Class } & \text { Frequency } \
\hline 0 - 9 & 8 \
10 - 19 & 18 \
20 - 29 & 12 \
30 - 39 & 11 \
40 - 49 & 17
\end{array}$

Accepted Answer

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

Question 2

A population has a mean $\mu = 55$ and standard deviation $\sigma = 9$ What number has a  z -score of  -0.5 ?

Accepted Answer

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

Question 3

The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store.
 $\begin{array} { l l l l l l l l l l } 
\hline 21.65 & 32.07 & 39.46 & 42.22 & 14.00 & 43.02 & 47.81 & 41.60 & 11.99 & 42.34 \
16.40 & 44.80 & 30.04 & 45.22 & 42.16 & 49.39 & 29.51 & 33.42 & 43.97 & 46.61 \
\hline
\end{array}$
Find the median price for these purchases.

Accepted Answer

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

Question 4

Find the population variance for the following data set: 
$\begin{array} { l l l l l } 
13 & 23 & 26 & 17 & 21
\end{array}$

Accepted Answer

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

Question 5

Find the median for the following data set: 
 $\begin{array} { l l l l l } 
24 & 18 & 17 & 13 & 25
\end{array}$

Accepted Answer

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

Question 6

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 $Q _ { 1 } = 347 , Q _ { 2 } = 351$ and $Q _ { 3 } = 356$
Find the IQR.

Accepted Answer

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

Question 7

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?

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Find the sample standard deviation for the following data set: 
$\begin{array} { l l l l l } 
25 & 23 & 17 & 16 & 30
\end{array}$

Accepted Answer

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

Question 10

For the data set below, find the first quartile.
$\begin{array} { l l l l l l l l l l l } 
\hline 76 & 63 & 61 & 66 & 69 & 68 & 77 & 72 & 69 & 63 & 79 \
\hline
\end{array}$

Accepted Answer

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

Question 11

Find the mode for the following data set: 
$\begin{array} { l l l l l l } 
21 & 27 & 30& 21 & 29 & 14
\end{array}$

Accepted Answer

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

Question 12

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 all households in the county, would you expect it to be skewed to the right, to the left, or approximately symmetric?

Accepted Answer

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

Question 13

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D)  all of these 
A) 
  
B) 
  
C) 
  
D)  all of these

Question 14

Find the mean for the following data set: 
$\begin{array} { l l l l l } 
28 & 14 & 25 & 19 & 20
\end{array}$

Accepted Answer

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

Question 15

Construct a boxplot for the data set below.
 $\begin{array}{lllll}
\hline 94 & 96 & 89 & 90 & 90 \
89 & 88 & 85 & 85 & 88 \
92 & 91 & 91 & 90 & 90 \
90 & 93 & 89 & 82 & 84 \
\hline
\end{array}$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 16

Find the sample variance for the following data set: 
$\begin{array} { l l l l l } 
22 & 12 & 23 & 17 & 21
\end{array}$

Accepted Answer

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

Question 17

Find the median of the data in the following stem-and-leaf plot. The leaf represents the ones digit.
  $\begin{array} { l | l } 
\hline 1 & 2577899 \
2 & \
3 & 1 \
4 & 67
\end{array}$

Accepted Answer

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

Question 18

For the data set below, find the upper outlier boundary.
 $\begin{array} { l l l l l l l l l l l } 
\hline 160 & 176 & 193 & 144 & 163 & 146 & 152 & 158 & 154 & 184 & 129 \
\hline
\end{array}$

Accepted Answer

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

Question 19

Find the median for the following data set: 
32&emsp;  24 &emsp; 29 &emsp; 19 &emsp; 13 &emsp; 22

Accepted Answer

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

Question 20

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

Accepted Answer

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

Use the given frequency distribution to approximate the mean. Class Frequency 0-9 8 10-19 18 20-29 12 30-39 11 40-49 17

A population has a mean $\mu = 55$ and standard deviation $\sigma = 9$ What number has a z -score of -0.5 ?

The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store. 21.65 32.07 39.46 42.22 14.00 43.02 47.81 41.60 11.99 42.34 16.40 44.80 30.04 45.22 42.16 49.39 29.51 33.42 43.97 46.61 Find the median price for these purchases.

Find the population variance for the following data set: 13 23 26 17 21

Find the median for the following data set: 24 18 17 13 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 data set has a mean of 129 and a standard deviation of 24. Compute the coefficient of variation.

Find the sample standard deviation for the following data set: 25 23 17 16 30

For the data set below, find the first quartile. 76 63 61 66 69 68 77 72 69 63 79

Find the mode for the following data set: 21 27 30 21 29 14

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 all households in the county, would you expect it to be skewed to the right, to the left, or approximately symmetric?

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

Find the mean for the following data set: 28 14 25 19 20

Construct a boxplot for the data set below. 94 96 89 90 90 89 88 85 85 88 92 91 91 90 90 90 93 89 82 84

Find the sample variance for the following data set: 22 12 23 17 21

Find the median of the data in the following stem-and-leaf plot. The leaf represents the ones digit. 1 2577899 2 3 1 4 67

For the data set below, find the upper outlier boundary. 160 176 193 144 163 146 152 158 154 184 129

Find the median for the following data set: 32 24 29 19 13 22

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

Basic Ideas

Graphical Summaries of Data

Probability

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals

Hypothesis Testing

Inferences on Two Samples

Tests With Qualitative Data

Correlation and Regression

Statistical Analysis Questions in ANOVA and Rank-Sum Test

Filters

Exam 3: Numerical Summaries of Data

Use the given frequency distribution to approximate the mean. Class Frequency 0-9 8 10-19 18 20-29 12 30-39 11 40-49 17

A population has a mean μ=55\mu = 55μ=55 and standard deviation σ=9\sigma = 9σ=9 What number has a z -score of -0.5 ?

The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store. 21.65 32.07 39.46 42.22 14.00 43.02 47.81 41.60 11.99 42.34 16.40 44.80 30.04 45.22 42.16 49.39 29.51 33.42 43.97 46.61 Find the median price for these purchases.

Find the population variance for the following data set: 13 23 26 17 21

Find the median for the following data set: 24 18 17 13 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 data set has a mean of 129 and a standard deviation of 24. Compute the coefficient of variation.

Find the sample standard deviation for the following data set: 25 23 17 16 30

For the data set below, find the first quartile. 76 63 61 66 69 68 77 72 69 63 79

Find the mode for the following data set: 21 27 30 21 29 14

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 all households in the county, would you expect it to be skewed to the right, to the left, or approximately symmetric?

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

Find the mean for the following data set: 28 14 25 19 20

Construct a boxplot for the data set below. 94 96 89 90 90 89 88 85 85 88 92 91 91 90 90 90 93 89 82 84

Find the sample variance for the following data set: 22 12 23 17 21

Find the median of the data in the following stem-and-leaf plot. The leaf represents the ones digit. 1 2577899 2 3 1 4 67

For the data set below, find the upper outlier boundary. 160 176 193 144 163 146 152 158 154 184 129

Find the median for the following data set: 32 24 29 19 13 22

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

Basic Ideas

Graphical Summaries of Data

Probability

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals

Hypothesis Testing

Inferences on Two Samples

Tests With Qualitative Data

Correlation and Regression

Statistical Analysis Questions in ANOVA and Rank-Sum Test

Filters

A population has a mean $\mu = 55$ and standard deviation $\sigma = 9$ What number has a z -score of -0.5 ?