Question 1

The mean and the median are useful measures of central tendency for both qualitative and quantitative data.

Accepted Answer

A) True 
 B)False

Question 2

Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean of the test scores is 74. Additional information indicated that the median of the test scores was 84. What type of distribution most likely describes the shape of the test scores?

Accepted Answer

A)  skewed to the left 
B)  symmetric 
C)  skewed to the right 
D)  unable to determine with the information given

Question 3

The following data represent the scores of 50 students on a statistics exam. The mean score is 80.02, and the standard deviation is 11.9. $$\begin{array} { l l l l l l l l l l } 
39 & 51 & 59 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \
71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \
79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \
85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \
90 & 90 & 91 & 91 & 92 & 95 & 96 & 97 & 97 & 98
\end{array}$$ Find the z-scores for the highest and lowest exam scores.

Accepted Answer

The answer of The following data represent the scores of...

Question 4

If a sample has mean 0 and standard deviation 1, then for every measurement x in the sample the z-score of x is x itself.

Accepted Answer

A) True 
 B)False

Question 5

The process for finding a percentile is similar to the process for finding the median.

Accepted Answer

A) True 
 B)False

Question 6

Which of the graphical techniques below can be used to summarize qualitative data?

Accepted Answer

A)  bar graph 
B)  dot plot 
C)  stem-and-leaf plot 
D)  box plot

Question 7

An outlier is defined as any observation that falls within the outer fences of a box plot.

Accepted Answer

A) True 
 B)False

Question 8

What characteristic of a Pareto diagram distinguishes it from other bar graphs?

Accepted Answer

The answer of What characteristic of a Pareto diagram distinguishes...

Question 9

An outlier may be caused by accidentally including the height of a six-year-old boy in a set of data representing the heights of 12-year-old boys.

Accepted Answer

A) True 
 B)False

Question 10

The scores of nine members of a women's golf team in two rounds of tournament play are listed below. $$\begin{array} { l | c | c | c | c | c | c | c | c | c } 
\text { Player } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \
\hline \text { Round 1 } & 85 & 90 & 87 & 78 & 92 & 85 & 79 & 93 & 86 \
\text { Round 2 } & 90 & 87 & 85 & 84 & 86 & 78 & 77 & 91 & 82
\end{array}$$ Construct a scattergram for the data.

Accepted Answer

The answer of The scores of nine members of a...

Question 11

Calculate the range of the following data set: 9, 6, 9, 2, 8, 10, 6, 6, 9

Accepted Answer

A)  8 
B)  10 
C)  2 
D)  12

Question 12

By law, a box of cereal labeled as containing 18 ounces must contain at least 18 ounces of cereal. The machine filling the boxes produces a distribution of fill weights with a mean equal to the setting on the machine and with a standard deviation equal to 0.03 ounce. To ensure that most of the boxes contain at least 18 ounces, the machine is set so that the mean fill per box is 18.09 ounces. Assuming nothing is known about the shape of the distribution, what can be said about the proportion of cereal boxes that contain less than 18 ounces.

Accepted Answer

A)  The proportion is at most 11%. 
B)  The proportion is at least 89%. 
C)  The proportion is at most 5.5%. 
D)  The proportion is less than 2.5%.

Question 13

Which number on the screen below is the sample standard deviation of the data?

Accepted Answer

A)  2.82 
B)  408 
C)  5.8 
D)  2.67

Question 14

The box plot shown below displays the amount of soda that was poured by a filling machine into 12 -ounce soda cans at a local bottling company. Based on the box plot, what shape do you believe the distribution of the data to have?

Accepted Answer

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

Exam 2: Methods for Describing Sets of Data

The mean and the median are useful measures of central tendency for both qualitative and quantitative data.

If a sample has mean 0 and standard deviation 1, then for every measurement x in the sample the z-score of x is x itself.

The process for finding a percentile is similar to the process for finding the median.

Which of the graphical techniques below can be used to summarize qualitative data?

An outlier is defined as any observation that falls within the outer fences of a box plot.

What characteristic of a Pareto diagram distinguishes it from other bar graphs?

An outlier may be caused by accidentally including the height of a six-year-old boy in a set of data representing the heights of 12-year-old boys.

Calculate the range of the following data set: 9, 6, 9, 2, 8, 10, 6, 6, 9

Which number on the screen below is the sample standard deviation of the data?

The box plot shown below displays the amount of soda that was poured by a filling machine into 12 -ounce soda cans at a local bottling company. Based on the box plot, what shape do you believe the distribution of the data to have?