Question 1

The calculator screens summarize a data set.  
a. How many data items are in the set?
b. What is the sum of the data?
c. Identify the mean, median, and mode, if possible.

Accepted Answer

The answer of The calculator screens summarize a data set....

Question 2

The amount spent on textbooks for the fall term was recorded for a sample of five university students - $400, $350, $600, $525, and $450. Calculate the value of the sample mean for the data.

Accepted Answer

A) $450 
B) $465 
C) $400 
D) $600

Question 3

A survey was conducted to determine how people feel about the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all)to 100
(extremely good quality). The stem-and-leaf display of the data is shown below. $$\begin{array} { r | l l l l l l l l } 
\text { Stem } & \text { Leaf } & & & & & \
\hline 3 & 2 & 3 & & & & & & \
4 & 0 & 3 & 4 & 7 & 8 & 9 & 9 & 9 \
5 & 0 & 1 & 1 & 2 & 3 & 4 & 5 & \
6 & 1 & 2 & 5 & 6 & 6 & & & \
7 & 4 & 9 & & & & & \
8 & & & & & & & \
9 & 9 & & & & & &
\end{array}$$ What percentage of the respondents rated overall television quality as very good (regarded as
Ratings of 80 and above)?

Accepted Answer

A) 1% 
B) 36% 
C) 4% 
D) 9%

Question 4

A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill
Of a 3-bedroom house using gas or electric energy had a mean of $143 and a standard deviation of
$8. If the distribution can be considered mound-shaped and symmetric, what percentage of homes
Will have a monthly utility bill of more than $135?

Accepted Answer

A) approximately 34% 
B) approximately 84% 
C) approximately 16% 
D) approximately 95%

Question 5

In a distribution that is skewed to the right, what is the relationship of the mean, median, and mode?

Accepted Answer

A) mean > median > mode 
B) mode > mean > median 
C) mode > median > mode 
D) median > mean > mode

Question 6

The box plot shown below was constructed for the amount of soda that was poured by a filling machine into 12-ounce soda cans at a local soda bottling company.  We see that one soda can received 12.15 ounces of soda on the plot above. Based on the box plot
Presented, how would you classify this observation?

Accepted Answer

A) highly suspect outlier 
B) it has a lot of soda 
C) suspect outlier 
D) expected observation

Question 7

A recent survey was conducted to compare the cost of solar energy to the cost of gas or
electric energy. Results of the survey revealed that the distribution of the amount of the
monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of
$118.00 and a standard deviation of $15.00. Assuming the distribution is mound-shaped
and symmetric, would you expect to see a 3-bedroom house using gas or electric energy
with a monthly utility bill of $230.50? Explain.

Accepted Answer

The answer of A recent survey was conducted to compare...

Question 8

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed was 100 miles per hour
(mph)and the standard deviation of the serve speeds was 15 mph. If nothing is known about the
Shape of the distribution, what percentage of the playerʹs serve speeds are less than 70 mph?

Accepted Answer

A) approximately 2.5% 
B) at most 12.5% 
C) approximately 5% 
D) at most 11% 
E) at most 25%

Question 9

During one recent year, U.S. consumers redeemed 6.16 billion manufacturersʹ coupons and saved themselves $2.27 billion. Calculate and interpret the mean savings per coupon.

Accepted Answer

A) Half of all coupons were worth more than 271.4 cents in savings. 
B) The average savings was $0.37 per coupon. 
C) Half of all coupons were worth more than $0.37 in savings. 
D) The average savings was 271.4 cents per coupon.

Question 10

In general, the sample mean is a better estimator of the population mean for larger sample sizes.

Accepted Answer

A) True 
 B)False

Question 11

Each year advertisers spend billions of dollars purchasing commercial time on network
television. In the first 6 months of one year, advertisers spent $1.1 billion. Who were the
largest spenders? In a recent article, the top 10 leading spenders and how much each
spent (in million of dollars)were listed: $$\begin{array} { l r l r } 
\text { Company A } & \$ 72.2 & \text { Company F } & \$ 27.2 \
\text { Company B } & 63 & \text { Company G } & 24.2 \
\text { Company C } & 57.2 & \text { Company H } & 22.5 \
\text { Company D } & 55.3 & \text { Company I } & 22.1 \
\text { Company E } & 30.5 & \text { Company J } & 19.4
\end{array}$$ Calculate the mean and median for the data.

Accepted Answer

The answer of Each year advertisers spend billions of dollars...

Question 12

Compute $\mathrm { s } ^ { 2 }$ and s for the data set: $\frac { 1 } { 10 } , \frac { 3 } { 5 } , \frac { 1 } { 10 } , \frac { 1 } { 5 } , \frac { 7 } { 10 } , \frac { 3 } { 10 } .$

Accepted Answer

A)  0.033 ; 0.183 
B)  6.667 ; 2.582 
C)  0.767 ; 0.876 
D)  0.067 ; 0.258

Question 13

In skewed distributions, the mean is the best measure of the center of the distribution since it is
least affected by extreme observations.

Accepted Answer

A) True 
 B)False

Question 14

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player
Was 105 miles per hour. Suppose that the statistician indicated that the serve speed distribution
Was skewed to the left. Which of the following values is most likely the value of the median serve
Speed?

Accepted Answer

A) 105 mph 
B) 96 mph 
C) 87 mph 
D) 114 mph

Question 15

A Pareto diagram is a pie chart where the slices are arranged from largest to smallest in a
counterclockwise direction.

Accepted Answer

A) True 
 B)False

Question 16

The total points scored by a basketball team for each game during its last season have been
summarized in the table below. Identify the modal class of the distribution of scores. $$\begin{array} { | c | c | } 
\hline \text { Score } & \text { Frequency } \
\hline 41 - 60 & 3 \
\hline 61 - 80 & 8 \
\hline 81 - 100 & 12 \
\hline 101 - 120 & 7 \
\hline
\end{array}$$

Accepted Answer

The answer of The total points scored by a basketball...

Question 17

Summary information is given for the weights (in pounds)of 1000 randomly sampled tractor trailers. $$\begin{array} { l r l r } 
\text { MIN: } & 4013 & 25 \% : & 5613 \
\text { MAX: } & 10,613 & 75 \% : & 8613 \
\text { AVE: } & 7013 & \text { Std. Dev.: } & 1400
\end{array}$$ Find the percentage of tractor trailers with weights between 5613 and 8613 pounds.

Accepted Answer

A) 50% 
B) 100% 
C) 25% 
D) 75%

Question 18

Explain how it can be misleading to report only the mean of a distribution without any
measure of the variability.

Accepted Answer

The answer of Explain how it can be misleading to...

Question 19

Fill in the blank. One advantage of the __________ is that the actual data values are retained in the graphical summarization of the data.

Accepted Answer

A) histogram 
B) pie chart 
C) stem-and-leaf plot

Question 20

The total points scored by a basketball team for each game during its last season have
been summarized in the table below. $$\begin{array} { | c | c | } 
\hline \text { Score } & \text { Frequency } \
\hline 41 - 60 & 3 \
\hline 61 - 80 & 8 \
\hline 81 - 100 & 12 \
\hline 101 - 120 & 7 \
\hline
\end{array}$$ a. Explain why you cannot use the information in the table to construct a stem-and-leaf
display for the data.
b. Construct a histogram for the scores.

Accepted Answer

The answer of The total points scored by a basketball...

Exam 2: Methods for Describing Sets of Data

The calculator screens summarize a data set. a. How many data items are in the set? b. What is the sum of the data? c. Identify the mean, median, and mode, if possible.

The amount spent on textbooks for the fall term was recorded for a sample of five university students - $400, $350, $600, $525, and $450. Calculate the value of the sample mean for the data.

In a distribution that is skewed to the right, what is the relationship of the mean, median, and mode?

During one recent year, U.S. consumers redeemed 6.16 billion manufacturersʹ coupons and saved themselves $2.27 billion. Calculate and interpret the mean savings per coupon.

In general, the sample mean is a better estimator of the population mean for larger sample sizes.

Compute s2\mathrm { s } ^ { 2 }s2 and s for the data set: 110,35,110,15,710,310.\frac { 1 } { 10 } , \frac { 3 } { 5 } , \frac { 1 } { 10 } , \frac { 1 } { 5 } , \frac { 7 } { 10 } , \frac { 3 } { 10 } .101​,53​,101​,51​,107​,103​.

In skewed distributions, the mean is the best measure of the center of the distribution since it is least affected by extreme observations.

A Pareto diagram is a pie chart where the slices are arranged from largest to smallest in a counterclockwise direction.

Explain how it can be misleading to report only the mean of a distribution without any measure of the variability.

Fill in the blank. One advantage of the __________ is that the actual data values are retained in the graphical summarization of the data.

Compute $\mathrm { s } ^ { 2 }$ and s for the data set: $\frac { 1 } { 10 } , \frac { 3 } { 5 } , \frac { 1 } { 10 } , \frac { 1 } { 5 } , \frac { 7 } { 10 } , \frac { 3 } { 10 } .$