Question 1

Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.
-The race speeds for the top eight cars in a 200-mile race are listed below. 
$$\begin{array} { l l l l l l l l } 
188.8 & 183.0 & 189.2 & 182.1 & 175.6 & 184.6 & 178.3 & 179.4
\end{array}$$

Accepted Answer

A)  7.5 
B)  3.4 
C)  6.8 
D)  1.1

Question 2

Find the midrange for the given sample data.
-The speeds (in mph) of the cars passing a certain checkpoint are measured by radar. The results are shown below. Find the midrange. $\begin{array} { l l l l l } 44.1 & 41.7 & 42.4 & 40.2 & 43.9 \end{array}$
$\begin{array} { l l l l l } 40.2 & 45.0 & 41.9 & 44.1 & 42.2 \end{array}$
$\begin{array} { l l l l l } 44.0 & 41.9 & 40.2 & 44.0 & 41.7 \end{array}$

Accepted Answer

A)  4.80 mph 
B)  42.2 mph 
C)  42.60 mph 
D)  42.15 mph

Question 3

$\text {data set}:\quad12\quad6\quad42\quad24\quad12\quad30\quad54\quad\quad54\quad66\quad18\quad6\quad54\quad36\quad6\quad54;$
$\text { data value: } \quad42$

Accepted Answer

A)  70 
B)  60 
C)  35 
D)  52

Question 4

Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values.
-The local Tupperware dealers earned these commissions last month: $$\begin{array} { l l l l l } 
\$ 3120.40 & \$ 2050.85 & \$ 4357.05 & \$ 4632.26 & \$ 3033.20 \
\$ 3150.18 & \$ 1772.68 & \$ 1586.15 & \$ 2269.53 & \$ 3692.16
\end{array}$$ What was the mean commission earned? Round your answer to the nearest cent.

Accepted Answer

A)  $2966.45 
B)  $3296.05 
C)  $3708.06 
D)  $2960.45

Question 5

Skewness can be measured by Pearson's index of skewness: $$\mathrm { I } = \frac { 3 ( \overline { \mathrm { x } } - \text { median } ) } { \mathrm { s } }$$
If $\mathrm { I } \geq 1.00$ or $\mathrm { I } \leq - 1.00$, the data can be considered significantly skewed. Find Pearson's index of skewness for the test scores below.

$\begin{array} { l l l l l l } 68 & 80 & 36 & 94 & 72 & 42 \ 75 & 91 & 84 & 73 & 88 & \end{array}$

A) $0.32$
B) $- 0.27$
C) $- 0.32$
D) $- 0.34$

Accepted Answer

The answer of Skewness can be measured by Pearson's index...

Question 6

Marla scored 85% on her last unit exam in her statistics class. When Marla took the SAT exam, she scored at the 85 percentile in mathematics. Explain the difference in these two scores.

Accepted Answer

The answer of Marla scored 85% on her last unit...

Question 7

A company advertises an average of 42,000 miles for one of its new tires. In the manufacturing process there is some variation around that average. Would the company want a process that provides a large or a small variance? Justify your answer.

Accepted Answer

The answer of A company advertises an average of 42,000...

Exam 3: Statistics for Describing, Exploring, and Comparing Data

Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. -The race speeds for the top eight cars in a 200-mile race are listed below. $\begin{array} { l l l l l l l l } 188.8 & 183.0 & 189.2 & 182.1 & 175.6 & 184.6 & 178.3 & 179.4\end{array}$

$\text {data set}:\quad12\quad6\quad42\quad24\quad12\quad30\quad54\quad\quad54\quad66\quad18\quad6\quad54\quad36\quad6\quad54;$ $\text { data value: } \quad42$

Marla scored 85% on her last unit exam in her statistics class. When Marla took the SAT exam, she scored at the 85 percentile in mathematics. Explain the difference in these two scores.

A company advertises an average of 42,000 miles for one of its new tires. In the manufacturing process there is some variation around that average. Would the company want a process that provides a large or a small variance? Justify your answer.

Exam 3: Statistics for Describing, Exploring, and Comparing Data

data set:126422412305454661865436654;\text {data set}:\quad12\quad6\quad42\quad24\quad12\quad30\quad54\quad\quad54\quad66\quad18\quad6\quad54\quad36\quad6\quad54;data set:126422412305454661865436654; data value: 42\text { data value: } \quad42 data value: 42

Marla scored 85% on her last unit exam in her statistics class. When Marla took the SAT exam, she scored at the 85 percentile in mathematics. Explain the difference in these two scores.

A company advertises an average of 42,000 miles for one of its new tires. In the manufacturing process there is some variation around that average. Would the company want a process that provides a large or a small variance? Justify your answer.

$\text {data set}:\quad12\quad6\quad42\quad24\quad12\quad30\quad54\quad\quad54\quad66\quad18\quad6\quad54\quad36\quad6\quad54;$ $\text { data value: } \quad42$