Chapter 13.3, Problem 8PPS

(a)

To determine

To Find: The season in which Cami have a greater range of points.

Answer to Problem 8PPS

Cami’s point in $2012$ has higher range than $2011$

Explanation of Solution

Given: The table shows the number of points cami scored per basketball game.

  

In which season cami have a greater range of points?

Finding range

For Cami’s points in$2011$

Highest vale = $27$

Lowest value = $6$

Range = Highest value − lowest value

  $\begin{array}{l}=27-6\\ =21\end{array}$

For Cami’s points in$2012$

Highest vale = $40$

Lowest value = $14$

Range = Highest value − lowest value

  $\begin{array}{l}=40-14\\ =26\end{array}$

Hence, cami’s point in $2012$ has higher range than $2011$

(b)

To determine

To Find:The appropriate measure of central tendency.

Answer to Problem 8PPS

In $2011$ , mean is the appropriate measure of central tendency

In $2012$ , mode is the appropriate measure of central tendency

Explanation of Solution

Given:The table shows the number of points cami scored per basketball game.

  

Select the appropriate measure of central tendency to describe the number of points she scored each season. Justify your response

For Cami’s points in$2011$

Mean

  $\frac{6+7+\mathrm{.....27}}{14}=13.14$

Median= $11$

Mode= $14$

For Cami’s points in$2012$

Mean

  $\frac{14+\mathrm{14....40}}{14}=21$

Median= $20$

Mode= $10$

Hence,

In $2011$ , mean is the appropriate measure of central tendency because the data has no extreme values.

In $2012$ , mode is the appropriate measure of central tendency because the data has so many repeated values.

(c)

To determine

To Find:How does the inclusion of the outlier for the number of points scored in $2012$ season affect the change?

Answer to Problem 8PPS

Range is increased by $14$ in season $2012$

Explanation of Solution

Given:The table shows the number of points cami scored per basketball game.

  

The score $40$ is considered an outlier. How does the inclusion of the outlier for the number of points scored in $2012$ season affect the change?

Range without the outlier

  $\begin{array}{l}=26-14\\ =12\end{array}$

Range with the outlier

  $\begin{array}{l}=40-14\\ =26\end{array}$

It is concluded that when the outlier is included the range is increased by $14$ in season $2012$