Question

The following back-to-back stem plots compare the ages of players from two minor-league hockey teams$(1|7=17Years)$

Which of the following cannot be justified from the plots?

(a) Team $A$has the same number of players in their $30s$as does Team $B$.

(b) The median age of both teams is the same.

(c) Both age distributions are skewed to the right.

(d) The age ranges of both teams are similar.

(e) There are no outliers by the $1.51QR$rule in either distribution.

Short answer

Correct option is (b), The median age of both teams is the same.

Step-by-step solution

Step 1:Given Information

We are given a stem plot of ages of players of two teams

Stem plot is as shown below:

We need to find which option does not justifies given data.

Explanation

Converting stem plot to frequency table

For TEAM A

Age group	Frequency	Cumulative Frequency
$15-19$	$5$	$5$
$20-24$	$8$	$13$
$25-29$	$7$	$20$
$30-34$	$3$	$23$
$35-40$	$2$	$25$

For TEAM B

Age Group	Frequency	Cumulative Frequency
$15-19$	$6$	$6$
$20-24$	$8$	$14$
$25-29$	$6$	$20$
$30-34$	$3$	$23$
$35-40$	$2$	$25$

Calculating median age of above teams using formula

$l+\left(\right(n/2-cf)/f)\times h$

where

$n$is the number of observations

$f$is the frequency of median class

$h$is the class size

$cf$is cumulative frequency.

Median age of team A=localid="1650646081318" $24.6$

Median age of team B= localid="1650646075969" $24.06$

Hence, option (b) is not justified from given information.