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Chapter 12: Q. 21 (page 802)

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 Ahas the same number of players in their 30sas 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 1.51QRrule in either distribution.

Short Answer

Expert verified

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

Step by step solution

01

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.

02

Explanation

Converting stem plot to frequency table

For TEAM A

Age groupFrequencyCumulative 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 GroupFrequencyCumulative 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+((n/2-cf)/f)×h

where

nis the number of observations

fis the frequency of median class

his the class size

cfis 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.

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