Q 2.4. - The Practice of Statistics for AP

Question

Use the back-to-back stem plot in Figure $1.15$ to write a few sentences comparing the number of pairs of shoes owned by males and females. Be sure to address shape, center, spread, and outliers. 

The center of the distribution is close to-

$\left(a\right) 13.3\%. \left(b\right) 12.8\%. \left(c\right) 12.0\%. \left(d\right) 11.6\%. \left(e\right) 6.8\% to 16.8\%$

Step-by-Step Solution

Answer

The correct option is (a) $13.3\%$

Step 1: Given information

The stem pot is 

Step 2: Concept

Centre: can be described by selecting a value that divides the observations in half, with the bigger half taking greater values and the smaller half taking lower values.

Step 3: Explanation

The center can be described by simply determining the value that splits the observations in half, with one half taking a higher value and the other half taking a lower value. The median of the distribution is this value. There are $50$ possible values, and the median is determined by adding the averages of the ${25}^{th}$ and ${26}^{th}$ values, which is $13.3\%$Hence, option (a) is correct