Question

7|0 represents 70 months. based on the stemplot, which of the following statements is true? a the median age and the range of ages are both greater for female bears than for male bears. b the median age and the range of ages are both less for female bears than for male bears. c the median age is the same for female bears and male bears, and the range of ages is the same for female bears and male bears.

Explanation:

Step1: Count number of data - points for each gender

For female bears, count the number of values in the stemplot. There are 20 values. For male bears, there are 20 values.

Step2: Find the median for female bears

Since \(n = 20\) (even), the median is the average of the \(\frac{n}{2}=10\)th and \((\frac{n}{2}+ 1)=11\)th ordered values. Arranging the female - bear ages in ascending order, the 10th value is 34 and the 11th value is 35. So, the median for female bears is \(\frac{34 + 35}{2}=34.5\).

Step3: Find the median for male bears

Since \(n = 20\) (even), the median is the average of the 10th and 11th ordered values. Arranging the male - bear ages in ascending order, the 10th value is 24 and the 11th value is 25. So, the median for male bears is \(\frac{24+25}{2}=24.5\).

Step4: Find the range for female bears

The maximum age of female bears is 45 and the minimum is 15. The range is \(45 - 15=30\).

Step5: Find the range for male bears

The maximum age of male bears is 38 and the minimum is 1. The range is \(38 - 1=37\).

Answer:

B. The median age and the range of ages are both less for female bears than for male bears.