7|0 represents 70 months. based on the stemplot, which of the following statements is true? a the median age…

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.
Answer
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.