Question

(c) identify one fact that the data show. choose the correct answer below.
a. about two - thirds of females have a fibula length between 41.5 and 49.5 centimeters.
b. about 25% of females have a fibula length between 39.5 and 41.5 centimeters.
c. about 25% of females have a fibula length between 33.5 and 35.5 centimeters.
d. about two - thirds of females have a fibula length between 31.5 and 39.5 centimeters.

Explanation:

Step1: Analyze frequency distribution

We need to estimate the relative - frequency of the given intervals from the histogram.

Step2: Calculate relative - frequency for each option

For option A: We sum the relative - frequencies of the bars in the interval \(41.5 - 49.5\).
For option B: We sum the relative - frequencies of the bars in the interval \(39.5 - 41.5\).
For option C: We sum the relative - frequencies of the bars in the interval \(33.5 - 35.5\).
For option D: We sum the relative - frequencies of the bars in the interval \(31.5 - 39.5\).
By visually estimating the areas of the bars in the histogram for each interval, we find that the relative - frequency of the interval \(31.5 - 39.5\) is approximately two - thirds.

Answer:

D. About two - thirds of females have a fibula length between 31.5 and 39.5 centimeters.