Question

use the frequency histogram to complete the following parts. (a) identify the class with the greatest, and the class with the least, relative frequency. (b) estimate the greatest and least relative frequencies. (c) describe any patterns with the data. (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: Identify the class with the greatest and least relative - frequencies

By observing the histogram, the class with the greatest relative frequency is the interval around 40.5 - 42.5 centimeters (the tallest bar), and the class with the least relative frequency is the interval around 30.5 - 32.5 centimeters (the shortest non - zero bar).

Step2: Estimate the relative frequencies

The relative frequency of the class around 40.5 - 42.5 centimeters is approximately 0.22, and the relative frequency of the class around 30.5 - 32.5 centimeters is approximately 0.03.

Step3: Analyze the pattern for part (c)

The pattern shows that the relative frequencies increase from the lower lengths (around 30.5 centimeters) up to a peak around 40.5 - 42.5 centimeters and then decrease for the higher lengths. This indicates that most female fibula lengths are concentrated around 40.5 - 42.5 centimeters, with fewer lengths at the lower and higher ends of the measured range.

Step4: Answer part (c)

The data is unimodal (has one peak) and symmetric to slightly right - skewed. The peak represents the most common range of fibula lengths for females.

Answer:

(a) The class with the greatest relative frequency is approximately 40.5 - 42.5 centimeters, and the class with the least relative frequency is approximately 30.5 - 32.5 centimeters.
(b) The greatest relative frequency is about 0.22, and the least relative frequency is about 0.03.
(c) The data is unimodal and symmetric to slightly right - skewed, with most female fibula lengths concentrated around 40.5 - 42.5 centimeters.