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.

(a) the class with the greatest relative frequency is 40.5 to 42.5 centimeters.
(type integers or decimals. do not round. use ascending order.)

Explanation:

Step1: Analyze Histogram Peaks

Look at the frequency histogram for "Female Fibula Lengths". The tallest bar (greatest relative frequency) is at the class 40.5 to 42.5 cm. The shortest bar (least relative frequency) is at the last class (around 46.5 to 48.5, or the far - right small bar).

Step2: Estimate Frequencies

For the greatest relative frequency, the bar for 40.5 - 42.5 reaches up to around 0.25 (visually, from the y - axis scale). For the least, the last bar is near 0 (very small height, so close to 0).

Step3: Describe Patterns

The data is unimodal (one peak) at 40.5 - 42.5, with frequencies increasing to the peak and then decreasing, but with some smaller fluctuations (like the bar at 42.5 - 44.5 being relatively tall, then decreasing again).

Part (a)

The class with the greatest relative frequency is 40.5 to 42.5 centimeters (as the bar here is the tallest). The class with the least relative frequency is the last class (e.g., 46.5 to 48.5 centimeters, or the right - most small bar) since its bar is the shortest.

Part (b)

The greatest relative frequency is approximately 0.25 (from the y - axis scale, the tallest bar reaches near 0.25). The least relative frequency is approximately 0 (since the last bar is very short, close to 0 on the y - axis).

Part (c)

The data has a unimodal distribution with a peak at the 40.5 - 42.5 centimeter class. The frequencies increase from the left - most classes (lower lengths) up to the peak at 40.5 - 42.5, then generally decrease, though there are some variations (e.g., the bar for 42.5 - 44.5 is relatively high before decreasing again towards the higher length classes).

Answer:

(a) Greatest: 40.5 to 42.5 cm; Least: 46.5 to 48.5 cm (or the right - most small class)

(b) Greatest ≈ 0.25; Least ≈ 0

(c) Unimodal, peaking at 40.5 - 42.5 cm, with frequencies increasing to the peak and then decreasing (with some fluctuations)