Questions: 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. Female Fibula Lengths (a) The class with the greatest relative frequency is to centimeters. (Type integers or decimals. Do not round. Use ascending order.) The class with the least relative frequency is to centimeters. (Type integers or decimals. Do not round. Use ascending order.)

Solution Steps

The class with the greatest relative frequency is the tallest bar in the histogram. This corresponds to the interval from 35 to 35.5 cm. Since each bar represents a range of 0.5 cm, this bar represents the class from 34.5 cm to 35 cm. Because the bars are centered around a value and the bars extend half the difference between two consecutive values on either side of the center, then the class includes measurements greater than or equal to 34.5 and less than 35. The values increase from left to right, so 34.5 to 35.

The class with the least relative frequency is the shortest bar in the histogram. This corresponds to the interval from 39 to 39.5 cm. This bar represents the class from 39 to 39.5 cm.

The greatest relative frequency is the height of the tallest bar. The top of this bar appears to be just below the 0.25 mark, around 0.245.

The least relative frequency is the height of the shortest bar. The top of this bar appears to be between the 0.01 and the 0.02 line at about 0.01.

The distribution appears to be unimodal and roughly symmetric. The data clusters around the center, which is approximately 35 cm. The frequencies decrease as the lengths move away from the center.

Final Answer