Question

use the frequency histogram to complete the following parts. (a) determine the number of classes. (type a whole number.) (b) the least frequency is about . (round to the nearest whole number as needed.) (c) the greatest frequency is about . (round to the nearest whole number as needed.) (d) determine the class width. (type an integer or a decimal. do not round.) (e) what pattern does the histogram show?

Explanation:

Step1: Count number of classes

By observing the histogram, we can count the number of bars which represent the classes. There are 6 classes.

Step2: Determine least frequency

We look at the height of each bar. The bar corresponding to a salary of 62 (in thousands of dollars) has the least height. By estimating from the y - axis (frequency), the least frequency is about 10.

Step3: Determine greatest frequency

The bar corresponding to a salary of 32 (in thousands of dollars) has the greatest height. By estimating from the y - axis, the greatest frequency is about 30.

Step4: Calculate class width

The class intervals are 32 - 37, 37 - 42, 42 - 47, 47 - 52, 52 - 57, 57 - 62. The class width is calculated as the difference between the upper - limit and lower - limit of a class interval. For example, for the class 32 - 37, the class width is $37 - 32=5$.

Answer:

(a) 6
(b) 10
(c) 30
(d) 5