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) the class width is (type an integer or a decimal. do not round.) (e) what pattern does the histogram show? (f) less than half of the employees make between $35,000 and $59,000

Explanation:

Step1: Count number of bars

Count the number of distinct bars in the histogram to find the number of classes. There are 6 bars, so there are 6 classes.

Step2: Determine least - frequency

Identify the bar with the smallest height. The bar at salary 62 (in thousands of dollars) has the least height. By estimating from the y - axis, the least frequency is about 20.

Step3: Determine greatest - frequency

Identify the bar with the largest height. The bar at salary 32 (in thousands of dollars) has the largest height. By estimating from the y - axis, the greatest frequency is about 80.

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 lower limits of two consecutive classes. For example, \(37 - 32=5\).

Step5: Analyze pattern

The frequencies start high at the lower - salary classes and decrease as the salary increases.

Answer:

(a) 6
(b) 20
(c) 80
(d) 5
(e) The frequencies are higher for lower - salary classes and decrease as the salary increases.