Question

use the frequency histogram to complete the following parts.
(a) determine the number of classes.
(b) estimate the greatest and least frequencies.
(c) determine the class width.
(d) describe any patterns with the data.
(a) there are classes. (type a whole number.)
(b) the least frequency is about . (round to the nearest whole number as needed.)
the greatest frequency is about . (round to the nearest whole number as needed.)
(c) the class width is . (type an integer or a decimal. do not round.)
(d) what pattern does the histogram show?
a. less than half of the employees make between $35,000 and $59,000.
b. about half of the employees salaries are between $50,000 and $59,000.
c. about half of the employees salaries are between $40,000 and $49,000.
d. most employees make less than $34,000 or more than $60,000.

Explanation:

Step1: Count bar - groups for classes

Count the number of separate bar - groups in the histogram. There are 7 distinct bar - groups, so the number of classes is 7.

Step2: Identify least and greatest frequencies

Visually inspect the histogram. The least frequency is the height of the shortest bar, which is about 50. The greatest frequency is the height of the tallest bar, which is about 250.

Step3: Calculate class width

The class intervals seem to be $30 - 34$, $35 - 39$, etc. Take the lower - limit of two consecutive classes, say 35 and 30. The class width is $35 - 30=5$.

Step4: Analyze data pattern

The histogram shows that the majority of the data is concentrated in the middle classes. The tallest bars are in the classes corresponding to salaries between $40,000 - 49,000$. So about half of the employees' salaries are between $40,000$ and $49,000$.

Answer:

(a) 7
(b) 50, 250
(c) 5
(d) C. About half of the employees' salaries are between $40,000$ and $49,000$