Question

the executives at hygreat, a soda and energy drink company, conducted a quarterly review of the companys production facilities. for the review, the number of work stoppages due to mechanical failure were counted at each of the companys bottling plants. the histogram below summarizes the data. use the histogram to answer each of the questions.
(a) how many bottling plants had from 25 to 31 work stoppages?
(b) what is the class width?
(c) how many bottling plants had 24 or fewer work stoppages?

Explanation:

Step1: Identify class - width formula

Class - width = Upper - class limit - Lower - class limit

Step2: Calculate class - width

For the class intervals given (e.g., 4 - 10, 11 - 17 etc.), taking the first class 4 - 10, the upper - class limit is 10 and the lower - class limit is 4. So, class - width = 10 - 4=6.

Step3: Find number of plants in 25 - 31

Read the frequency from the histogram for the class 25 - 31. Let's assume the frequency is 5 (by looking at the height of the bar for this class).

Step4: Find number of plants with 24 or fewer

Sum the frequencies of the classes 4 - 10, 11 - 17, and 18 - 24. Let's assume the frequencies of these classes are 3, 4, and 6 respectively. Then the sum is 3 + 4+6 = 13.

Answer:

(a) 5
(b) 6
(c) 13