A cumulative frequency distribution on days absent during a calendar year by employees of a manufacturing company is shown below.
Days Absent Cumulative Number of Employees
0 - 260
3 - 531
6 - 814
9 - 116
12 - 142
How many employees were absent more than five days?
Click on the arrows to vote for the correct answer
A. B. C. D. E.Explanation
The cumulative number for class 6-8 will give us the number of people absent more than five days; 14.
To determine the number of employees who were absent for more than five days, we need to analyze the cumulative frequency distribution provided.
The cumulative frequency distribution shows the number of employees who were absent up to a certain number of days. Let's break down the information given:
0 - 2 | 260 3 - 5 | 531 6 - 8 | 814 9 - 11 | 116 12 or more | 142
From the distribution, we can see that the number of employees absent up to 2 days is 260. This means that 260 employees were absent for 0, 1, or 2 days.
Similarly, the number of employees absent between 3 and 5 days is 531, indicating that 531 employees were absent for 3, 4, or 5 days.
Next, the number of employees absent between 6 and 8 days is 814. This implies that 814 employees were absent for 6, 7, or 8 days.
The distribution continues, and we can observe that 116 employees were absent for 9, 10, or 11 days.
Finally, the last category is "12 or more," which indicates that 142 employees were absent for 12 days or more.
To determine the number of employees who were absent for more than five days, we need to sum the cumulative frequencies for days 6 or more, 9 or more, and 12 or more.
6 or more: 814 employees 9 or more: 814 + 116 = 930 employees 12 or more: 930 + 142 = 1072 employees
Therefore, the number of employees who were absent for more than five days is 1072.
However, none of the provided answer choices matches the correct answer of 1072, as given in the question. It seems that there may be an error in the answer choices or the cumulative frequency distribution provided.