Question

Refer to the following frequency distribution of days absent during a calendar year by employees of a manufacturing company:
Days Absent Number of employees
0 up to 3 60
3 up to 6 31
6 up to 9 14
9 up to 12 6
12 up to 15 2
a. How many employees were absent fewer than six days?
b. How many employees were absent more than five days?
c. How many employees were absent from 6 up to 12 days?

Answer 1

Answer:

(a) 91 employees were absent fewer than six days.

(b) 22 employees were absent more than five days.

(c) 20 employees were absent from 6 up to 12 days.

Step-by-step explanation:

The data for the number of days absent during a calendar year by employees of a manufacturing company is given below.

(a)

The number of employees that were absent for fewer than six days is =

$Frequency\ for\ class\ [0\ - \ 3]+Frequency\ for\ class\ [3\ - \ 6]\\=60 +31\\=91$

Thus, there were 91 employees who were absent for fewer than six days.

(b)

The number of employees that were absent for more than 5 days is =

$Frequency\ for\ class\ [6\ -\ 9]+Frequency\ for\ class\ [9\ -\12]+\\Frequency\ for\ class\ [12\ - \15]\\=14+6+2\\=22$

Thus, there were 22 employees who were absent for more than 5 days.

(c)

The number of employees that were absent from 6 up to 12 days is =

$Frequency\ for\ class\ [6\ -\ 9]+Frequency\ for\ class\ [9\ -\12]=14+6\\=20$

Thus, there were 20 employees who were absent from 6 up to 12 days.