Question

A customer service survey was conducted of 500 customers: 250 men and 250 women. The data on one of the questions show that 175 men and 160 women rate the customer service as excellent. What percentage of men gave an excellent rating? What percentage of women gave an excellent rating? What was the total percentage of customers giving an excellent rating?

a)70%, 64%, 67%
b)70%, 64%, 70%
c)70%, 66%, 67%
d) 75%, 64%, 67%

Answer 1

70%,64%,67%

Explanation:

Answer 2

a) 70%, 64%, 67%

Explanation:

Total customers surveyed = 500

Number of men = 250

Number of women = 250

Number of men who rated the customer service excellent = 175

Number of women who rated the customer service excellent = 160

Total number of customers who rated the customer service excellent =
`175+160 =335`

Percentage of men who rated the customer service excellent

⇒
`\frac{\textrm{Number of men who rated excelent}}{\textrm{Total number of men}}* 100`

⇒
`(175)/(250)* 100`

⇒ 70%

Percentage of women who rated the customer service excellent

⇒
`\frac{\textrm{Number of women who rated excelent}}{\textrm{Total number of men}}* 100`

⇒
`(160)/(250)* 100`

⇒ 64%

Percentage of customers who rated the customer service excellent

⇒
`\frac{\textrm{Number of customers who rated excelent}}{\textrm{Total number of men}}* 100`

⇒
`(335)/(500)* 100`

⇒ 67%

So, the correct order is : 70%, 64%, 67% (Answer)