Question

A customer service survey was conducted of 400 customers:200 men and 200 women. The data on one of the questions show that 115 of the men and 165 of the women rate the customer service as excellent. What percentage of the men gave an excellent rating? What percentage of the women have an excellent rating? What was the total percentage of customers giving an excellent rating

Answer 1

Answer:

The percentage of men who gave an excellent rating is 57.50%.

The percentage of women who gave an excellent rating is 82.50%.

The total percentage of customers who gave an excellent rating is 70.00%.

We arrive at the answers as follows:

$Percentage of men giving excellent rating = \frac{No. of men giving excellent}{Total number of men}*100$

$\mathbf{Percentage of men giving excellent rating = \frac{115}{200}*100 = 57.50%}$

$Percentage of women giving excellent rating = \frac{No. of women giving excellent}{Total number of women}*100$

$\mathbf{Percentage of women giving excellent rating = \frac{165}{200}*100 = 82.50%}$

$Percentage of total customers giving excellent rating = \frac{No. of customers giving excellent}{Total number of customers}*100$

$\mathbf{Percentage of customers giving excellent rating = \frac{115 + 165}{400}*100 = 70.00%}$