Question

A telemarketing firm is monitoring the performance of its employees based on the number of sales per hour. One employee had the following sales for the last 20 hours
3 4 5 5 6 7
a. What is quartile one for the distribution of number of sales per hour?
b. What is the first quartile for the distribution of number of sales per hour?
c. What is the third quartile for the distribution of number of sales per hour?

Answer 1

Answer:

First quartile = 3.5

Third quartile = 6.5

Step-by-step explanation:

Sales for last 20 hours :

3, 4, 5, 5, 6, 7

Using the data given :

The first quartile, Q1 ;

Q1 = 1/4(n+1)th term

n = 6

Q1 = 1/4(6 + 1)th term

Q1 = 7/4 = 1.75 th term

(3 + 4) / 2 = 7/2 = 3.5

The third quartile, Q3:

Q3 = 3/4(n+1)th term

n = 6

Q3 = 3/4(6 + 1)th term

Q3 = 21/4 = 5.25th term

(5th + 6th) term / 2

(6 + 7) / 2 = 13/2 = 6.5