Question

The data below represents the number of T-shirts sold per week by a student who started his own online t-shirt business. Find the weighted mean of the number of t-shirts sold per week. (Round your answer to the nearest tenth if necessary.)

T-Shirts Sold per Week Frequency
2 1
4 4
6 7
8 3

Answer 1

The weighted mean of the number of t-shirts sold per week is 5.6.

Explanation:

Given : The data below represents the number of T-shirts sold per week by a student who started his own online t-shirt business.

T-Shirt Sold per Week(
`x_i`) Frequency(
`w_i`)

2 1

4 4

6 7

8 3

To find : The weighted mean of the number of t-shirts sold per week ?

Solution :

The formula of weighted mean is

`\text{Weighted mean}=(\sum (x_i* w_i))/(\sum w_i)`

Substituting the values in the formula,

`\text{Weighted mean}=(2(1)+4(4)+6(7)+8(3))/(1+4+7+3)`

`\text{Weighted mean}=(2+16+42+24)/(15)`

`\text{Weighted mean}=(84)/(15)`

`\text{Weighted mean}=5.6`

Therefore, The weighted mean of the number of t-shirts sold per week is 5.6.