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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

User Eduardohl
by
9.0k points

1 Answer

3 votes

Answer:

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.

User Amit Beckenstein
by
7.3k points

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