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

Answer:

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

Step-by-step 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

$\text{Weighted mean}=\frac{\sum (x_i\times w_i)}{\sum w_i}$

Substituting the values in the formula,

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

$\text{Weighted mean}=\frac{2+16+42+24}{15}$

$\text{Weighted mean}=\frac{84}{15}$

$\text{Weighted mean}=5.6$

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