Q:

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 Frequency2 14 46 78 3

Accepted Solution

A:
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([tex]x_i[/tex]) Frequency([tex]w_i[/tex])          2                                                          1 4                                                          4 6                                                          7 8                                                          3To find : The weighted mean of the number of t-shirts sold per week ?Solution : The formula of weighted mean is[tex]\text{Weighted mean}=\frac{\sum (x_i\times w_i)}{\sum w_i}[/tex]Substituting the values in the formula,[tex]\text{Weighted mean}=\frac{2(1)+4(4)+6(7)+8(3)}{1+4+7+3}[/tex][tex]\text{Weighted mean}=\frac{2+16+42+24}{15}[/tex][tex]\text{Weighted mean}=\frac{84}{15}[/tex][tex]\text{Weighted mean}=5.6[/tex]Therefore, The weighted mean of the number of t-shirts sold per week is 5.6.