Respuesta :
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 3
To 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.
