Questions: The data below represents the number of T-shirts sold per week by a student who started his own online Tshirt business. Find the mean number of T-shirts sold per week. (Round your answer to the nearest tenth if necessary.) T-Shirts Sold per Week Frequency 2 7 4 3 6 1 8 6 Mean =

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

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

Mean =

Transcript text: The data below represents the number of T-shirts sold per week by a student who started his own online Tshirt business. Find the mean number of T-shirts sold per week. (Round your answer to the nearest tenth if necessary.) \begin{tabular}{|r|r|} \hline T-Shirts Sold per Week & Frequency \\ \hline 2 & 7 \\ \hline 4 & 3 \\ \hline 6 & 1 \\ \hline 8 & 6 \\ \hline \end{tabular} Mean $=$ $\square$

Solution

Solution Steps

Step 1: Calculate Total T-shirts Sold

To find the total number of T-shirts sold, multiply each number of T-shirts by its frequency and sum the results:

\[ \text{Total T-shirts Sold} = (2 \times 7) + (4 \times 3) + (6 \times 1) + (8 \times 6) = 14 + 12 + 6 + 48 = 80 \]

Step 2: Calculate Total Number of Weeks

Sum the frequencies to find the total number of weeks:

\[ \text{Total Weeks} = 7 + 3 + 1 + 6 = 17 \]

Step 3: Calculate the Mean Number of T-shirts Sold per Week

Divide the total number of T-shirts sold by the total number of weeks to find the mean:

\[ \text{Mean} = \frac{80}{17} \approx 4.7059 \]

Step 4: Round the Mean to the Nearest Tenth

Round the mean to the nearest tenth:

\[ \text{Rounded Mean} = 4.7 \]

Final Answer

\(\boxed{4.7}\)

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