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the data below represents the number of t - shirts sold per week by a s…

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 mean number of t - shirts sold per week. (round your answer to the nearest tenth if necessary.)

t - shirts sold per weekfrequency
105
151
204

mean =
question help: video worked example 1

Explanation:

Step1: Calculate the sum of \(x\times f\)

Multiply each value of T - shirts sold (\(x\)) by its frequency (\(f\)) and sum them up.

$$ LATEXBLOCK0 $$

Step2: Calculate the total frequency

Sum up all the frequencies.

$$7 + 5+1 + 4=17$$

Step3: Calculate the mean

Use the formula for the mean of a frequency - distribution \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}f_{i}}{\sum_{i = 1}^{n}f_{i}}\)

$$ \bar{x}=\frac{180}{17}\approx10.6 $$

Answer:

\(10.6\)