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.)

mean =

Explanation:

Step1: Calculate the product of each data - frequency pair

For \(4\) and \(5\): \(4\times5 = 20\)
For \(8\) and \(1\): \(8\times1=8\)
For \(12\) and \(2\): \(12\times 2 = 24\)
For \(16\) and \(6\): \(16\times6=96\)

Step2: Calculate the sum of the products

\(20 + 8+24 + 96=148\)

Step3: Calculate the total frequency

\(5 + 1+2 + 6=14\)

Step4: Calculate the mean

The mean formula for grouped data (when frequency is involved) is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}f_{i}}{\sum_{i = 1}^{n}f_{i}}\), where \(x_{i}\) is the data value and \(f_{i}\) is the frequency.
So, \(\bar{x}=\frac{148}{14}\approx10.6\)

Answer:

\(10.6\)