Question

the ages (in years) of a random sample of shoppers at a gaming store are shown. determine the range, mean, variance, and standard deviation of the sample data set. 12, 15, 23, 14, 14, 17, 21, 18, 13, 17 the range is 11. (simplify your answer.) the mean is. (simplify your answer. round to the nearest tenth as needed.)

Explanation:

Step1: Calculate the mean

The formula for the mean \(\bar{x}\) of a sample \(x_1,x_2,\cdots,x_n\) is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}\).
Here \(n = 10\) and \(\sum_{i=1}^{10}x_i=12 + 15+23+14+14+17+21+18+13+17=164\).
So \(\bar{x}=\frac{164}{10}=16.4\)

Answer:

\(16.4\)