Question

a group of 7 students was asked, how many hours did you watch television last week? here are their responses. 10, 12, 10, 18, 18, 4, 17. find the mean number of hours for these students. if necessary, round your answer to the nearest tenth.

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 7$ and the data points are $x_1=10,x_2 = 12,x_3=10,x_4=18,x_5=18,x_6 = 4,x_7=17$.

Step2: Calculate the sum of data - points

$\sum_{i = 1}^{7}x_{i}=10 + 12+10+18+18+4+17=89$.

Step3: Calculate the mean

$\bar{x}=\frac{89}{7}\approx12.7$.

Answer:

$12.7$