Question

find the mean of this data set: 15, 18, 16, 20, 17, 19, 14

Explanation:

Step1: Sum all data points

$$15 + 18+16 + 20+17+19+14$$
$$=(15 + 18)+16 + 20+17+19+14$$
$$=33+16 + 20+17+19+14$$
$$=49+20 + 17+19+14$$
$$=69+17 + 19+14$$
$$=86+19 + 14$$
$$=105+14$$
$$=119$$

Step2: Count the number of data points

There are \(n = 7\) data points.

Step3: Calculate the mean

The mean formula is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=119\) and \(n = 7\) into the formula: \(\bar{x}=\frac{119}{7}=17\)

Answer:

\(17\)