Question

find the mean of this data set. 88, 95, 66, 74, 92, 86, 94

Explanation:

Step1: Calculate the sum of data

$$88 + 95+66 + 74+92+86+94$$
$$=(88 + 92)+(95 + 74)+(66 + 94)+86$$
$$=180+169+160+86$$
$$=349+160+86$$
$$=509+86$$
$$=595$$

Step2: Calculate the number of data

There are \(7\) numbers in the data set.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(\sum_{i = 1}^{n}x_{i}\) is the sum of data and \(n\) is the number of data.
So \(\bar{x}=\frac{595}{7}=85\)

Answer:

\(85\)