Question

find the mean for the following group of data items. 85, 82, 84, 77, 82, 88 the mean is. (type an integer or a decimal.)

Explanation:

Step1: Sum the data items

$$85 + 82+84 + 77+82+88$$
$$=(85 + 77)+(82+82)+(84 + 88)$$
$$=162+164+172$$
$$=500$$

Step2: Count the number of data items

There are \(n = 6\) data items.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=500\) and \(n = 6\) into the formula: \(\bar{x}=\frac{500}{6}\approx83.3\)

Answer:

\(83.3\)