Question

find the mean, (overline{x}), of the data.
56, 52, 46, 49, 57, 64
(overline{x} = )

Explanation:

Step1: Sum the data values

$$56 + 52+46 + 49+57+64$$
$$=(56 + 52)+(46 + 49)+(57 + 64)$$
$$=108+95 + 121$$
$$=108+(95 + 121)$$
$$=108 + 216$$
$$=324$$

Step2: Count the number of data values

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

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=324\) and \(n = 6\) into the formula:
\(\bar{x}=\frac{324}{6}=54\)

Answer:

\(54\)