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find the mean, $overline{x}$, of the data. 78, 45, 73, 66, 61, 67 $over…

Question

find the mean, $overline{x}$, of the data.
78, 45, 73, 66, 61, 67
$overline{x}=\square$

Explanation:

Step1: Calculate the sum of data

$$78 + 45+73 + 66+61 + 67=390$$

Step2: Calculate the number of data points

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

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=390\) and \(n = 6\) into the formula: \(\bar{x}=\frac{390}{6}=65\)

Answer:

\(65\)