Question

find the mean, \\(\overline{x}\\), of the data.
251, 224, 237, 255, 268
\\(\overline{x} = ?\\)

Explanation:

Step1: Sum the data values

To find the mean, we first sum all the data points. The data points are 251, 224, 237, 255, and 268. So we calculate \(251 + 224 + 237 + 255 + 268\).
\(251+224 = 475\), \(475+237 = 712\), \(712+255 = 967\), \(967+268 = 1235\).

Step2: Divide by the number of data points

There are 5 data points. The formula for the mean \(\overline{X}\) is \(\overline{X}=\frac{\text{Sum of data points}}{\text{Number of data points}}\). So we divide the sum (1235) by 5.
\(\overline{X}=\frac{1235}{5}=247\).

Answer:

247