Question

find the mean of the data set. 283 351 181 235 298 192 341 306 261 (1 point) 283 266 272 259

Explanation:

Step1: Sum up the data values

$$283 + 351+181 + 235+298 + 192+341 + 306+261$$
$$=(283+351)+(181 + 235)+(298 + 192)+(341 + 306)+261$$
$$=634+416+490+647+261$$
$$=(634 + 416)+(490+647)+261$$
$$=1050+1137+261$$
$$=1050+(1137 + 261)$$
$$=1050 + 1398$$
$$=2448$$

Step2: Count the number of data values

There are \(n = 9\) data values.

Step3: Calculate the mean

The mean formula is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=2448\) and \(n = 9\) into the formula: \(\bar{x}=\frac{2448}{9}=272\)

Answer:

272