Question

below are iq scores from 30 randomly selected adults. { 60, 70, 79, 79, 81, 82, 83, 84, 91, 94, 95, 96, 99, 101, 101, 104, 104, 106, 107, 107, 108, 110, 111, 112, 114, 115, 118, 124, 124, 124 }. first, give the mean of the data set.

Explanation:

Step1: Recall mean formula

The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $n$ is the number of data points and $\sum_{i=1}^{n}x_i$ is the sum of the data points. Here, $n = 30$.

Step2: Calculate the sum of data points

$\sum_{i=1}^{30}x_i=60 + 70+79+79+81+82+83+84+91+94+95+96+99+101+101+104+104+106+107+107+108+110+111+112+114+115+118+124+124+124$
$=3030$.

Step3: Calculate the mean

$\bar{x}=\frac{\sum_{i = 1}^{30}x_i}{30}=\frac{3030}{30}=101$.

Answer:

101