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. 100.3 part 2 of 6 next, give the median of the data set.

Explanation:

Step1: Calculate the mean

The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$. Here, $n = 30$.
$\sum_{i=1}^{30}x_i=60 + 70+79+79+81+82+83+84+91+94+95+96+99+101+101+104+104+106+107+107+108+110+111+112+114+115+118+124+124+124=3009$.
$\bar{x}=\frac{3009}{30}=100.3$.

Step2: Calculate the median

Since $n = 30$ (an even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data values.
First, the data is already in ascending order. $\frac{n}{2}=15$ and $\frac{n}{2}+1 = 16$.
The 15th value is $101$ and the 16th value is $104$.
Median$=\frac{101 + 104}{2}=\frac{205}{2}=102.5$.

Answer:

102.5