Question

find the median and mean of the data set below: 38, 24, 31, 24, 3, 33, 8 answer attempt 1 out of 2 median = mean =

Explanation:

Step1: Sort the data set

$3, 8, 24, 24, 31, 33, 38$

Step2: Find the median

Since there are 7 data - points (an odd number), the median is the middle value. The middle value is the 4th value when the data is sorted. So, the median is 24.

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 7$ and $x_{1}=3,x_{2}=8,x_{3}=24,x_{4}=24,x_{5}=31,x_{6}=33,x_{7}=38$.
$\sum_{i = 1}^{7}x_{i}=3 + 8+24 + 24+31+33+38=161$.
The mean $\bar{x}=\frac{161}{7}=23$.

Answer:

Median = 24
Mean = 23