Question

1. find the median and mean of the data set below: 47, 15, 6, 49, 45, 30

Explanation:

Step1: Sort the data set

$6, 15, 30, 45, 47, 49$

Step2: Calculate the median

Since there are 6 (an even - numbered) data points, the median is the average of the two middle numbers. The two middle numbers are the 3rd and 4th numbers. Median=$\frac{30 + 45}{2}=\frac{75}{2}=37.5$

Step3: Calculate the mean

The mean $\bar{x}=\frac{6 + 15+30 + 45+47+49}{6}=\frac{192}{6}=32$

Answer:

Median: $37.5$, Mean: $32$