Question

1. find the median and mean of the data set below: 37, 27, 1, 31, 27, 40, 47

Explanation:

Step1: Sort the data set

$1, 27, 27, 31, 37, 40, 47$

Step2: Find the median

Since there are 7 (odd) numbers, the median is the 4 - th number. So the median is 31.

Step3: Calculate the mean

The mean $\bar{x}=\frac{1 + 27+27+31+37+40+47}{7}=\frac{200}{7}\approx28.57$

Answer:

Median: 31; Mean: $\frac{200}{7}\approx28.57$