Question

1. find the median and mean of the data set below: 26, 1, 30, 13

Explanation:

Step1: Sort the data set

$1, 13, 26, 30$

Step2: Calculate the median

Since there are 4 data - points (an even number of data - points), the median is the average of the two middle values. $\text{Median}=\frac{13 + 26}{2}=\frac{39}{2}=19.5$

Step3: Calculate the mean

The mean $\bar{x}=\frac{1+13 + 26+30}{4}=\frac{70}{4}=17.5$

Answer:

Median: $19.5$, Mean: $17.5$