Question

find the median and mean of the data set below: 33, 28, 46, 41, 9, 14. median = mean =

Explanation:

Step1: Sort the data set

$9, 14, 28, 33, 41, 46$

Step2: Calculate the median

Since there are 6 (an even - numbered) data points, the median is the average of the 3rd and 4th ordered values. Median=$\frac{28 + 33}{2}=\frac{61}{2}=30.5$

Step3: Calculate the mean

Mean=$\frac{9+14 + 28+33+41+46}{6}=\frac{171}{6}=28.5$

Answer:

Median = 30.5
Mean = 28.5