Question

question
find the median and mean of the data set below:
32, 36, 29, 28, 19, 30
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Arrange data in ascending order

$19, 28, 29, 30, 32, 36$

Step2: Calculate the median

Since there are 6 data - points (an even number), the median is the average of the two middle - numbers. The two middle - numbers are the 3rd and 4th numbers. Median=$\frac{29 + 30}{2}=\frac{59}{2}=29.5$

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 6$ and $x_{i}$ are the data - points. $\bar{x}=\frac{19+28+29+30+32+36}{6}=\frac{174}{6}=29$

Answer:

Median = $29.5$
Mean = $29$