Question

question
find the median and mean of the data set below:
24, 39, 28, 30, 29, 18
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Sort the data set

$18,24,28,29,30,39$

Step2: Calculate the median

Since there are 6 data - points (an even number of data - points), the median is the average of the two middle numbers. The two middle numbers are the 3rd and 4th numbers. Median=$\frac{28 + 29}{2}=\frac{57}{2}=28.5$

Step3: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n$ is the number of data - points and $x_{i}$ are the individual data - points. Here, $n = 6$, and $\sum_{i=1}^{6}x_{i}=18 + 24+28 + 29+30+39=168$. Mean=$\frac{168}{6}=28$

Answer:

Median = $28.5$
Mean = $28$