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: Arrange data in ascending order

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

Step2: Calculate the median

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

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. $\sum_{i=1}^{6}x_{i}=18 + 24+28 + 30+29+39 = 168$. Mean=$\frac{168}{6}=28$

Answer:

Median = $28.5$
Mean = $28$