Question

consider the data set
8 3 3 3 2 7 8 5
find the average (mean):
find the median:
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Explanation:

Step1: Calculate sum of data

$8 + 3+3+3+2+7+8+5=39$

Step2: Calculate mean

There are 8 data - points. Mean $\bar{x}=\frac{39}{8}=4.875$

Step3: Arrange data in ascending order

$2,3,3,3,5,7,8,8$

Step4: Calculate median

Since there are 8 (an even number) data - points, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data points. Here, $n = 8$, $\frac{n}{2}=4$ and $\frac{n}{2}+1 = 5$. The 4th value is 3 and the 5th value is 5. Median $=\frac{3 + 5}{2}=4$

Answer:

Mean: $4.875$
Median: $4$