Question

question
find the median and mean of the data set below:
47, 15, 6, 49, 45, 30
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Arrange data in ascending order

$6, 15, 30, 45, 47, 49$

Step2: Calculate the median

Since there are 6 (an even - numbered) data points, the median is the average of the two middle - values. The two middle values are the 3rd and 4th values. Median=$\frac{30 + 45}{2}=\frac{75}{2}=37.5$

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 6$ and $x_{1}=6,x_{2}=15,x_{3}=30,x_{4}=45,x_{5}=47,x_{6}=49$. $\sum_{i=1}^{6}x_{i}=6 + 15+30 + 45+47+49 = 192$. Mean=$\frac{192}{6}=32$

Answer:

Median = $37.5$
Mean = $32$