question find the median and mean of the data set below: 7,47,43,47,25,16,18 answer attempt 1 out of 2…

question find the median and mean of the data set below: 7,47,43,47,25,16,18 answer attempt 1 out of 2 median = mean =

question find the median and mean of the data set below: 7,47,43,47,25,16,18 answer attempt 1 out of 2 median = mean =

Answer

Explanation:

Step1: Arrange data in ascending order

$7, 16, 18, 25, 43, 47, 47$

Step2: Calculate the median

There are 7 data - points. The median is the middle - value. For $n = 7$ (odd number of data - points), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{7+1}{2}=4$ - th value. So, median $= 25$.

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. $\sum_{i=1}^{7}x_{i}=7 + 16+18 + 25+43+47+47=203$, and $n = 7$. So, mean $=\frac{203}{7}=29$.

Answer:

Median = 25 Mean = 29