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find the median and mean of the data set below: 23, 35, 47, 22, 32, 46,…

Question

find the median and mean of the data set below: 23, 35, 47, 22, 32, 46, 47 answer attempt 1 out of 2 median = mean =

Explanation:

Step1: Sort the data set

$22,23,32,35,46,47,47$

Step2: Find the median

Since there are 7 data - points (an odd number), the median is the middle value. The middle value is the 4th value when sorted. So, median = 35.

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.
$\sum_{i=1}^{7}x_{i}=22 + 23+32+35+46+47+47=252$
$n = 7$
$\bar{x}=\frac{252}{7}=36$

Answer:

Median = 35
Mean = 36