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question find the median and mean of the data set below: 38,32,27,14,31…

Question

question find the median and mean of the data set below: 38,32,27,14,31,50 answer attempt 1 out of 2 median = mean =

Explanation:

Step1: Sort the data set

$14,27,31,32,38,50$

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=$\frac{31 + 32}{2}=\frac{63}{2}=31.5$

Step3: Calculate the mean

The mean $\bar{x}=\frac{14 + 27+31+32+38+50}{6}=\frac{192}{6}=32$

Answer:

Median = $31.5$
Mean = $32$