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question. find the median and mean of the data set below: 40, 4, 12, 15…

Question

question. find the median and mean of the data set below: 40, 4, 12, 15, 45, 16. median = . mean = . answer. attempt 1 out of 2

Explanation:

Step1: Arrange data in ascending order

$4, 12, 15, 16, 40, 45$

Step2: Calculate the median

Since there are 6 (an even - numbered) data points, the median is the average of the 3rd and 4th ordered values. Median=$\frac{15 + 16}{2}=\frac{31}{2}=15.5$

Step3: Calculate the mean

The mean $\bar{x}=\frac{4 + 12+15 + 16+40+45}{6}=\frac{132}{6}=22$

Answer:

Median = $15.5$
Mean = $22$