Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question find the median and mean of the data set below: 38, 45, 12, 27…

Question

question
find the median and mean of the data set below:
38, 45, 12, 27, 21, 43
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Sort the data set

$12, 21, 27, 38, 43, 45$

Step2: Calculate the median

Since there are 6 data - points (an even number), the median is the average of the two middle numbers. The two middle numbers are the 3rd and 4th numbers. Median=$\frac{27 + 38}{2}=\frac{65}{2}=32.5$

Step3: Calculate the mean

Mean=$\frac{12 + 21+27 + 38+43+45}{6}=\frac{186}{6}=31$

Answer:

Median = $32.5$, Mean = $31$