Question 56

What is the mean of the range, median and mode of the data:
$$2, 3, 1, 1, 3, 4, 2, 1, 1, 4, 5, 2, 4, 2, 2, 1, 3, 3, 2, 5$$

Solution

Arranging them in the ascending order we have 
1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,5,5
Median=middle value i.e average of 2 and 2 i. e 2
Mode=highest frequency number i.e 2
Range=highest-least value=5-1=4
Average=(2+2+4)/3
=$$2\frac{2}{3}$$


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