Question Bank - Mathematics

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What is the mean of the median, range, and mode of the observations3, 9, 11, 16, 19, 12, 18, 30, 19, 25?

A.
21
B.
23
C.
22
D.
25

Solution:

Given:3, 9, 11, 16, 19, 12, 18, 30, 19, 25Concept:Mode = Most repeated term of a dataThe range of the data is the difference between the largest value and the smallest value.If the total number of observation(n) is an odd number,Median = ((n + 1)/2)th termIf the total number of observations(n) is an even number,Median = ((n/2)th term + ((n/2) + 1)th term)/2Mean = (Mean + Range + Median)/3Calculations:Arranging the given terms in Ascending order,3, 9, 11, 12, 16, 18, 19, 19, 25, 30Most repeated term = 19 (2 times)? Mode = 19Number of terms = 10Median = ((10/2)th term + ((10/2) + 1)th term)/2? Median = (5th term + 6th term)/2? Median = (16 + 18)/2 = 17? Range = (30 - 3) = 27? Mean of the mode, median and range = ( 19 + 17 + 27)/3 = 63/3 = 21Mean of the mode, median and range = 21

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