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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?
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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