SOLUTION: The following data set is incomplete. 27, 29, 27, 25, 24, 27, 25, 29 Four identical values, all below 23 are missing. (i) Work out the median. (ii

Question 901004: The following data set is incomplete.
27, 29, 27, 25, 24, 27, 25, 29

Four identical values, all below 23 are missing.
(i) Work out the median.
(ii) Make a comment about the mode.
(iii) The mean of all 12 values is known to be 24.75.
What are the missing values ?

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

x, x, x, x, 24, 25, 25, 27, 27, 27, 29, 29

median = (25+25)/2 = 25 

Mode = 4 (unknown identical items)

(x + x + x + x + 24 + 25 + 25 + 27 + 27 + 27 + 29 + 29)/12 = 24.75

4x = 12*24.75 - (24 + 25 + 25 + 27 + 27 + 27 + 29 + 29)

x = 3*24.75 - (24 + 25 + 25 + 27 + 27 + 27 + 29 + 29) 

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