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Question
A, B, C are three sets of values of x:
(a) A: 2, 3, 7, 1, 3, 2, 3
(b) 7, 5, 9, 12, 5, 3, 8
(c) 4, 4, 11, 7, 2, 3, 4
Which one of the following statements is correct?
Options
Mean of A = Mode of C
Mean of C = Median of B
Median of B = Mode of A
Mean, Median and Mode of A are equal.
Solution
For the data A: 2, 3, 7, 1, 3, 2, 3 of 7 numbers, we have
MEAN = `(2+3+7+1+3+2+3)/7`
`=21/7`
=3
Arranging the data A in ascending order, we have
A: 1, 2, 2, 3, 3, 3, 7
MEDIAN = `((7+1)/2)^(th)` value
=4th value
= 3
Since, 3 occurs maximum number of times, MODE = 3
MEAN = MEDIAN = MODE
Notes
Note that if it happens that the result is not found in the first step then we must follow the same procedure for the other data’s.
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