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For Which Set of Numbers Do the Mean, Median and Mode All Have the Same Value? - Mathematics

MCQ

For which set of numbers do the mean, median and mode all have the same value?

Options

  • 2, 2, 2, 2, 4

  •  1, 3, 3, 3, 5

  • 1, 1, 2, 5, 6

  •  1, 1, 1, 2, 5

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Solution

For the data 2, 2, 2, 2, 4 of 5 numbers, we have

MEAN = `(2+2+2+2+4)/5`

`=12/5`

=2.4

`MEDIAN = ((5+1)/2)^(th) value`  

=3nd value

=2

Since, 2 occurs maximum number of times,MODE= 2

MEAN≠ MEDIAN

For the data 1, 3, 3, 3, 5 of 5 numbers, we have

`MEAN = (1+3+3+3+5)/5`

=`15/5`

=3

`MEDIAN = ((5+1)/2)^(th)` value

= 3nd value

= 3

Since, 3 occurs maximum number of times,MODE = 3

MEAN = MEDIAN =MODE

Hence, the correct choice is (b).

Note that if it happens that the result is not true for the second data then we must follow the same procedure for the other data’s.

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 24 Measures of Central Tendency
Q 5 | Page 22
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