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Question

Which of the following is correct for the given data :-
1, 0, 2, 3, 5, 5, 6, 8, 10, 11, 12

A
Mean = mode = median
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B
Mean = 5
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C
Mean = mode
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D
Mode = median
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Solution

The correct option is D Mode = median
First arrange the data in ascending order
0, 1, 2, 3, 5, 5, 6, 8, 10, 11, 12

Mean = Sum of obsevationsNumber of observations

Mean = 0+1+2+3+5+5+6+8+10+11+12 11

Mean = 63 11=5.72

Here odd number of observations i.e. 11


Median = n + 12th observation
Median = 11 + 12th observation
= 6 th observation =5


Mode is the highest frequency observation, here i.e. 5.
Mode = Median = 5

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