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Question

Michael appeared in an examination and obtained the following marks out of 100.

NameMichaelPhysics87Chemistry82Biology82Mathematics98

Measure the central tendency of the above data.


A

Mean = 87.25, Median = 84.5, Mode = 82

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B

Mean = 86.25, Median = 82, Mode = 98

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C

Mean = 87.25, Median = 81, Mode= 87

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D

Mean= 87.25, Median = 87, Mode = 82

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Solution

The correct option is A

Mean = 87.25, Median = 84.5, Mode = 82


The Central tendency has three measures namely mean, median and mode.

Mean =87+82+82+984=87.25.

Since the number of observations is even, the median would be the average of the middle terms arranged in either ascending or descending order.

Median
= (n2)th term +(n2+1)th term2
= 87+822
= 84.5


The mode is the most frequently occurring value in the observation table, which is equal to 82.


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