    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 and Mode = 82

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B

Mean = 86.25, Median = 82 and Mode = 98

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C

Mean = 87.25, Median = 81 and Mode= 87

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D

Mean= 87.25, Median = 87 and Mode = 82

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Solution

## The correct option is A Mean = 87.25, Median = 84.5 and Mode = 82 The Central tendency has three measures namely mean, median and mode. We know that, ⇒Mean =Sum of observationsNumber of observations Now, ⇒Mean =87+82+82+984 ⇒Mean=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 i.e. 82, 82, 87, 98. Median = (n2)th term +(n2+1)th term2 = 2nd term + 3rd term2 = 82 + 872 = 84.5 The mode is the most frequently occurring value in the observation table, which is equal to 82. Thus, mean = 87.25, median = 84.5 and mode = 82.  Suggest Corrections  0      Similar questions  Related Videos   Measures of Central Tendency
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