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Finding Median for Grouped Data When Class Intervals Are Given

Ram analysed ...

Question

Ram analysed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs Rs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. What is the sum (in lakhs) of the highest and the lowest salaries of vice presidents?

A

9

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B

10

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C

11

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D

12

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Solution

The correct option is A 9
2 Vice presidents earn 8 lakhs, and 1 earns 5 lakhs (mode is 8 and median is 5). So, sum of the salaries of the other two vice presidents should be 4 lakhs. Since 8 is the only mode, only posiible combination is 3 and 1 lakhs.
So the required sum will be 8+1= 9 Lakhs.

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Finding Median for Grouped Data When Class Intervals Are Given

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