The number of emails received on six consecutive days is 11, 9, 18, 18, 4 and 15, respectively. What are the median and the mode for these data?

18 and 11 respectively

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13 and 18 respectively

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13 and 12.5 respectively

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12.5 and 18 respectively

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Solution

The correct option is B 13 and 18 respectively
The given data set is arranged in the increasing order as : 4, 9, 11, 15, 18, 18

$M e d i u m o f t h e s e d a t a = \frac{(11 + 15)}{2} = 13$

Mode of these data = 18

As the 18 is having more frequency of occurrence.

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[2 \times (M e a n)] + M o d e - [3 \times (M e d i a n)]

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Frequency	$4$	$8$	$9$	$7$	$10$	$3$	$10$

18, 23, 9, 11, 26, 4, 14, 21

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