Find the median of the following data:

25, 34, 31, 23, 22, 26, 35, 29, 20, 32

26.5

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27.5

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Solution

The correct option is D
27.5

25,34,31,23,22,26,35,29,20,32

Arranging in ascending order,
20,22,23,25,26,29,31,32,34,35

Here n=10 which an even number.
$∴ Median= \frac{1}{2} [(\frac{n}{2}) t h term + (\frac{n}{2} + 1) t h term] = \frac{1}{2} [5 t h term + 6 t h term] = \frac{1}{2} (26 + 29) = \frac{1}{2} \times 55 = 27.5$

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Similar questions

15

25, 19, 17, 24, 23, 29, 31, 40, 19, 20, 22, 26, 17, 35, 21

32, 30, 28, 31, 22, 26, 27, 21

19

27, 36, 22, 31, 25, 26, 33, 24, 37, 32, 29, 28, 36, 35, 27, 26, 32, 35

28

30, 32, 24, 34. 26, 28, 30. 35, 33, 25

Marks	$11 - 15$	$16 - 20$	$21 - 25$	$26 - 30$	$31 - 35$	$36 - 40$
Frequency	$7$	$10$	$13$	$26$	$9$	$5$

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