Question

Find the median of the following data:
(a) 19, 32, 37, 42, 8, 10, 63, 39, 91. If 19 is replaced by 90, find new median.
(b) 7, 300, 312, 420, 73, 103, 6, 109, 292. If 109 is replaced by 64, find new median.
(c) 15, 10, 28, 47, 18, 13, 53. If 47 is replaced by 67, find new median.
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Answer 1

(a)

fi

08

10

32

37

39

42

63

90

91

Median=

$\frac{n + 1}{2}$

$\frac{9 + 1}{2 }$

$\frac{10}{2}$

=→ 5th term.

(That means the median is 39 )

(b)

fi

6

7

64

73

103

292

300

312

420

Median=

$\frac{n + 1}{2}$

$\frac{9 + 1}{2}$

$\frac{10 }{2}$

=→ 5th term.

(That means the median is 103)

I hope this will help you friend.