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+1 vote
53.8k views
in Social Science by (40.5k points)
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The following table shows the weights (in gms) of a sample of 100 apples, taken from a large consignment :

Weight (in gms) 50-60 60-70 70-80 80-90 90-100 100-110 110-120 120-130
No. of Apples 8 10 12 16 18 14 12 10

Find the median weight of apples.

2 Answers

+1 vote
by (15.0k points)
selected by
 
Best answer

Marks

frequency (f)

Cumulative frequency (c.f.)

50-60

8

8

60-70

10

18

70-80

12

30

80-90

16

46

90-100

18

64

100-110

14

78

110-120

12

90

120-130

10

100

N = 100

⇒ Median = \(\frac N2\)th term

Median class = 90-100

Median = \(l + \left(\frac{\frac N2 - c.f.}f\right) \times h\)

\(= 9 + \left(\frac{50 - 46}{18}\right) \times 10\)

\(= 90 + \frac{40}{18}\)

\(= 92.2\)

The median weight of apple is 92.2 gm.

+2 votes
by (44.9k points)

Median class = 90 - 100

Median weight = 92.2 gm.

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