Question

Illustration 7 From the following data, compute the average marks of
students of 50 school in a city,
Marks obtained Number of schools Average number of students in a school
More than 35
7
200
30-35
10
250
25-30
15
300
20-25
9
200
15.20
5
150
Less than 15
4
100
Solutions First we rewrite the given data in ascending order.​

Answer 1

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Maths

Statistics

Median of Grouped Data

Calculate the median from t...

STATISTICS

Calculate the median from the following data:

Marks below: 10 20 30 40 50 60 70 80

No. of students 15 35 60 84 96 127 198 250

MEDIUM

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ANSWER

Marks (x) No. of students (f) C.F.

0-10 15 15

10-20 20 35

20-30 25 60

30-40 24 84

40-50 12 96

50-60 31 127

60-70 71 198

70-80 52 250

N = 250

As, N=250⇒

2

N

=

2

250

=125

As 127 is just greater than 125, therefore median class is 50−60.

Median=l+

f

2

N

+C

×h

Here, l=lower limit of median class =50

C=C.F. of the class preceding the median class =96

h= higher limit - lower limit =60−50=10

f= frequency of median class =31

∴median=50+

31

125−96

×10=50+9.35=

59.35

Explanation:

Answer will be 59.35