Question

Find the mean of the following frequency table (Give the answer upto two decimal places).
Marks
Cumulative
Frequency
Less than 10
6
15
Less than 20
30
Less than 30
39
Less than 40
53
Less than 50
70
Less than 60​

Answer 1

Answer:

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Step-by-step explanation:

Compute the median for the following cumulative frequency distribution:

Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80 Less than 90 Less than 100

0 4 16 30 46 66 82 92 100

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ANSWER

We are given the cumulative frequency distribution. So, we first construct a frequency table from the given cumulative frequency distribution and then we will make necessary computation to compute median.

Class intervals Frequency (f) Cumulative frequency (c.f.)

20-30 4 4

30-40 12 16

40-50 14 30

50-60 16 46

60-70 20 66

70-80 16 82

80-90 10 92

90-100 8 100

N=∑f

i

=100

Here, N=∑f

i

=100∴

2

N

=50

We observe that the cumulative frequency just greater than

2

N

=50 is 66 and the corresponding class is 60−70.

So, 60−70 is the median class.

∴l=60,f=20,F=46 and h=10

Now,

Median =l+

f

2

N

−F

×h

⇒Median=60+

20

50−46

×10=62