## 3. The following frequency distribution gives the monthly consumption of ele of 68 consumers of a locality. Find the median and mean of

Question

3. The following frequency distribution gives the monthly consumption of ele
of 68 consumers of a locality. Find the median and mean of the data, and
them.​

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3 weeks 2021-10-05T05:24:52+00:00 1 Answer 0 views 0

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Step-by-step explanation:

c.f

65−85 75 4 300 4

85−105 95 5 475 9

105−125 115 13 1495 22

125−145 135 20 2700 42

145−165 155 14 2170 56

165−185 175 8 1400 64

185−205 195 4 780 68

∑f

i

=68 ∑f

i

x

i

=9320

⇒ Mean=

∑f

i

∑f

i

x

i

=

68

9320

=137.05

Now, n=68 and

2

n

=34

∴ Median class =125−145

We have, l=125,c.f=22,f=20 and h=20

⇒ Median=l+

f

2

n

−c.f

×h

=125+

20

34−22

×20

=125+12

∴ Median=137

Now, modal class =125−145

Then we have l=125,f

0

=13,f

1

=20,f

2

=14 and h=20

⇒ Mode=l+

2f

1

−f

0

−f

2

f

1

−f

0

×h

=125+

2×20−13−14

20−13

×20

=125+10.77

∴ Mode=135.77