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

Answers ( )

    0
    2021-10-05T05:26:16+00:00

    Answer:

    if u think that my answer is correct then follow me and mark me as brainliest

    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

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