find th median for the given frequency distribution: class40_45 frequency2 45_50 3 50_55 8 55_60 6 60_65 6 65_70 3 70_75 2

Question

find th median for the given frequency distribution: class40_45 frequency2 45_50 3 50_55 8 55_60 6 60_65 6 65_70 3 70_75 2

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Peyton 2 weeks 2021-10-01T21:24:37+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-01T21:25:46+00:00

    Step-by-step explanation:

    Median = 56.67 or approx 57.

    Step-by-step explanation:

    We are given the following frequency distribution below;

    Classes Frequency (f) Cumulative frequency (cf)

    40 – 45 2 2

    45 – 50 3 5

    50 – 55 8 13

    55 – 60 6 19

    60 – 65 6 25

    65 – 70 3 28

    70 – 75 2 30

    \sum f∑f = 30

    Firstly, we will calculate \frac{N}{2}

    2

    N

    , (where N = ∑f), \frac{N}{2}

    2

    N

    = \frac{30}{2}

    2

    30

    = 15.

    So, the value of cumulative frequency just greater than or equal to 15 is 19.

    Therefore, median class is 55 – 60 .

    Now, Median formula = x_L + \frac{\frac{N}{2} -cf}{f_m} \times cx

    L

    +

    f

    m

    2

    N

    −cf

    ×c

    where, x_Lx

    L

    = lower limit of median class = 55

    N = \sum f∑f = 30

    f_mf

    m

    = frequency of median class = 6

    cf = cumulative frequency just above the median class = 13

    c = width of class interval = 5

    So, Median = 55 + \frac{\frac{30}{2} -13}{6} \times 555+

    6

    2

    30

    −13

    ×5

    = 55+\frac{10}{6}55+

    6

    10

    = 55 + 1.67 = 56.67 or close to 57

    Therefore, Median of given distribution is approx 57 .

    0
    2021-10-01T21:25:51+00:00

    Answer:

    70+78×7=889 ki and we hope you’re feeling

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