If l=125 , f1=20,f0=13,f2=14 and h=20 , then mode of the grouped data is​

If l=125 , f1=20,f0=13,f2=14 and h=20 , then mode of the grouped data is​

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  1. Given :

    • l = 125
    • f1 = 20
    • f0 = 13
    • f2 = 14
    • h = 20 .

    To Find :

    • Mode of grouped data ?

    Solution :

    we know that,

    • Mode = l + [(f1 – f0) / (2f1 – f0 – f2)] * h

    putting all given values we get,

    → Mode = 125 + [(20 – 13) / (2*20 – 13 – 14)] * 20

    → Mode = 125 + {7 / (40 – 27)} * 20

    → Mode = 125 + (7 * 20) / 13

    → Mode = 125 + (140/13)

    → Mode = (125*13 + 140)/13

    → Mode = (1625 + 140)/13

    → Mode = (1765/13)

    → Mode = 135.76 (Ans.)

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