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AnilSinghBora
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The following table shows the ages of the patients admitted in a hospital during a year: Q.1

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What is the best way to solve the problem of question of statistics of exercise 14.2 of class 10th math of question no.1, how i solve this problem in easy way The following table shows the ages of the patients admitted in a hospital during a year:

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  1. To find out the modal class, let us the consider the class interval with high frequency

    Here, the greatest frequency = 23, so the modal class = 35 – 45,

    l = 35,

    class width (h) = 10,

    fm = 23,

    f1 = 21 and f2 = 14

    The formula to find the mode is

    Mode = l+ [(fm-f1)/(2fm-f1-f2)]×h

    Substitute the values in the formula, we get

    Mode = 35+[(23-21)/(46-21-14)]×10

    Mode = 35+(20/11) = 35+1.8

    Mode = 36.8 year

    So the mode of the given data = 36.8 year

    Calculation of Mean:

    First find the midpoint using the formula, xi = (upper limit +lower limit)/2

    The mean formula is

    Mean = x̄ = ∑fixi /∑fi

    = 2830/80

    = 35.37 years

    Therefore, the mean of the given data = 35.37 years

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