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AnilSinghBora
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The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures Q.4

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How i solve the problem of question no. 4  of statistics chapter of class 10th ncert of exercise 14.2, give me the solution of this question because it is very important for class 10th, The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures

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  1. Given data:

    Modal class = 30 – 35,

    l = 30,

    Class width (h) = 5,

    fm = 10, f1 = 9 and f2 = 3

    Mode Formula:

    Mode = l+ [(fm-f1)/(2fm-f1-f2)]×h

    Substitute the values in the given formula

    Mode = 30+((10-9)/(20-9-3))×5

    Mode = 30+(5/8) = 30+0.625

    Mode = 30.625

    Therefore, the mode of the given data = 30.625

    Calculation of mean:

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

    Mean = x̄ = ∑fixi /∑fi

    = 1022.5/35

    = 29.2

    Therefore, mean = 29.2

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