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Chapter 14 exercises 14.1 7question solution …

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Chapter 14 exercises 14.1 7question solution using direct method

    • Posted by Subiksha Vijaya 5 years, 3 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 3 months ago

    7. To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

    Concentration of SO2 ( in ppm) Frequency
    0.00 – 0.04 4
    0.04 – 0.08 9
    0.08 – 0.12 9
    0.12 – 0.16 2
    0.16 – 0.20 4
    0.20 – 0.24 2

    Find the mean concentration of SO2 in the air.

    Solution:

    To find out the mean, first find the midpoint of the given frequencies as follows:

    Concentration of SO2 (in ppm) Frequency (fi) Mid-point (xi) fixi
    0.00-0.04 4 0.02 0.08
    0.04-0.08 9 0.06 0.54
    0.08-0.12 9 0.10 0.90
    0.12-0.16 2 0.14 0.28
    0.16-0.20 4 0.18 0.72
    0.20-0.24 2 0.20 0.40
    Total Sum fi = 30   Sum (fixi) = 2.96

    The formula to find out the mean is

    Mean = x̄ = ∑fixi /∑fi

    = 2.96/30

    = 0.099 ppm

    Therefore, the mean concentration of SO2 in air is 0.099 ppm.

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