Question: 1. Table Showing Frequency Distribution for Marks for Statistics: Marks for Class X - X Statistics Boundaries Frequency Cumulative Frequency Midpoint (f) * (X) (1)

 1. Table Showing Frequency Distribution for Marks for Statistics: Marks for

Class X - X Statistics Boundaries Frequency Cumulative Frequency Midpoint (f) *

1. Table Showing Frequency Distribution for Marks for Statistics: Marks for Class X - X Statistics Boundaries Frequency Cumulative Frequency Midpoint (f) * (X) (1) + $2 Class 1 - 10 0.5 - 10.5 4 13 5.5 22 -39.36 1549.2096 11 - 20 10.5 - 20.5 9 22 15.5 139.5 -29.36 862.0096 21 - 30 20.5 - 30.5 24 46 25.5 612 -19.36 374.8096 31 - 40 30.5 - 40.5 15 61 35.5 532.5 -9.36 87.6096 41 - 50 40.5 - 50.5 23 84 45.5 1046.5 0.64 0.4096 51 - 60 50.5 - 60.5 20 104 55.5 1110 10.64 113.2096 61 - 70 60.5 - 70.5 12 116 65.5 786 20.64 426.0096 71 - 80 70.5 - 80.5 18 134 75.5 1359 30.64 938.8096 Total 125 5607.5 4352.08 2. Mean = (x) = E (f. x) = Where Ef= N = 125 Ef -5607.5 125 Mean (x) = 44.86 3. Calculate the Variance: Variance = _ (x - X)? -1 = 4352.08/125 - 1 = 4352.08/124 = 35.10 4. Calculate the Standard Deviation Standard Deviation = V [_(x - x)?-1] = V35.10 = 5.92 5. Compute the Coefficient of the Variant: Coefficient of variation = s/x *100 = 5.92/44.86*100

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