Calculate the standard deviation of the following data:

Q. Calculate the standard deviation of the following data:

Marks 78-80 80-82 82-84 84-86 86-88 88-90
No. of students 3 15 26 23 9 4

 

Answer:

 

Below table represents the frequency distribution of data required for calculating the standard deviation.

Table: Frequency distribution of data

ClassInterval Midvalue X Frequency‘f’ d = x-832 Fd fd2
78-80 79 3 -2 -6 12
80-82 81 15 -1 -15 15
82-84 83 26 0 0 0
84-86 85 23 1 23 23
86-88 87 9 2 18 36
88-90 89 4 3 12 36
    80   32 122

Standard Deviation

 

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