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Question

The marks scored by the students in a test are given below.
x4681012f73595
Find the standard deviation of their marks by assumed mean method.
  1. 5.22
  2. 3.91
  3. 2.87
  4. 4.48


Solution

The correct option is C 2.87
Let the assumed mean, A = 8
xifidi=xiAfidifidi247428112632612850001092183612542080n=29fidi=4fidi2=240

Standard Deviation

σ=fidi2N(fidiN)2 

=24029(429)2=694429×29

62.87

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