give any eight examples of standard deviation from individual series and discrete series
Question: Calculate standard deviation using the following data.
x  8  10  10  11  14  15  20  22  21  30 
Solution
x  Ax = 15 d= x – Ax  d^{2} 
8  –6  36 
10  –6  36 
10  –4  16 
11  –3  9 
14=A  0  0 
15  1  1 
20  6  36 
22  8  64 
21  7  49 
30  16  256 

Question: Calculate Standard Deviation for the following distribution.
Solution
x  Frequencies 
10  3 
20  6 
30  20 
40  12 
50  9 
Total  50 
x  Frequency  A = 30 d= X – A  fd'  d'^{2}  fd'^{2}  
10  3  – 20  – 2  – 6  4  12 
20  6  – 10  – 1  – 6  1  6 
30 = A  20  0  0  0  0  0 
40  12  10  1  12  1  12 
50  9  20  2  18  4  36 




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