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 | d2 |
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 |
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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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