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Dear Student,
Question 41) Arithmetic mean and standard deviation
variable | frequency | x | xf | f | ||
5-10 | 2 | 7.5 | 15 | -13.55 | 183.6 | 367.2 |
10-15 | 9 | 12.5 | 112.5 | -8.55 | 73.10 | 657.9 |
15-20 | 29 | 17.5 | 507.5 | -3.55 | 12.6 | 365.4 |
20-25 | 54 | 22.5 | 1215 | 1.45 | 2.10 | 113.4 |
25-30 | 11 | 27.5 | 302.5 | 6.45 | 41.6 | 457.6 |
30-35 | 5 | 32.5 | 162.5 | 11.45 | 131.10 | 655.5 |
TOTAL | 110 | 2315 | 2617 |
Arithmetic mean = = total of fx/ total of f
2315/110
= 21.08
standard deviation =
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