Question

Calculate the arithmetic mean from the following data.

X 5 10 15 20 25 30 35 40

F 5 7 9 10 8 6 5 2

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Answer 1

Answer:

x f fx

5 4 20

10 5 50

15 7 105

20 4 80

25 3 75

30 2 60

Total N=25 ∑fx=390

Arithmetic Mean, xˉ=N∑fx​

=25390​=15.6

Answer 2

Answer:

20.4807

Explanation:

x y. fx

5. 5. 25

10. 7. 70

15. 9. 135

20. 10. 200

25. 8. 200

30. 6. 180

35. 5. 175

40. 2. 80

n=52. Σfx=1065

arithmetic mean X̄ = Σfx/N

=1065/52

=20.4807