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Calculator the arithmetic mean from the following frequency distribution:
Question

Calculator the arithmetic mean from the following frequency distribution:


A.

26

B.

25

C.

24

D.

More than one of the above

E.

None of the above

Correct option is A

Class Interval

Frequency (fi)

Class Mark (xi)

fi.xi

0-10

6

5

30

10-20

10

15

150

20-30

9

25

225

30-40

4

35

140

40-50

11

45

495

Summing up:
Σfi = 6 + 10 + 9 + 4 + 11 = 40
Σfi. xi = 30 + 150 + 225 + 140 + 495 = 1040

Arithmetic Mean (x̄) = Σfi .xi / Σfi = 1040 / 40 = 26

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