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Question -

Find the mean and variance for the following frequency distributions in Exercises 7 and 8.

Classes

0 – 10

10 – 20

20 – 30

30 – 40

40 –50

Frequencies

5

8

15

16

6



Answer -

Let us make the tableof the given data and append other columns after calculations.

Classes

Frequency fi

Mid – points

xi

fixi

(xi – x̅)

(xi – x̅)2

fi(xi – x̅)2

0 – 10

5

5

25

-22

484

2420

10 – 20

8

15

120

-12

144

1152

20 – 30

15

25

375

-2

4

60

30 – 40

16

35

560

8

64

1024

40 –50

6

45

270

18

324

1944

N = 50

1350

6600

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