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Question

Find the mean and variance for the data

xi

6

10

14

18

24

28

30

f i

2

4

7

12

8

4

3


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Solution

The data is obtained in tabular form as follows.

xi

f i

fixi

6

2

12

–13

169

338

10

4

40

–9

81

324

14

7

98

–5

25

175

18

12

216

–1

1

12

24

8

192

5

25

200

28

4

112

9

81

324

30

3

90

11

121

363

40

760

1736

Here, N = 40,


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