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Question -

Find the mean and variance for the data 

xi

92

93

97

98

102

104

109

fi

3

2

3

2

6

3

3



Answer -

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

Xi

fi

fixi

Deviations from mean

(xi – x̅)

(xi – x̅)2

fi(xi – x̅)2

92

3

276

92 – 100 = -8

64

192

93

2

186

93 – 100 = -7

49

98

97

3

291

97 – 100 = -3

9

27

98

2

196

98 – 100 = -2

4

8

102

6

612

102 – 100 = 2

4

24

104

3

312

104 – 100 = 4

16

48

109

3

327

109 – 100 = 9

81

243

N = 22

2200

640

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