Find the mean and standard deviation using short-cut method.

x i

60

61

62

63

64

65

66

67

68

f i

2

1

12

29

25

12

10

4

5


The data is obtained in tabular form as follows.

xi

fi

yi2

fiyi

fiyi2

60

2

–4

16

–8

32

61

1

–3

9

–3

9

62

12

–2

4

–24

48

63

29

–1

1

–29

29

64

25

0

0

0

0

65

12

1

1

12

12

66

10

2

4

20

40

67

4

3

9

12

36

68

5

4

16

20

80

100

220

0

286

Mean,

  • 6
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