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Find the Mean and Standard Deviation Using Short-cut Method.60 61 62 63 64 65 66 67 68 - CBSE (Arts) Class 11 - Mathematics

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Question

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

xi

60

61

62

63

64

65

66

67

68

fi

2

1

12

29

25

12

10

4

5

 

Solution

The data is obtained in tabular form as follows.

xi f i fi = `(X_i - 64)/1` 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

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Solution Find the Mean and Standard Deviation Using Short-cut Method.60 61 62 63 64 65 66 67 68 Concept: Variance and Standard Deviation - Shortcut Method to Find Variance and Standard Deviation.
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