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Find the Mean and Variance for the Following Frequency Distribution. 0-10 10-20 20-30 30-40 40-50 - Mathematics

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ConceptVariance and Standard Deviation Standard Deviation of a Discrete Frequency Distribution

Question

Find the mean and variance for the following frequency distribution.

Classes

0-10

10-20

20-30

30-40

40-50

Frequencies

5

8

15

16

6

Solution

Class

Frequency

fi

Mid-point xi y_i - (X_i - 25)/10 yi2 fiyi fiyi2

0-10

5

5

–2

4

–10

20

10-20

8

15

–1

1

–8

8

20-30

15

25

0

0

0

0

30-40

16

35

1

1

16

16

40-50

6

45

2

4

12

24

 

50

     

10

68

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Solution Find the Mean and Variance for the Following Frequency Distribution. 0-10 10-20 20-30 30-40 40-50 Concept: Variance and Standard Deviation - Standard Deviation of a Discrete Frequency Distribution.
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