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RD Chapter 32 Statistics Ex 32.5 Solutions

Question - 1 : -

Find the standarddeviation for the following distribution:

x:

4.5

14.5

24.5

34.5      

44.5

54.5

64.5

f:

1

5

12

22

17

9

4

Answer - 1 : -


= 100 [1.857 – 0.0987]

= 100 [1.7583]

Var (X) = 175.83

Question - 2 : -

Table below showsthe frequency f with which ‘x’ alpha particles were radiated from a diskette

x:

0

1

2

3

4

5

6

7

8

9

10

11

12

f:

51

203

383

525

532

408

273

139

43

27

10

4

2

Calculate the meanand variance.

Answer - 2 : -


Question - 3 : -

Find the mean, andstandard deviation for the following data:
(i)

Year render:

10

20

30

40

50

60

No. of persons (cumulative)

15

32

51

78

97

109

(ii)

Marks:

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

Frequency:

1

6

6

8

8

2

2

3

0

2

1

0

0

0

1

Answer - 3 : - (i)

(ii)

Question - 4 : -

Find the standarddeviation for the following data:

(i)

x:

3

8

13

18

23

f:

7

10

15

10

6

(ii)

x:

2

3

4

5

6

7

f:

4

9

16

14

11

6

Answer - 4 : -

(i)

(ii)

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