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RD Chapter 7 Statistics Ex 7.1 Solutions

Question - 1 : - Calculate the mean for the following distribution :

X

5

6

7

8

9

f

4

8

14

11

3

Answer - 1 : -


Question - 2 : - Find the mean of the following data:

X

19

21

23

25

27

29

31

f

13

15

16

18

16

15

13

Answer - 2 : -


Question - 3 : -

If the mean of the following data is 20.6. Find the value of p. (C.B.S.E.1997)

X

10

15

p

25

35

y

3

10

25

7

5

Answer - 3 : -


Question - 4 : - If the mean of the following data is 15, find p. (C.B.S.E. 1992C)

X

5

10

15

20

25

f

6

P

6

10

5

Answer - 4 : -


Question - 5 : - Find the value of p for the following distribution whose mean is 16.6.

X

8

12

15

P

20

25

30

f

12

16

20

24

16

8

4

Answer - 5 : -


Question - 6 : - Find the missing value of p for the following distribution whose mean is 12.58. (C.B.S.E. 1992C)

X

5

8

10

12

P

20

25

f

2

5

8

22

7

4

2

Answer - 6 : -


Question - 7 : - Find the missing frequency (p) for the following distribution whose mean is 7.68.

X

3

5

7

9

11

13

f

6

8

15

P

8

4

Answer - 7 : -


Question - 8 : - The following table gives the number of boys of a particular age in a class of 40 students. Calculate the mean age of the students

Age (in years)

15

16

17

18

19

20

No. of students

3

8

10

10

5

4

Answer - 8 : -


Question - 9 : - Candidates of four schools appear in a mathematics test. The data were as follows :

Schools

No. of Candidates

Average Score

I

60

75

II

48

80

III

Not available

55

IV

40

50
Ifthe average score of the candidates of all the four schools is 66, find thenumber of candidates that appeared from school III.

Answer - 9 : -


Question - 10 : - Five coins were simultaneously tossed 1000 times and at each toss the number of heads were observed. The number of tosses during which 0, 1, 2, 3, 4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss.

No. of heads per toss

No. of tosses

0

38

1

144

2

342

3

287

4

164

5

25

Total

1000

Answer - 10 : -


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