#### Statistics Model Question Paper

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
5 x 1 = 5
1. The algebraic sum of the deviations of a set of n values from their mean is

(a)

0

(b)

n-1

(c)

n

(d)

n+1

2. The mean of a,b,c,d and e is 28.If the mean of a,c and e,is 24, then mean of b and d is

(a)

24

(b)

36

(c)

26

(d)

34

3. The mean of the first 10 prime number is

(a)

12.6

(b)

12.7

(c)

12.8

(d)

12.9

4. The mean of the first 10 whole number is

(a)

4

(b)

4.5

(c)

5

(d)

5.5

5. Find the mean of the prime factors of 165

(a)

5

(b)

11

(c)

13

(d)

55

6. 5 x 2 = 10
7. In a week, temperature of a certain place is measured during winter are as follows 260C,240C,280C,310C,260C.Find the mean temperatureof the week.

8. The mean weight of 4 members of a family is 60 kg. Three of them have the weight 56kg,68kg and 72 kg respectively. Find the weight of the fourth member.

9. In a class test in mathematics,10 students scored 75 marks,12 students scored 60 mark, 8 students scored 40 marks and 3 students scored 30 marks. Find the mean of their score.

10. In a research laboratory scientists treated 6 mice with lung cancer using medicine. Ten days, they measured the volume of the tumor of the tumor in each mouse given the results in the table

 Mouse marking 1 2 3 4 5 6 Tumor Volume(mm)3 145 148 142 141 139 140

Find the mean

11. Find the mode of the given data:3.1,3.2,3.3,2.1,1.3,3.3,3.1

12. 5 x 3 = 15
13. If the mean of the following data is 20.2, then find the value of p

 Marks 10 15 20 25 30 No.of students 6 8 p 10 6

14. Find the median of the given values:47,53,62,71,83,21,43,47,41

15. The median of observation 11,12,14,18,x+12,x+4,30,32,35,41 arrenged in ascending order is 24.Find the values of x.

16. A researcher studying the behaviour of mice has recorded the time (in seconds) taken by each mouse to locate its food by considering 13 different mice as 31,33,63,33,28,29,33,27,27,34,35,28,32.Find the median time that mice spent in searching its food.

17. For the data 11,15,17,x+1,19,x-2,3 if the mean is 14,find the value of x,Also find the mode of the data.

18. 4 x 5 = 20
19. Calculate the mean of the following distribution using Assumed Mean Method

 Class Interval 0-10 10-20 20-30 30-40 40-50 Frequency 5 7 15 28 8
20. The following are the scored by the students in the Summative Assessment exam

 Class 0-10 10-20 20-30 30-40 40-50 50-60 No.of students 2 7 15 10 11 5

21. The mean of five positive integers is twice their median.If four of the integers are 3,4,6,9 and median is 6, then find the fifth integer.

22. Find the mean,median and mode of the following distribution

 Weight (in kgs) 25-34 35-44 45-54 55-64 65-74 75-84 Number of students 4 8 10 14 8 6