Statistics Model Question Paper

9th Standard

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Maths

Time : 01:30:00 Hrs
Total Marks : 50
6 x 1 = 6
1. Data available in an unorganized form is called ------------- data

(a)

Grouped data

(b)

class interval

(c)

mode

(d)

raw data

2. A particular observation which occurs maximum number of times in a given data is called its

(a)

Frequency

(b)

range

(c)

mode

(d)

Median.

3. 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

4. The mean of 5, 9, x, 17, and 21 is 13, then find the value of x

(a)

9

(b)

13

(c)

17

(d)

21

5. The mean of a set of numbers is $\bar X$. If each number is multiplied by z, the mean is

(a)

$\bar X + z$

(b)

$\bar X-z$

(c)

z$\bar X$

(d)

$\bar X$

6. A particular observation which occurs maximum number of times in a given data is called is

(a)

Frequency

(b)

range

(c)

mode

(d)

median

7. 5 x 2 = 10
8. Find the mode for the set of values 17, 18, 20, 20, 21, 21, 22, 22.

9. A set of numbers consists of five 4’s, four 5’s, nine 6’s,and six 9’s. What is the mode.

10. 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.

11. 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

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

13. 8 x 3 = 24
14. The following data gives the number of residents in an area based on their age. Find the average age of the residents

 Age Number of Residents 0-10 10-20 20-30 30-40 40-50 50-60 2 6 9 7 4 2
15. Find the sum of the deviations from the arithmetic mean for the following observations:
21, 30, 22, 16, 24, 28, 18, 17

16. The average mark of 25 students was found to be 78.4. Later on, it was found that score of 96 was misread as 69. Find the correct mean of the marks

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

18. If the mean of the following data is 20.2, then find the value of p

 Marks No. of students 10 15 20 25 30 6 8 p 10 6
19. For the following ungrouped data 10, 17, 16, 21, 13, 18, 12, 10, 19, 22. Find the median.

20. The monthly salary of 10 employees in a factory are given below :
Rs.5000, Rs.7000, Rs.5000, Rs.7000, Rs.8000, Rs.7000, Rs.7000, Rs.8000, Rs.7000, Rs.5000
Find the mean, median and mode

21. Find the mean, median and mode of the following distribution:

 Weight(in kgs) Number of students 25-34 35-44 45-54 55-64 65-74 75-84 4 8 10 14 8 6
22. 2 x 5 = 10
23. Calculate the median for the following data:

 Height (cm) No. of Students 160 150 152 161 156 154 155 12 8 4 4 3 3 7
24. Find the mode for the following data

 Marks No. of students 1-5 6-10 11-15 16-20 21-25 7 10 16 32 24