# CBSE Class 9 Mathematics Statistics Worksheet Set A

## Statistics Worksheet for Class 9

Class 9 Statistics students should refer to the following printable worksheet in Pdf in standard 9. This test paper with questions and answers for Grade 9 Statistics will be very useful for exams and help you to score good marks

**1) The ratio of the sum of observations and the total number of observations is called:**

a. Mean

b. Median

c. Mode

d. Central tendency

**2) The mean of x+2, x+3, x+4 and x-2 is:**

a. (x+7)/4

b. (2x+7)/4

c. (3x+7)/4

d. (4x+7)/4

**3) The median of the data: 4, 6, 8, 9, 11 is**

a. 6

b. 8

c. 9

d. 11

**4) The median of the data: 155, 160, 145, 149, 150, 147, 152, 144, 148 is**

a. 149

b. 150

c. 147

d. 144

**5) The median of the data: 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 is:**

a. 10

b. 24

c. 12

d. 8

**6) The mode of the given data: 4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9 is;**

a. 7

b. 9

c. 10

d. 6

**7) The value which appears very frequently in a data is called:**

a. Mean

b. Median

c. Mode

d. Central tendency

**8) The collection of information, collected for a purpose is called:**

a. Mean

b. Median

c. Mode

d. Data

**9) The mean of the data 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 is**

a. 2

b. 2.2

c. 2.4

d. 2.8

**10) Which of the following is not a measure of central tendency?**

a. Standard deviation

b. Mean

c. Median

d. Mode

**11) Find the range of the following data: 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20.**

a. 10

b. 15

c. 18

d. 26

**12) What is the class mark of the class interval 90-120?**

a. 90

b. 105

c. 115

d. 120

**13) In the class intervals 10-20, 20-30, 20 is included in which interval?**

a. 10-20

b. 20-30

c. Both the intervals

d. None of the intervals

**14) Find the class width for the grouped frequency distribution of the class intervals 1-20, 21-40, 41-60, ..**

a. 10

b. 15

c. 17

d. 20

**15) The arithmetic mean of the first 5 natural numbers is**

a. 3

b. 4

c. 5

d. 6

**16) Find the value of x, if the arithmetic mean of 4, 5, 6, 7, 8 and x is 7.**

a. 4

b. 6

c. 8

d. 12

**17) Find the mode of the following data: 15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15.**

a. 14

b. 15

c. 16

d. 17

**18) If each data in the observation is increased by 5, then the mean **

a. Remains the same

b. Increased by 5

c. Decreased by 5

d. None of the above

**19) The difference between the maximum and minimum values of the given observation is called **

a. Class

b. Class interval

c. Classmark

d. Range

**20) Find the maximum value if the range is 38 and the minimum value is 82.**

a. 60

b. 76

c. 120

d. 82

Question 21.

The class mark of the class 90-130 is:

(a) 90

(b) 105

(c) 115

(d) 110

Question 22.

The range of the data:

25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is

(a) 10

(b) 75

(c) 85

(d) 26

Question 23.

In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The upper limit of the class is:

(a) 6

(b) 7

(c) 10

(d) 13

Question 24.

The width of each of five continuous classes in a frequency distribution is 5 and the lower class-limit of the lowest class is 10. The lower class-limit of the highest class is:

(a) 15

(b) 30

(c) 35

(d) 40

Question 25.

Let m be the mid-point and 1 be the lower class limit of a class in a continuous frequency distribution. The upper class limit of the class is:

(a) 2m + l

(b) 2m – l

(c) m – l

(d) m – 2l

Question 26.

The class marks of a frequency distribution are given as follows:

15, 20, 25, …

The class corresponding to the class mark 15 is:

(a) 12.5 – 17.5

(b) 17.5 – 22.5

(c) 18.5 – 21.5

(d) 19.5 – 20.5

Question 27.

In the class intervals 10-20, 20-30, the number 20 is included in:

(a) 10-20

(b) 20-30

(c) both the intervals

(d) none of these intervals

Question2 8.

A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class interval is constructed for the following data:

268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304,402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236.

The frequency of the class 370-390 is:

(a) 0

(b) 1

(c) 3

(d) 5

Question 29.

A grouped frequency distribution table with classes of equal sizes using 63-72 (72 included) as one of the class is constructed for the following data:

30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88, 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96, 102, 110, 88, 74, 112, 14, 34, 44.

The number of classes in the distribution will be:

(a) 9

(b) 10

(c) 11

(d) 12

Question 30.

To draw a histogram to represent the following frequency distribution:

the adjusted frequency for the class 25-45 is:

(a) 6

(b) 5

(c) 3

(d) 2

Question 31.

The mean of five numbers is 30. If one number is excluded, their mean becomes 28. the excluded number is:

(a) 28

(b) 30

(c) 35

(d) 38

Question 32.

If x¯ represents the mean of n observations x_{1}, x_{2}, …, x_{n}, then value of ∑ni=1(xi−x¯) is:

(a) -1

(b) 0

(c) 1

(d) n – 1

Question 33.

If each observation of the data is increased by 5, then their mean

(a) remains the same

(b) becomes 5 times the original mean

(c) is decreased by 5

(d) is increased by 5

Question 34.

Let x¯ be the mean of x_{1}, x_{2}, …, x_{n} and y the mean of y_{1}, y_{2}, …, y_{n}. If z is the mean of x_{1}, x_{2}, …. x_{n}, y_{1}, y_{2}, …, y_{n}, then z is equal to

(a) x¯+y¯

(b) x¯+y¯ / 2

(c) x¯+y¯ / n

(d) x¯+y¯ / 2n

Question 35.

If x¯ is the mean of x_{1}, x_{2}, …, x_{n}, then for a ≠ 0, the mean of ax_{1}, ax_{2}, …, ax_{n}, x1/a, x2/a, …….., xn/a is

Question 36.

If x1¯, x2¯, x3¯, …….., xn¯ are the means of n groups with n_{1}, n_{2}, ……. n_{n} number of observations respectively, then the mean x of all the groups taken together is given by:

Question 37.

The median of the data

78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is

(a) 45

(b) 49.5

(c) 54

(d) 56

Question 38.

For drawing a frequency polygon of a continuous frequency distribution, we plot the points whose ordinates are the frequencies of the respective classes and abscissae are respectively:

(a) upper limits of the classes

(b) lower limits of the classes

(c) class marks of the classes

(d) upper limits of preceding classes

Question 39.

Mode of the data

15, 14, 19, 20, 16, 15, 16, 14, 15, 18, 14, 19, 16, 17, 16 is

(a) 14

(b) 15

(c) 16

(d) 17

Question 40.

The mean of 25 observations is 26. Out of these observations if the mean of first 13 observations is 22 and that of the last 13 observations is 30, the 13th observation is:

(a) 23

(b) 26

(c) 28

(d) 30