CBSE Class 9 Maths Statistics MCQs

Refer to CBSE Class 9 Maths Statistics MCQs provided below. CBSE Class 9 Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Class 9 Mathematics with answers have been prepared as per the latest syllabus, CBSE books and examination pattern suggested in Class 9 by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 14 Statistics are an important part of exams for Class 9 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 9 Mathematics and also download more latest study material for all subjects

MCQ for Class 9 Mathematics Chapter 14 Statistics

Class 9 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 14 Statistics in Class 9. These MCQ questions with answers for Class 9 Mathematics will come in exams and help you to score good marks

Chapter 14 Statistics MCQ Questions Class 9 Mathematics with Answers

Question: The mean of 10 observation is 25. If one observation, namely 25, is deleted, the new mean is
a) 25
b) 28
c) 20
d) 22

Answer: 25

Question: Mean of the set of observations is the value which
a) is a representative of whole group
b) occurs most frequently
c) divides observations into two equal parts
d) is the sum of observations

Answer: is a representative of whole group

Question: If each entry of a data is increased by 5, then the arithmetic mean
a) increases by 5
b) none of the foregoing
c) remains the same
d) decreases by 5

Answer: increases by 5

Question: The arithmetic mean of five given numbers is 85. Their sum is
a) 425
b) 85
c) more than 425
d) between 85 and 425

Answer: 425

Question: The daily earnings (in rupees) of 10 workers in a factory are 8, 16, 19, 8, 16, 19, 16, 8, 19, 19. The median wage is
a) Rs. 16.00
b) Rs. 8.00
c) Rs. 17.50
d) Rs. 19.00

Answer: Rs. 16.00

Question: The average weight of sample of 10 apples is 52 g. Later it was found that the weighing machine had shown the weight of each apple 10 g less. The correct average weight of an apple is
a) 62 g
b) 56 g
c) 54g
d) 52 g

Answer: 62 g

Question: The mean of 6, y, 7, x and 14 is 8. Then
a) x + y = 13
b) 2x + 3y = 13
c) x – y = 13
d) None of these

Answer: x + y = 13

Question: The mean of 994, 996, 998, 1000 and 1002 is
a) 998
b) 992
c) 1004
d) none

Answer: 998

Question: The mode of a set of observations is the value whicha) oc
curs most frequently
b) is between maximum and minimum
c) is central
d) none of the foregoing

Answer: occurs most frequently

Question: The arithmetic mean for the following frequency distribution is

a) 26.5
b) 43.8
c) 42.3
d) 29.5

Answer: 26.5

Question: The arithmetic mean of first five natural numbers is
a) 3
b) 5
c) 4
d) 6

Answer: 3

Question: If the arithmetic mean of 6, 8, 5, 7, x and 4 is 7, then x is
a) 12
b) 8
c) 6
d) 4

Answer: 12

Question: The arithmetic mean of first ten natural numbers is
a) 5.5
b) 7.5
c) 6
d) 10

Answer: 5.5

Question: The weight (in kg) of 5 men are 62, 65, 69, 66 and 61. The median is
a) 65 kg
b) 45 kg
c) 55 kg
d) 66 kg

Answer: 65 kg

Question: Class mark and class size of the class interval are 25 and 10 respectively then the class interval is
(a) 20 – 30
(b) 30 – 40
(c) 40 – 50
(d) 50 – 60

Question: Class mark of the 1st class interval is 5 and there are five classes. If the class size is 10 then the last class interval is
(a) 20 – 30
(b) 30 – 40
(c) 40 – 50
(d) 50 – 60

Question: The median of the following data is

class_9_maths_MCQs_4aa

(a) 10
(b) 15
(c) 25
(d) 30

Question: The mode in the above frequency distribution table is
(a) 10
(b) 15
(c) 25
(d) 30

Question: The mean of the following data is 

class_9_maths_MCQs_4a

(a) 15
(b) 16
(c) 17
(d) none of these

Question: The median of first ten prime numbers is
(a) 11
(b) 12
(c) 13
(d) none of these.

Question: The mean of first ten multiples of 5 is
(a) 45
(b) 55
(c) 65
(d) none of these.

Question: The mean of first ten multiples of 2 is
(a) 11
(b) 12
(c) 13
(d) none of these.

Question: The median of first ten multiples of 3 is
(a) 15
(b) 16
(c) 16.5
(d) none of these.

Question: The median of the following data is

class_9_maths_MCQs_4b

(a) 20
(b) 30
(c) 40
(d) none of these

Question: The median of the following data is 25 72 28 65 29 60 30 54 32 53 33 52 35 51 42 48 45 47 46 33
(a) 45
(b) 45.5
(c) 46
(d) none of these

Question: Calculate the median income from the following data: 

class_9_maths_MCQs_4c

(a) 20
(b) 30
(c) 40
(d) none of these

 

Question. Class mark of class 150 – 160 is
(a) 150
(b) 160
(c) 155
(d) none of these.

Question. Average of numbers: 10, 8, 9, 7, 8 is
(a) 8.4
(b) 7.4
(c) 4.8
(d) 8.2.

Question. Mean of first 10 natural numbers is
(a) 6.5
(b) 5.5
(c) 7.5
(d) 8.5.

Question. The heights (in cm) of 9 students of a class are as follows: 
155, 160, 145, 149, 150, 147, 152, 144, 148
 Find the median of this data.
(a) 150
(b) 147
(c) 149
(d) 148

Question. The points scored by a Kabaddi team in a series of matches are as follows 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 Find the median of the points scored by the team.
(a) 12
(b) 15
(c) 24
(d) 28

Question. Find the mode of the following marks (out of 10) obtained by 20 students: 4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9
(a) 4
(b) 7
(c) 10
(d) 9

Question. 5 people were asked about the time in a week they spend in doing social work in their community. They said 10, 7, 13, 20 and 15 hours, respectively. Find the mean (or average) time in a week devoted by them for social work.
(a) 12
(b) 13
(c) 14
(d) none of these.

Question. The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class limit of the lowest class is 10. The upper class limit of the highest class is:
(a) 35
(b) 15
(c) 25
(d) 40

Question. Let m be the midpoint and ‘l’ the upper class limit of a class in a continuous frequency distribution. The lower class limit of the class is
(a) 2m + l
(b) 2m – l
(c) m - l
(d) m – 2l

Question. The class marks of a frequency distribution are given as follows: 15, 20,25, …… The class corresponding to the class mark 20 is
(a) 12.5 – 17.5
(b) 17.5 – 22.5
(c) 22.5 – 27.5
(d) 27.5 – 32.5

Question. In the class intervals 10 – 20, 20 – 30, the cumber 20 is included in.
(a) 10 – 20
(b) 20 – 30
(c) both the interval
(d) none of these intervals

Question. The mean of 5 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. Class mark of class 150 – 160 is
(a) 150
(b) 160
(c) 155
(d) none of these.

Question. A grouped frequency distribution table with class intervals of equal sizes using 250 – 270 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 310 – 330 is

(a) 4
(b) 5
(c) 6
(d) 7.

Question. To draw a histogram to represent the following frequency distribution: the adjusted frequency for the class interval 25 – 45 is

CBSE Class 9 Maths Statistics MCQs Set C

(a) 6
(b) 5
(c) 2
(d) 3

CBSE Class 9 Maths Statistics MCQs Set C-

Question. 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. There are 50 numbers. Each number s subtracted from 53 and the mean of the number so obtained is found to be 3.5. The mean of the given number is
(a) 46.5
(b) 49.5
(c) 53.5
(d) 56.5.

Question. The mean of 25 observations is 36. Out of these observations if the men of first 13 observations is 32 and that of the last 13 observations is 40, the 13th observation is
(a) 23
(b) 36
(c) 38
(d) 40.

Question. 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. For drawing a frequency polygon of a continuous frequency distribution, we plot the points whose ordinates are the frequency of the respective classes and abscissa re 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.

More Questions.........................

Question: If in a data, 10 numbers arranged in increasing order. If the 7th entry is increased by 4, then the median increases by

a) zero

b) 6

c) 4

d) 5

Answer: zero

 

Question: The mean of x, x + 3, x + 6, x + 9 and x + 12 is

a) x + 3

b) x + 12

c) x + 6

d) x + 9

Answer: x + 3

 

Question: 20 years ago, when my parents got married, their average age was 23 years, now the average age of my family, consisting of myself and my parents only is 35 years. My present age is

a) 16 years

b) 42 years

c) 34 years

d) 24 years

Answer: 16 years

 

Question: The daily sale of kerosene (in liters) in a ration shop for six days is as follows: 75, 120, 12, 50, 70.5 and 140.5. The average daily sale is

a) 78

b) 10

c) 150

d) 142

Answer: 78

 

Question: The mean of five numbers is 27. If one of the numbers is excluded the mean gets reduced by 2. The excluded numbers is

a) 35

b) 25

c) 27

d) 40

Answer: 35

 

Question: The median of the following data: 46, 64, 87, 41, 58, 77, 35, 90, 55, 33, 92 is

a) 58

b) 87

c) 77

d) 60.2

Answer: 58

 

Question: Of three numbers, the first is twice the second and thrice the third, the average of all the three numbers is 88, then the smallest number as

a) 48

b) 72

c) 46

d) 52

Answer: 48

 

Question: The average age of m boys is ‘b’ years and ‘n’ girls is ‘c’ years. Find the average age of all together

a) mb+nc/m+n

b) mb+nc/m−n

c) mb−nc/m+n

d) None of these

Answer: mb+nc/m+n

 

Question:

a)

b)

c)

d)

Answer:

 

Question: Rohit goes from a place to another and returns by the same route. He pedals his way uniformly with speed u while going amnd with speed v while returning. The average speed of his journey is

a)

b)

c) u + v/2

d) None of these

Answer:

 

Question: In class of 100 students the mean marks obtained in a subject is 30 and in another class of 50 students the mean marks obtained in the same subject is 60. The mean marks obtained by the students of two classes taken together is

a) 40

b) 60

c) 60

d) 35

Answer: 40

 

Question: A man lands Rs. 1200 in four sums. If he gets 5% for Rs. 300, 6% for Rs. 350 and 6.5% for Rs. 400. What average interest is 6.5%?

a) 33/3%

b) 6%

c) 31%

d) None of these

Answer: 33/3%

 

Question: The average noon temperature for monday, tuesday and wednesday was 53° and for tuesday, wednesday and thursday it was 56°. If the noon temperature on thursday was 60°. Find the noon temperature on monday

a) 51°

b) 53°

c) 57°

d) 56°

Answer: 51°

 

Question: One third of a centain journey was covered at a rate of 25 km/h one-fourth at the rate of 30 km/h and the rest at the rate of 50 km/h. Find the average speed per hour for the whole journey?

a)

b) 33 km/h

c)

d) None of these

Answer:

 

class_9_maths_MCQs_3

class_9_maths_MCQs_3a

class_9_maths_MCQs_3b

Collection and tabulation of date

1. The word data means information in the form of numerical figures or a set of given information

2. Data obtained in the original form is called a raw data.

3. Arranging the numerical figures of a data in ascending or descending order is called an array.

4. Arranging the data in a systematic tabular form is called tabulation or presentation of the data.

5. Each numerical figure in a data is called an observation.

6. The number of times a particular observation occurs is called its frequency.

7. The difference between the highest and lowest values of the observations in a given data is called its range.

8. Mean  = sumof all observations/number of observations

9. A table showing the frequencies of various observations of data is called a frequency distribution or simply a frequency table.

10. When the number of observations is large, we make used of tally marks to find the frequencies.

11. Tallies are usually marked in a bunch of five for the case of counting.

12. When the list of observations is long, the data is usually organised into groups called class intervals and the data so obtained is called a grouped data.

13. The lower value of a class interval is called its lower limit and the upper value is called its upper limit.

14. The difference between the upper and lower class limits is called the width or the size of the class interval.

15. The mid-value of a class interval is called its class mark.

Graphical representation

1. A histogram is a pictorial representation of the grouped data in which class intervals are taken along the horizontal axis and class frequencies along the vertical axis and for each class a rectangle is constructed with base as the class interval and height determined from the class frequency.

2. In a bar graph, bars of uniform width are drawn with various heights. The height of a column represents the frequency of the corresponding observation.

3. In a pie-chart the values of different are represented by the sectors of a circle. The total angle of 360° at the centre of a circle is divided according to the values of the components.
Central angle for a component = value of the component/total value x 360°

Mean, mode and median

1. Mean in statistics is same as the average in arithmetic.
For a raw data 
Mean = sumof all observations/number of observations
Mean of n numbers = sumof the numbers/number of addends

2. Mean of tabulated data : Let the frequencies of n observations x1, x2, x3.....xn be f1, f2, f3....fn respectively. Then, we define 
cbse-class-9-maths-statistics-mcqs-set-e
where ∑ (sigma) is the Greek letter for summation.

3. Mean of grouped data : In a class interval, we take x as the value of the class mark and use the formula
mean = ∑(f.x)/∑ f

4. Mode : The observation which occurs for maximum number of times is called the mode of the given data. In a tabulated data, the observation with maximum frequency is the mode.

5. Median : After arranging data in ascending or descending order of magnitudes the value of the middle term is called the median of the data.
(i) When the number of observations is odd, then there will be only one mid term and this term is the median.
(ii) When the number of observations is even, then there will be two middle terms. The average of these two middle terms will be the median of the data.

Question. The mean of 10 observation is 25. If one observation, namely 25, is deleted, the new mean is
(A) 25
(B) 20
(C) 28
(D) 22

Answer: A

Question. Mean of the set of observations is the value which
(A) occurs most frequently
(B) divides observations into two equal parts
(C) is a representative of whole group
(D) is the sum of observations

Answer: C

Question. If each entry of a data is increased by 5, then the arithmetic mean
(A) remains the same
(B) increases by 5
(C) decreases by 5
(D) none of the foregoing

Answer: B

Question. The arithmetic mean of five given numbers is 85. Their sum is
(A) 425
(B) 85
(C) between 85 and 425
(D) more than 425

Answer: A

Question. The daily earnings (in rupees) of 10 workers in a factory are 8, 16, 19, 8, 16, 19, 16, 8, 19, 19. The median wage is
(A) Rs. 17.50
(B) Rs. 8.00
(C) Rs. 19.00
(D) Rs. 16.00

Answer: D

Question. The average weight of sample of 10 apples is 52 g. Later it was found that the weighing machine had shown the weight of each apple 10 g less. The correct average weight of an apple is
(A) 62 g
(B) 54g
(C) 56 g
(D) 52 g

Answer: A

Question. The mean of 6, y, 7, x and 14 is 8. Then
(A) x + y = 13
(B) x – y = 13
(C) 2x + 3y = 13
(D) x2 + y2 = 15

Answer: A

Question. The mean of 994, 996, 998, 1000 and 1002 is
(A) 992
(B) 1004
(C) 998
(D) none

Answer: C

Question. The mode of a set of observations is the value which
(A) occurs most frequently
(B) is central
(C) is between maximum and minimum
(D) none of the foregoing

Answer: A

Question. The arithmetic mean for the following frequency distribution is 
cbse-class-9-maths-statistics-mcqs-set-e
(A) 26.5
(B) 42.3
(C) 43.8
(D) 29.5

Answer: A

Question. The arithmetic mean of first five natural numbers is
(A) 3
(B) 4
(C) 5
(D) 6

Answer: A

Question. If the arithmetic mean of 6, 8, 5, 7, x and 4 is 7, then x is
(A) 12
(B) 6
(C) 8
(D) 4

Answer: A

Question. The arithmetic mean of first ten natural numbers is
(A) 5.5
(B) 6
(C) 7.5
(D) 10

Answer: A

Question. The weight (in kg) of 5 men are 62, 65, 69, 66 and 61. The median is
(A) 45 kg
(B) 66 kg
(C) 65 kg
(D) 55 kg

Answer: C

Question. If in a data, 10 numbers arranged in increasing order. If the 7th entry is increased by 4, then the median increases by
(A) zero
(B) 4
(C) 6
(D) 5

Answer: A

Question. The mean of x, x + 3, x + 6, x + 9 and x + 12 is
(A) x + 6
(B) x + 3
(C) x + 9
(D) x + 12

Answer: A

Question. 20 years ago, when my parents got married, their average age was 23 years, now the average age of my family, consisting of myself and my parents only is 35 years. My present age is
(A) 34 years
(B) 42 years
(C) 24 years
(D) 16 years

Answer: D

Question. The daily sale of kerosene (in liters) in a ration shop for six days is as follows:
75, 120, 12, 50, 70.5 and 140.5. The average daily sale is
(A) 150
(B) 10
(C) 142
(D) 78

Answer: D

Question. The mean of five numbers is 27. If one of the numbers is excluded the mean gets reduced by 2. The excluded numbers is
(A) 35
(B) 27
(C) 25
(D) 40

Answer: A

Question. The median of the following data: 46, 64, 87, 41, 58, 77, 35, 90, 55, 33, 92 is
(A) 87
(B) 77
(C) 58
(D) 60.2

Answer: C

Question. A car runs for t1 hours at v1 km/h, t2 hours at v2 km/h. What is the average speed of the car for the entire journey? 
cbse-class-9-maths-statistics-mcqs-set-e

Answer: A

Question. A car runs x km at an average speed of v1 km/h, and y km at an average speed of v2 km/h. What is the average speed of the train for the entire journey?
(A) x+y/v1+v2
(B) v1v2(x+y)/xv2+yv1
(C) x1v1+x2v2/v1+v2
(D) None of these

Answer: B

Question. Of three numbers, the first is twice the second and thrice the third, the average of all the three numbers is 88, then the smallest number as
(A) 72
(B) 46
(C) 48
(D) 52

Answer: C

Question. The average age of m boys is ‘b’ years and ‘n’ girls is ‘c’ years. Find the average age of all together 
(A) mb-nc/m - n
(B) mb-nc/m + n
(C) mb+nc/m + n
(D) mb+nc/m-n

Answer: C

Question. 
cbse-class-9-maths-statistics-mcqs-set-e

Answer: B

Question. Rohit goes from a place to another and returns by the same route. He pedals his way uniformly with speed u while going amnd with speed v while returning. The average speed of his journey is
(A) 1/1/2(1/u+1/v)
(B) 1/2(1/u-1/v)
(C) 1/1/2(u-v)
(D) u+v/2

Answer: A

Question. In class of 100 students the mean marks obtained in a subject is 30 and in another class of 50 students the mean marks obtained in the same subject is 60. The mean marks obtained by the students of two classes taken together is
(A) 60
(B) 55
(C) 40
(D) 35

Answer: C

Question. A man lands Rs. 1200 in four sums. If he gets 5% for Rs. 300, 6% for Rs. 350 and 6.5% for Rs. 400.
What average interest is 6.5%?
(A) 31%
(B) 6%
(C) 31/3%
(D) 33/3%

Answer: D

Question. The average noon temperature for monday, tuesday and wednesday was 53° and for tuesday, wednesday and thursday it was 56°. If the noon temperature on thursday was 60°. Find the noon temperature on monday
(A) 51°
(B) 53°
(C) 56°
(D) 57°

Answer: A

Question. One third of a centain journey was covered at a rate of 25 km/h one-fourth at the rate of 30 km/h and the rest at the rate of 50 km/h. Find the average speed per hour for the whole journey? 
cbse-class-9-maths-statistics-mcqs-set-e

Answer: B

Chapter 03 Coordinate Geometry
CBSE Class 9 Maths Coordinate Geometry MCQs
Chapter 04 Linear Equations in Two Variables
CBSE Class 9 Maths Linear Equations in Two Variables MCQs
Chapter 05 Introduction to Euclids Geometry
CBSE Class 9 Maths Introduction to Euclids Geometry MCQs
Chapter 06 Lines and Angles
CBSE Class 9 Maths Lines and Angles MCQs
Chapter 08 Quadrilaterals
CBSE Class 9 Maths Quadrilaterals MCQs
Chapter 09 Areas of Parallelograms and Triangles
CBSE Class 9 Maths Areas of Parallelogram and Triangle MCQs
Chapter 11 Constructions
CBSE Class 9 Maths Constructions MCQs
Chapter 12 Herons Formula
CBSE Class 9 Maths Herons Formula MCQs
Chapter 13 Surface Areas and Volumes
CBSE Class 9 Maths Surface Areas and Volumes MCQs

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