Get the App Signup / Login

Class 9 Exam > Class 9 Tests > Mathematics (Maths) Class 9 > Test: Statistics- 1 - Class 9 MCQ

Test: Statistics- 1 - Class 9 MCQ

Test Description

25 Questions MCQ Test Mathematics (Maths) Class 9 - Test: Statistics- 1

Test: Statistics- 1 for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation. The Test: Statistics- 1 questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Statistics- 1 MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Statistics- 1 below.

Solutions of Test: Statistics- 1 questions in English are available as part of our Mathematics (Maths) Class 9 for Class 9 & Test: Statistics- 1 solutions in Hindi for Mathematics (Maths) Class 9 course. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free. Attempt Test: Statistics- 1 | 25 questions in 25 minutes | Mock test for Class 9 preparation | Free important questions MCQ to study Mathematics (Maths) Class 9 for Class 9 Exam | Download free PDF with solutions

Test: Statistics- 1 - Question 1

Save

A student collects information about the number of school going children in a locality consisting of a hundred households. The data collected by him is

A.
Arrayed data
B.
Grouped data
C.
Primary data
D.
Secondary data

Test: Statistics- 1 - Question 2

Save

Class mark of a particular class is 9.5 and the class size is 6, then the class interval is

A.
15.5-27.5
B.
12.5-18.5
C.
3.5-15.5
D.
6.5-12.5

Detailed Solution for Test: Statistics- 1 - Question 2

- Class Mark Formula: \((\text{Lower limit} + \text{Upper limit}) / 2 = 9.5\)
- Class Size: \(\text{Upper limit} - \text{Lower limit} = 6\)
- Calculations:
- \(L + U = 19\)
- \(U - L = 6\)
- Solving gives \(U = 12.5\) and \(L = 6.5\)
- Class Interval: 6.5-12.5

1 Crore+ students have signed up on EduRev. Have you? Download the App

Test: Statistics- 1 - Question 3

Save

One of the sides of a frequency polygon is

A.
either of the coordinate axes
B.
the x-axis
C.
neither of the coordinate axes
D.
the y-axis

Detailed Solution for Test: Statistics- 1 - Question 3

The x-axis is one of the sides of a frequency polygon. The x-axis represents the values of the variable being measured.

Test: Statistics- 1 - Question 4

Save

Out of sixteen observations arranged in an ascending order, the 8^th and 9^th observations are 25 and 27. Then, the median is

A.
26
B.
27
C.
25
D.
26.5

Detailed Solution for Test: Statistics- 1 - Question 4

- Total number of observations is 16, which is even.
- The median is the average of the 8^th and 9^th observations.
- Given the 8^th observation is 25 and the 9^th is 27.
- Calculation: (25 + 27) / 2 = 26

Answer: 26

Test: Statistics- 1 - Question 5

Save

Vihaan has marks of 92, 85, and 78 in three mathematics tests. In order to have an average of exactly 87 for the four math tests, he should obtain

A.
93 marks
B.
90 marks
C.
92 marks
D.
91 marks

Detailed Solution for Test: Statistics- 1 - Question 5

To find the marks Vihaan needs in the fourth test:
- Calculate the total marks required for an average of 87 over four tests:
- Total marks = Average × Number of tests = 87 × 4 = 348.
- Calculate the sum of his current marks:
- Current total = 92 + 85 + 78 = 255.
- Determine the marks needed in the fourth test:
- Marks needed = Total marks required - Current total = 348 - 255 = 93.
Thus, Vihaan should obtain 93 marks in his fourth test to achieve an average of 87.

Test: Statistics- 1 - Question 6

Save

To analyse the election results, the data is collected from a newspapers. The data thus collected is known as

A.
secondary data
B.
raw data
C.
grouped data
D.
primary data

Test: Statistics- 1 - Question 7

Save

The class size of a distribution is 25 and the first class interval is 200-224. Then, the class marks of first two class intervals are

A.
237, 287
B.
212, 237
C.
237, 262
D.
212, 262

Detailed Solution for Test: Statistics- 1 - Question 7

class mark of 1st interval=212

class mark of 2nd interval=236.5

Step-by-step explanation:

First Class interval=200-224

class mark=upper limit +lower limit divided by 2..

class mark of first interval is =200+224 divided by 2=212

Second class interval=224-249

class mark of second interval =224 +249 divided by 2

answer= 236.5

Test: Statistics- 1 - Question 8

Save

Which of the following is NOT a common measure of central tendency?

A.
Mode
B.
Range
C.
Median
D.
Mean

Test: Statistics- 1 - Question 9

Save

What is the median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84?

A.
54
B.
53
C.
55
D.
51

Test: Statistics- 1 - Question 10

Save

If the mean of x and 1/x is M, then the mean of x² and

A.
2M – 1
B.
2M²+1
C.
2M²−1
D.
2M + 1

Detailed Solution for Test: Statistics- 1 - Question 10

If the mean of x and 1/2 is M. then the mean of

x² and 1/x² is

Mean of x and 1/x is M. So

( x +1/x)/2=M

Squaring on both sides,

(x +1/x)²/2²=M²

(x² + 1/x²+2*x*1/x)/4=M²

x²+1/x²+2=4 m²

x²+ 1/x²=4m²-2

Dividing by 2 on both sides,

(x²+1/x²)/2=(4m²-2)/2

= (x²+1/x²)/2 =2 *(2m²-1)/2=2m²-1

=Mean of x² and 1/x²=(2m²-1)

Test: Statistics- 1 - Question 11

Save

Which of the following variables are discrete ? 1. Size of shoes, 2. Number of pages in a book, 3. Distance travelled by a train, 4. Time

A.
2 and 4
B.
1 and 3
C.
1 and 4
D.
1 and 2

Test: Statistics- 1 - Question 12

Save

In a frequency distribution, the mid-value of a class is 60.5 and the width of the class is 10. The lower limit of the class is

A.
55.5
B.
56.5
C.
62.5
D.
65.5

Test: Statistics- 1 - Question 13

Save

The mean for counting numbers through 100 is

A.
47.5
B.
51
C.
50.5
D.
49.5

Test: Statistics- 1 - Question 14

Save

Mode of a set of observations is the value which

A.
is the sum of the observations
B.
occurs most frequently
C.
is the mean of the middle two observations
D.
divides the observations into two equal parts

Test: Statistics- 1 - Question 15

Save

The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number is

A.
38
B.
37
C.
36
D.
39

Test: Statistics- 1 - Question 16

Save

For a given data, the difference between the maximum and minimum observation is known as its

A.
class
B.
class mark
C.
range
D.
class limit

Test: Statistics- 1 - Question 17

Save

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 upper class limit of the highest class is

A.
15
B.
40
C.
25
D.
35

Detailed Solution for Test: Statistics- 1 - Question 17

Let x and y be the upper and lower class limit of frequency distribution.
Given, width of the class = 5
⇒ x-y= 5 …(i)
Also, given lower class (y) = 10 On putting y = 10 in Eq. (i), we get
x – 10= 5 ⇒ x = 15 So, the upper class limit of the lowest class is 15.
Hence, the upper class limit of the highest class
=(Number of continuous classes x Class width + Lower class limit of the lowest class)
= 5 x 5+10 = 25+10=35
Hence,’the upper class limit of the highest class is 35.
Alternate Method
After finding the upper class limit of the lowest class, the five continuous classes in a frequency distribution with width 5 are 10-15,15-20, 20-25, 25-30 and 30-35.
Thus, the highest class is 30-35,
Hence, the upper limit of this class is 35.

Test: Statistics- 1 - Question 18

Save

The mean of first four prime numbers is

A.
4
B.
4.5
C.
3.75
D.
4.25

Test: Statistics- 1 - Question 19

Save

The mode of 4, 6, 7, 8, 12, 11, 13, 9, 13, 9, 7, 8, 9 is

A.
13
B.
7
C.
9
D.
6

Test: Statistics- 1 - Question 20

Save

The mean of five observations is 15. If the mean of first three observations is 14 and that of last three is 17, then the third observation is

A.
29
B.
31
C.
32
D.
18

Detailed Solution for Test: Statistics- 1 - Question 20

⇒ It is given that Mean of 5 observations is 15.

∴ The sum of observations =15×5=75.

∴ It is given that mean of the first 3 observations is 14.

∴ The sum of first three observations =14×3=42.

⇒ Given that mean of the last 3 observations is 17.

∴ The sum of the last three observations =17×3=51

∴ The third observation =(42+51)−75
=93−75

=18

Test: Statistics- 1 - Question 21

Save

In an examination, ten students scored the following marks: 60, 58, 90, 51, 47, 81, 70, 95, 87, 99. The range of this data is

A.
52
B.
51
C.
81
D.
60

Test: Statistics- 1 - Question 22

Save

In a bar graph, 0.25 cm length of a bar represents 100 people. Then, the length of bar which represents 2000 people is

A.
4 cm
B.
4.5 cm
C.
5 cm
D.
3.5 cm

Test: Statistics- 1 - Question 23

Save

If, for the set of observations 4, 7, x, 8, 9, 10 the mean is 8, then x is equal to

A.
9
B.
12
C.
8
D.
10

Test: Statistics- 1 - Question 24

Save

A set of data consists of six numbers: 7, 8, 8, 9, 9 and x. The difference between the modes when x = 9 and x = 8 is

A.
1
B.
4
C.
3
D.
2

Detailed Solution for Test: Statistics- 1 - Question 24

It is not the matter of value of x .since modes are 9 and 8 .therefore difference will remain same i.e 1

Test: Statistics- 1 - Question 25

Save

There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number is

A.
47.5
B.
52.5
C.
56.5
D.
49.5

Detailed Solution for Test: Statistics- 1 - Question 25

	Mathematics (Maths) Class 9 44 videos\|412 docs\|54 tests

Mathematics (Maths) Class 9

44 videos|412 docs|54 tests

Join Course

Information about Test: Statistics- 1 Page

In this test you can find the Exam questions for Test: Statistics- 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Statistics- 1, EduRev gives you an ample number of Online tests for practice

Top Courses for Class 9

	Mathematics (Maths) Class 9 44 videos\|412 docs\|54 tests

Mathematics (Maths) Class 9

44 videos|412 docs|54 tests

Join Course

Download as PDF

Top Courses for Class 9

Join with a free account

Get Instant Access to 1000+ FREE Docs, Videos & Tests

10,000,000

Users

100+

Exams

3,25,000

Docs and Videos

75,000

Tests

I have an EduRev Account • Sign Up with Email

Attempt this test on App!

Get detailed analysis along with solutions of each question.

Open in App

Not Now

Schools

Medical
Non- Medical
Commerce
Humanities
CBSE Class 10
CBSE Class 9
CBSE Class 8
CBSE Class 7
CBSE Class 6
CBSE Class 5
CBSE Class 4
CBSE Class 3
CBSE Class 2
CBSE Class 1

Competitive Examinations

UPSC
NEET
JEE
CLAT
CAT
GMAT
GATE
Railways
SSC
IIT JAM
Defence
Insurance
Teaching
CA Foundation

Technical Exams

GATE
SSC JE
RRB JE
Civil Engineering
Computer Science Engineering
Electrical Engineering
Electronics Engineering
Biotechnology Engineering
Mechanical Engineering
Chemical Engineering

Important Questions for Statistics- 1

Find all the important questions for Statistics- 1 at EduRev.Get fully prepared for Statistics- 1 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Statistics- 1 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Statistics- 1 resources.

Statistics- 1 MCQs with Answers

Prepare for the Statistics- 1 within the Class 9 exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Statistics- 1 Mathematics (Maths) Class 9

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Statistics- 1 with ease. Join thousands of successful students who have benefited from our trusted online resources.

Education Revolution