MCQ Questions | Class 10 Maths Chapter 14 | Statistics with Answers

MCQ | Statistics Class 10 | Sat B

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 14 Statistics with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Statistics Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 10

NCERT Solutions Class 10 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	10th
Subject:	Maths
Chapter:	14
Chapters Name:	Statistics
Medium:	English

Ncert Solutions for Class 10 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 10 Maths Chapter 14 Statistics to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Statistics | Class 10 Maths | NCERT Solutions

Q1.	d_i is the deviation of x_i from assumed mean a. If mean = \(x+\frac{\sum f_{i} d_{i}}{\sum f_{i}}\), then x is
	A. class size ‘
	B. number of observations
	C. assumed mean
	D. none of these

Ans: assumed mean

Explaination:

∵ Mean = assumed mean + \(\frac{\sum f_{i} d_{i}}{\sum f_{i}}\)
∴ x = assumed mean.

Q2.	Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is
	A. 48
	B. 49
	C. 50
	D. 60

Ans: 50

Explaination:

Sum of 100 observations
= 100 × 49 = 4900
Correct sum
= 4900 – [40 + 20 + 50 ] + [60 + 70 + 80] = 5000
∴ Correct mean = \(\frac{5000}{100}\) = 50.

Q3.	While computing mean of grouped data, we assume that the frequencies are
	A. evenly distributed over all the classes
	B. centred at the classmarks of the classes
	C. centred at the upper limits of the classes
	D. centred at the lower limits of the classes

Ans: centred at the classmarks of the classes

Explaination: (b) centred at the classmarks of the classes.

Q4.	The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its
	A. mean
	B. median
	C. mode
	D. all the three above

Ans: median

Q5.	Mode is the value of the variable which has:
	A. maximum frequency
	B. minimum frequency
	C. mean frequency
	D. middle most frequency ]

Ans: maximum frequency

Q6.	Mode and mean of a data are 12k and 15A. Median of the data is
	A. 12k
	B. 14k
	C. 15k
	D. 16k

Ans: 14k

Explaination:

∵ Mode = 3 median – 2 mean
⇒ 12k = 3 median – 2 × 15k
⇒ 42k = 3 median
⇒ Median = 14k.

Q7.	For the following frequency distribution:If the mode and the median are 12.9 and 14.44 respectively, then the mean is
	A. 15.2
	B. 13
	C. 16
	D. 17

Ans: 15.2

Q8.	While computing mean of grouped data, we assume that the frequencies are
	A. evenly distributed over all the classes
	B. centred at the classmarks of the classes
	C. centred at the upper limits of the classes
	D. centred at the lower limits of the classes

Ans: centred at the classmarks of the classes

Q9.	For a symmetrical distribution, which is correct
	A. Mean > Mode > Median
	B. Mode = Mean+ Median/2
	C. Mean < Mode < Median
	D. Mean = Median = Mode

Ans: Mean = Median = Mode

Q10.	The mean and the median of a distribution are 45.9 and 46 respectively. The mode will be
	A. 45
	B. 47
	C. 48
	D. 46.2

Ans: 46.2

Q11.	Which of the following is true –
	A. Mode = 3Median + 2Mean
	B. Median = Mode +3/2[Mean – Median]
	C. Mean = Mode + 3/2[Median – Mode]
	D. Median = Mode + 3/2[Median + Mode]

Ans: Mean = Mode + 3/2[Median – Mode]

Q12.	The measure of central tendency which is given by the x-coordinate of the point of intersection of the 'more than' ogive and 'less than' ogive is –
	A. Mean
	B. Median
	C. Mode
	D. None of these

Ans: Median

Q13.	In the given data if n = 230, l = 40, cf = 76, h = 10, f = 65, then its median is
	A. 40
	B. 46
	C. 47
	D. 48

Ans: 46

Q14.	The median of first 10 prime numbers is
	A. 11
	B. 12
	C. 13
	D. none of these

Ans: 12

Q15.	The mean of the first 10 multiples of 6 is
	A. 3.3
	B. 33
	C. 34
	D. none of these

Ans: 33

Q16.	The marks obtained by 9 students in Mathematics are 59, 46, 30, 23, 27, 44, 52, 40 and 29. The median of the data is
	A. 30
	B. 35
	C. 29
	D. 40

Ans: 40

Q17.	Which of the following is true?
	A. Mode = 2Median – Mean
	B. Mode = 3Median + 2Mean
	C. Mode = 3Median – 2Mean
	D. None of these

Ans: Mode = 3Median – 2Mean

Q18.	The mean of the first 10 natural numbers is
	A. 5
	B. 6
	C. 4.5
	D. 5.5

Ans: 5.5

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

MCQ Questions | Class 10 Maths Chapter 14

MCQ Questions | Class 10 Maths Chapter 14 | Statistics with Answers

MCQ | Statistics Class 10 | Sat B

Objective Question | NCERT Maths Class 10

Ncert Solutions for Class 10 Maths | Objective Type Questions

Statistics | Class 10 Maths | NCERT Solutions

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

Ncert Solutions for Class 10 Maths Chapter 1

Ncert Solutions for Class 10 Maths Chapter 2

Ncert Solutions for Class 10 Maths Chapter 3

Ncert Solutions for Class 10 Maths Chapter 4

Ncert Solutions for Class 10 Maths Chapter 5

Ncert Solutions for Class 10 Maths Chapter 6

Ncert Solutions for Class 10 Maths Chapter 7

Ncert Solutions for Class 10 Maths Chapter 8

Ncert Solutions for Class 10 Maths Chapter 9

Ncert Solutions for Class 10 Maths Chapter 10

Ncert Solutions for Class 10 Maths Chapter 11

Ncert Solutions for Class 10 Maths Chapter 12

Ncert Solutions for Class 10 Maths Chapter 13

Ncert Solutions for Class 10 Maths Chapter 14

Ncert Solutions for Class 10 Maths Chapter 15

NCERT SOLUTIONS

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