# MCQ Questions for Class 11 Statistics with Answers

Statistics Class 11 MCQ Questions with Answers has been gathered for students to rehearse. Students can prepare these Statistics MCQ Class 11 Questions with Answers. Each question has four choices with answers. Firstly, Solve all these Questions and check your answer with the right answer. If your answers do not match with the right answer, Don’t worry try again because You need to prepare daily to score higher marks in the Class 11 Math Exam.

Students can refer to the following Statistics MCQ Questions for Class 11 Maths with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here a collection of multiple choice questions for Statistics Class 11 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

## Statistics Class 11 MCQ Maths Free PDF

We have provided below Statistics MCQ Questions for Class 11 Maths with answers which will help the students to go through the entire syllabus and practice multiple choice questions provided here with solutions. As Statistics MCQs in Class 11 Mathematics pdf download can be really scoring for students, you should go through all problems provided below so that you are able to get more marks in your exams.

Question. The measure of dispersion is:
(a) mean deviation
(b) standard deviation
(c) quartile deviation
(d) all a, b and c

D

Question. The observation which occur most frequently is known as :
(a) mode
(b) median
(c) weighted mean
(d) mean

A

Question. The reciprocal of the mean of the reciprocals of n observation is the :
(a) geometric mean
(b) median
(c) harmonic mean
(d) average

C

Question. If x represents the mean of n observations x1,x2, ………, xn, then value of
(a) –1
(b) 0
(c) 1
(d) n – 1

A

Question. The definition of Mode fails if:
(a) the maximum frequency is repeated
(b) the maximum frequency is not repeated
(c) the maximum frequency occurs in the middle
(d) the curve drawn with the help of given data is symmetrical

B

Question. If you want to measure the intelligence of a group of students,which one of the following measures will be more suitable?
(a) Arithmetic mean
(b) Mode
(c) Median
(d) Geometric mean

D

Question. Coefficient of variation of two distribution are 60 and 70, and their standard deviations are 21 and 16, respectively. What are their arithmetic means?
(a) 35, 22.85
(b) 22.85, 35.28
(c) 36, 22.85
(d) 35.28, 23.85

a

Question. In computing a measure of the central tendency for any set of 51 numbers, which one of the following measures is well-defined but uses only very few of the numbers of the set?
(a) Arithmetic mean
(b) Geometric mean
(c) Median
(d) Mode

D

Question. A set of numbers consists of three 4’s, five 5’s, six 6’s, eight 8’s and seven 10’s. The mode of this set of numbers is
(a) 6
(b) 7
(c) 8
(d) 10

C

41. The marks obtained by 60 students in a certain test are given below :
Mean and Median of the above data are respectively
(a) 64.33, 68.33
(b) 60, 70
(c) 66.11, 71.11,
(d) none of these

A

Question. In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is
(a) 6
(b) 7
(c) 8
(d) 12

B

Question. The mean of 100 observations is 50 and their standard deviation is 5. The sum of all squares of all the observations is
(a) 50000
(b) 250000
(c) 252500
(d) 255000

C

Question. In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?
(a) 73
(b) 65
(c) 68
(d) 74

B

Question. The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set
(a) remains the same as that of the original set
(b) is increased by 2
(c) is decreased by 2
(d) is two times the original median.

A

Question. Consider the following statements :
(A) Mode can be computed from histogram
(B) Median is not independent of change of scale
(C) Variance is independent of change of origin and scale.
Which of these is / are correct ?
(a) (A), (B) and (C)
(b) only (B)
(c) only (A) and (B)
(d) only (A)

C

Question. Mean score of six students in an examination is 48. If the individual scores of five students be 45, 58, 50, 54 and 49, then the score of the sixth student is equal to:
(a) 32
(b) 34
(c) 40
(d) 42

A

Question. If mean of the n observations x1, x2, x3,… xn be x , then the mean of n observations 2x1 + 3, 2x2 + 3, 2x3 + 3, …., 2xn + 3 is
(a) 3x + 2
(b) 2x + 3
(c) x + 3
(d) 2x

B

Question. Mean of 20 observations is 15.5 Later it was found that the observation 24 was misread as 42. The corrected mean is:
(a) 14.2
(b) 14.8
(c) 14.0
(d) 14.6

D

Question. Variance of the numbers 3, 7, 10,18, 22 is equal to
(a) 12
(b) 6.4
(c) 49.2
(d) 49.2

D

Question. Mean deviation of the data a, a + d, a + 2d,……., a + 2nd from the mean is equal to
(a) n(n + 1) |d | /2n+1
(b) n(n + 1) |d | /2n+1
(c) (n + 1) |d | /2n
(d) None of these

A

Question. If the mean of n observations 12, 22, 32….,n2 is 46n /,11 then n is equal to
(a) 11
(b) 12
(c) 23
(d) 22

A

Question. Find the mode from the data given below:
Marks obtained    0 – 5    5 – 10    10 – 15    15 – 20    20 – 25     25 – 30
No. of students     18         20           25          30             16           14
(a) 16.1
(b) 16.2
(c) 16.7
(d) 16.3

D

Question. If the mean of four observations is 20 and when a constant c is added to each observation, the mean becomes 22. The value of c is :
(a) – 2
(b) 2
(c) 4
(d) 6

B

Question. The variance of first n natural numbers is :
(a) n2+1 / 12
(b) (n + 1)(2n + 1) /6
(c) n2+n / 12
(d) n2-1 / 12

D

Question. The standard deviation of 35, 40, 42, 36, 27 :
(a) 25.8
(b) 26.9
(c) 26.8
(d) 27.8

C

Question. If the mean of 3, 4, x, 7, 10 is 6, then the value of x is:
(a) 4
(b) 5
(c) 6
(d) 7

C

Question. The weighted mean of first n natural numbers whose weights are equal to the squares of corresponding numbers is:
(a) n+1/2
(b) 3n(n+1)/2(n+1)
(c)  (n+1)(2n+1)/6
(d) n(n+1)/2

B

Question. The average weight of students in a class of 35 students is 40 kg. If the weight of the teacher be included, the average rises by 1/2 kg; the weight of the teacher is:
(a) 40.5 kg
(b) 50 kg
(c) 41 kg
(d) 58 kg

D

Question. If the arithmetic mean of the numbers x1 x2 x3….. xn is X̅ , then the arithmetic mean of numbers ax1 + (b)x2 (b)x3+b,…… axn + b , where a, b are two constants would be
(a) x̅
(b) nax̅+nb
(c) ax̅
(d) ax̅ + b

D

Question. The harmonic mean of 3, 7, 8, 10, 14 is:

D

Question. The mean age of a combined group of men and women is 30 years. If the means of the age of men and women are respectively 32 and 27, then the percentage of women in the group is:
(a) 30
(b) 40
(c) 50
(d) 60

B

Question. If the mean of the distribution is 2.6, then the value of y is:

(a) 24
(b) 13
(c) 8
(d) 3

C

Question. If the mean of the set of numbers x1 x2 x3….. xn is X̅ then the mean of the numbers x1 + 2i , 1≤i≤n is :
(a) X̅ + 2n
(b) X̅ + n+1
(c) X̅ + 2
(d) X̅ + n

B

Question. 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) 82x 1/2
(c) 50
(d) 80

C

Question. The mean of 5 numbers is 18. If one number is excluded, their mean becomes 16. Then the excluded number is:
(a) 18
(b) 25
(c) 26
(d) 30

C

Question. The two lines of regression are given by 3x + 2y = 26 and 6x + y = 31 . The coefficient of correlation between x and y is
(a) -1/3
(b) 1/3
(c) -1/2
(d) 1/2

C

Question. The two regression lines are 2x −9y +6=0 and x−2y+1=0 . What is the correlation coefficient between x and y
(a) –2/3
(b) 2/3
(c) 4/9
(d) None of these

B

Question. Let x1 , x2 ,x3….. xn be n observations such that ∑x12 = 400 and ∑xi = 80 . Then a possible value of n among the following is:
(a) 9
(b) 12
(c) 15
(d) 18

D

Question. The G.M. of the numbers 3, 32 ,33 ,….. 3n is:
(a) 32/n
(b) 3(n-1)/2
(c) 3n/2
(d) 3(n+1)/2

D

Question. The median of 10, 14, 11, 9, 8, 12, 6 is:
(a) 10
(b) 12
(c) 14
(d) 11

A

Question. di is the deviation of a class mark yi from ‘a’ the assumed mean and fi is the frequency, IF

(a) Lower limit
(b) Assumed mean
(c) Number of observations
(d) Class size

B

Question. Consider the frequency distribution of the given numbers

If the mean is known to be 3, then the value of f is:
(a) 3
(b) 7
(c) 10
(d) 14

D

Question. For a symmetrical distribution Q1 = 25 and Q3 = 45, the median is:
(a) 20
(b) 25
(c) 35
(d) None of these

C

Question. The upper quartile for the following distribution is given by the size of:

C

Question. A set of numbers consists of three 4’s, five 5’s, six 6’s, eight 8’s and seven 10’s. The mode of this set of numbers is:
(a) 6
(b) 7
(c) 8
(d) 10

C

Question. The mode of the distribution:

(a) 5
(b) 6
(c) 8
(d) 10

B

Question. If Var(x) = 8.25, Var(y) = 33.96 and Cov (x,y) = 10.2, then the correlation coefficient is:
(a) 0.89
(b) – 0.98
(c) 0.61
(d) – 0.16

C

Question. Karl Pearson’s coefficient of correlation between the heights (in inches) of teachers and students corresponding to the given data is:

(a) 1/√2
(b) √2
(c) -1/√2
(d) 0

A

Question. For the given data, the calculation corresponding to all values of pairs (x, y) is following ∑(x–x̅)2= 36, ∑(y–y̅)2 = 25  (x–x̅)(y–y̅) = 20 , Then the Karl Pearson’s correlation coefficient is:         C
(a) 0.2
(b) 0.5
(c) 0.66
(d) 0.33

C

Question. Karl Pearson’s coefficient of correlation between x and y for the following data is:

(a) 0.480
(b) – 0.480
(c) 0.408
(d) – 0.408

C

Question. If two random variables x and y, are connected by relationship 2x + y = 3, then xy r =
(a) 1
(b) – 1
(c) – 2
(d) 3

B

Question. In-equations 3x − y ≥ 3 and 4x − y > 4
(a) Have solution for positive x and y
(b) Have no solution for positive x and y
(c) Have solution for all x
(d) Have solution for all y

A

Question. The coefficients of correlation between the heights (in inches) of fathers and sons from the following data will be:

(a) 0.60
(b) – 0.60
(c) – 0.67
(d) 0.67

D

Question. For the following data ∑(x–x̅)2= 36, ∑(y–y̅)2 = 256 , (x–x̅)(y–y̅) = 80 The Pearson’s coefficient of correlation is:
(a) 0.2
(b) 0.01
(c) 1
(d) 0.1

C

Question. If the lines of regression be x − y = 0 and 4x − y − 3 = 0 ,and 2 1, x σ = then the coefficient of correlation is
(a) – 0.5
(b) 0.5
(c) 1.0
(d) – 1.0

B

Question. The mean deviation of the numbers 3, 4, 5, 6, 7 is:
(a) 0
(b) 1.2
(c) 5
(d) 25

B

Question. The variance of the first n natural numbers is:
(a) n2–1/12
(b) (b) n2–1/6
(c) n2+1/6
d  n2+1/12

A

Question. If the values of regression coefficients are – 0.33 and –1.33, then the value of coefficient of correlation between the two variables, is
(a) 0.2
(b) – 0.66
(c) 0.4
(d) – 0.4

B

Question. If regression coefficient of y on x is 8/5 and that of x on y is 2/5 and the acute angle between the two lines is α , then the value of tan α is:
(a) 9/25
(b) 9/2√5
(c) 3/25
(d) 9/50