# Class 11 Mathematics Chapter 15 Statistics MCQ Questions with Answer

Statistics Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Statistics class 11 MCQ which will help them all through their board test.

## Statistics Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 15 Statistics. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Statistics Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Statistics MCQ with answers given below.

Question 1 : The mean of six numbers is 30. If one number is excluded, the mean of the remaining numbers is 29. The excluded number is
(a) 29
(b) 30
(c) 35
(d) 45

Question 2 : The mean of a set of 20 observation is 19.3. The mean is reduced by 0.5 when a new observation is added to the set. The new observation is
(a) 19.8
(b) 8.8
(c) 9.5
(d) 30.8

Question 3 : Consider the first 10 positive integers. If we multiply each number by –1 and then add 1 to each number, the variance of the numbers so obtained is
(a) 8.25 “
(b) 6.5
(c) 3.87
(d) 2.87

Question 4 : The algebraic sum of the deviations of 20 observations measured from 30 to 20. What is the value of the mean of the observations ?
(a) 30
(b) 30.1
(c) 29
(d) 31

Question 5 : The mean deviation from the median of the following set of observations 5, 3, 9, 12, 3, 10, 12, 21, 18, 12, 21 is
(a) 5.113
(b) 4.606
(c) 4.134
(d) 4.909

D

Question 6 : The observations 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 are arranged in ascending order. What is the value of x if the median of the data is 63?
(a) 61
(b) 62
(c) 62.5
(d) 63

Question 7 : The mode of the given distribution is:
Weight (in kg)             40    43    46   49   52   55
Number of children       5     8      16    9     7    3

(a) 40
(b) 55
(c) 49
(d) 46

Question 8 : Find the median of 18, 35, 10, 42, 21
(a) 20
(b) 19
(c) 21
(d) 22

Question 9 : While dividing each entry in a data by a nonzero number a, the arithmetic mean of the new data:
(a) is multiplied by a
(b) does not change
(c) is divided by a
(d) is diminished by a

Question 10 : The standard deviation of 7, 9, 11, 13, 15 is:
(a) 2.82
(b) 2.4
(c) 2.7
(d) 2.5

A

Question 11 : What is the standard deviation of the following series ?
Measurements 0 -10   10 – 20    20 -30   30 – 40
Frequency           1          3             4           2
(a) 81
(b) 7.6
(c) 9
(d) 2.26

Question 12 : The mean deviation from the mean of the following data :
Marks   0-10    10-20    20-30    30-40   40-50
No. of     5         8          15         16         6
Students
is
(a) 10
(b) 10.22
(c) 9.86
(d) 9.44

Question 13 : The standard deviation for the following data is
Wages per week upto  15   30   45    60     75     90     105    120
Number of Workers      12   30   65   107   157    202    222   230
(a) 26.75
(b) 24.46
(c) 25.89
(d) none

Question 14 : The mean of 13 observations is 14. If the mean of the first 7 observations is 12 and that of the last 7 observations is 16, what is the value of the 7th observation ?
(a) 12
(b) 13
(c) 14
(d) 15

Question 15 : A batsman scores runs in 10 innings 38, 70, 48,34, 42, 55, 63, 46, 54 and 44, then the mean deviation is
(a) 8.6
(b) 6.4
(c) 10.6
(d) 9.6

A

Question 16 : The median from the table
value             7   8   9   10   11   12   13
frequency is:  2   1   5    4     6     1    3

(a) 100
(b) 10
(c) 110
(d) 1110

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Statistics Class 11 MCQ are ready by the subject specialists themselves.

Question 17 : The coefficient of variation from the given data class 0-10 10-20 20-30 30-40 40-50 interval frequency 2 10 8 4 6 is :
(a) 50
(b) 51.9
(c) 48
(d) 51.8

Question 18 : The average of 5 quantities is 6, the average of three of them is 4, then the average of remaining two numbers is :
(a) 9
(b) 6
(c) 10
(d) 5

Question 19 : The mode of the following series 3, 4, 2, 1, 7, 6, 7,6, 8, 6, 5 is
(a) 5
(b) 6
(c) 7
(d) 8

Question 20 : The co-efficient of variation is computed by:
(a) mean/ standard deviation
(b) standard deviation /mean
(c) mean /standard deviation x 100
(d) standard deviation / mean x 100

D

Question 21 : In a series of 2 n observations, half of them equal a and remaining half equal –a. If the standard deviation of the observations is 2, then |a| equals.
(a) √2 / n
(b) √2
(c) 2
(d) 1/n

Question 22 : A scientist is weighing each of 30 fishes. Their mean weight worked out is 30 gm and a standarion deviation of 2 gm. Later, it was found that the measuring scale was misaligned and always under reported every fish weight by 2 gm. The correct mean and standard deviation (in gm) of fishes are respectively :
(a) 32, 2
(b) 32, 4
(c) 28,2
(d) 28, 4

Question 23 : In a batch of 15 students, if the marks of 10 students who passed are 70, 50, 95, 40, 60, 70, 80, 90, 75, 80 then the median marks of all the 15 students is:
(a) 40
(b) 50
(c) 60
(d) 70

Question 24 : If f (x + y, x – y) = xy, then the arithmetic mean of f (x, y) and f(y, x) is :
(a) x
(b) y
(c) 0
(d) none of these

Question 25 : If a variable takes discrete values x + 4, x – 7/2 , x – 5/2 , x – 3 , x – 2 , x + 1/2 , x – 1/2 , x + 5 (x is positive), then the median is :
(a) x – 5/4
(b) x – 1/2
(c) x – 2
(d) x + 5/4

A

Question 26 : The median of 19 observations is 30. Two more observations are made and the values of these are 8 and 32. The median of the 21 observations taken together is equal to:
(a) 28
(b) 30
(c) 32
(d) 34

Question 27 : If in a frequency distribution table with 12 classes, the width of each class is 2.5 and the lowest class boundary is 6.1, then what is the upper class boundary of the highest class?
(a) 30.1
(b) 27.6
(c) 30.6
(d) 36.1

Question 28 : Let x1, x2, …..xn be n observations. Let wi = l xi + k for i = 1, 2, … n, where l and k are constants. If the mean of xi’s is 48 and their standard deviation is 12, the mean of w’is is 55 and standard deviation of w’is is 15, the values of l and k should be
(a) l = 1.25, k = – 5
(b) l = –1.25, k = 5
(c) l = 2.5, k = – 5
(d) l = 2.5, k = 5

Question 29 : Standard deviations for first 10 natural numbers is
(a) 5.5
(b) 3.87
(c) 2.97
(d) 2.87

Question 30 : The standard deviation of some temperature data in °C is 5. If the data were converted into °F, the variance would be
(a) 81
(b) 57
(c) 36
(d) 25

Question 31 : The variance of the following distribution is
x1 2 3 11
f(x1) 1/3 1/2 1/6
(a) 10
(b) 16
(c) 8
(d) 7.5

Question 32 : In an experiment with 15 observations on x, the following results were available :Sx2 = 2830, Sx =170One observation that was 20 was found to be wrong and was replaced by the correct value 30. The corrected variance is
(a) 8.33
(b) 78.00
(c) 188.66
(d) 177.33

B

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