# Class 11 Mathematics Statistics MCQs

## Statistics Class 11 MCQ

Class 11 Mathematics students should refer to the following multiple-choice questions with answers for Statistics in standard 11. These MCQ questions with answers for Grade 11 Mathematics will come in exams and help you to score good marks

### Class 11 Statistics MCQ Questions with Answers

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

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

Question : 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 : 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 : 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 : 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 : 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

Question : 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

Question : 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 : 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 : 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 : 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

Question : 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 : 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 : 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 : 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 : 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

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

Question : 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 : 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 : 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

Question : 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 : 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 : 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 : 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 : 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

Question : 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 : 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

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