In This Post we are providing Chapter-15 Statistics NCERT MCQ for Class 11 Math which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.
NCERT MCQ ON STATISTICS
Question 1: 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
Answer : C
Question 2: 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
Answer : D
Question 3 : 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
Answer : C
Question 4 : 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
Answer : C
Question 5: 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
Answer : A
Question 6 : 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
Answer : A
Question 7 : Standard deviations for first 10 natural numbers is
(a) 5.5
(b) 3.87
(c) 2.97
(d) 2.87
Answer : D
Question 8 : 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
Answer : A
Question 9 : 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
Answer : A
Question 10 : 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
Answer : B
Question 11 : 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
Answer : C
Question 12 : 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
Answer : A
Question 13 : 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
Answer : C
Question 14 : 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
Answer : C
Question 15: 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
Answer : A
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