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Free download in PDF Class 11 Maths Chapter 15 Statistics Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>
(1)
Varience of the following data 2, 4, 5, 6, 8, 17 is
[A]
13.33
[B]
23.33
[C]
33.33
[D]
None of these
(2)
Coefficient of variation of a data is
[A]
Standard deviation/Mean
[B]
(Standard deviation/Mean) * 100
[C]
(Mean/Standard deviation) * 100
[D]
Mean/Standard deviation
Answer: (Standard deviation/Mean) * 100
(3)
Mode of grouped data is
[A]
(f1 - f0 ) *h /{(2f1 - f0 - f2 )}
[B]
l * (f1 - f0 ) *h /{(2f1 - f0 - f2 )}
[C]
l + (f1 - f0 ) *h /{(2f1 - f0 - f2 )}
[D]
None of these
Answer: l + (f1 - f0 ) *h /{(2f1 - f0 - f2 )}
(4)
If the mean of a frequency distribution is 8.1 and ∑ƒixi = 132 + 5k, ∑ƒi = 20, then k =
(5)
If mode of a series exceeds its mean by 12, then mode exceeds the median by
(6)
If Mean = Median = Mode, then it is
[A]
Symmetric distribution
[B]
Asymmetric distribution
[C]
Both symmetric and asymmetric distribution
[D]
None of these
Answer: Symmetric distribution
(7)
If the difference of mode and median of a data is 24, then the difference of median and mean is
[A]
12
[B]
24
[C]
8
[D]
36
(8)
The median and SD of a distributed are 20 and 4 respectively. If each item is increased by 2, the new median and SD are
[A]
20, 4
[B]
22, 6
[C]
22, 4
[D]
20, 6
(9)
Mean of the first n terms of the A.P. a + ( a + d ) + ( a + 2d ) + ………is
[A]
a+nd/2
[B]
a + ( n - 1 )d
[C]
a+(n−1)d/2
[D]
a + nd
(10)
Let x1 , x2 , x3 , x4 , x5 be the observations with mean m and standard deviation s. The standard deviation of the observations kx1 , kx2 , kx3 , kx4 , kx5 is
[A]
k+s
[B]
s/k
[C]
k*s
[D]
s
(11)
The mean of 1,3,4,5,7, 4 is m . the numbers 3,2,2,4,3,3, p have mean m - 1 and median q . Then, p+q =
(12)
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 > 0), then the median is
[A]
x - 5/4
[B]
x - 1/2
[C]
x - 2
[D]
x + 5/4
(13)
The measure which takes into account all the data items is
[A]
Mean
[B]
Median
[C]
Mode
[D]
None of these
(14)
The mean and variance of 7 observations are 8 and 16, respectively. If five of the observations are 2, 4, 10, 12, 14. then the remaining two observations are
[A]
4, 6
[B]
6, 8
[C]
8, 10
[D]
10, 12
(15)
The coefficient of correlation between two variables is independent of
[A]
both origin and the scale
[B]
scale but not origin
[C]
origin but not scale
[D]
neither scale nor origin
Answer: both origin and the scale
(16)
If the S.D. of the 1,2,3,4,5,………………..10 is σ, then the S.D. of 11,12,13,14,……………..20 is
none of these
[A]
10σ
[B]
σ + 10
[C]
σ
[D]
None of these
(17)
Standard deviation for n observations x1 , x2 , ..........., xn given their mean is x, is
[A]
∑(xi - x)
[B]
∑(xi - x)2 /n
[C]
√{∑(xi - x)2 /n}
[D]
√{∑xi2 /n + x2 }
(18)
If Cov(X,Y ) = 0 , then ρ(X,Y) is equal to
[A]
-1
[B]
0
[C]
1
[D]
±1
(19)
If x and y are independent variables, the Cov(x, y) equals
[A]
1
[B]
-1
[C]
0
[D]
None of these
(20)
If one of the observation is zero then geometric mean is
[A]
(Sum of observation)/n
[B]
(Multiplication of all observations)n
[C]
(Multiplication of all observations)1/n
[D]
0
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