Download PDF
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)
What should be the modal class
[A]
10-20
[B]
30-40
[C]
40-50
[D]
50-60
(2)
The abscissa of the point of interaction of the ‘less than type’ and of the ‘more than type’ cumulative frequency curve of grouped data gives
[A]
mode
[B]
median
[C]
mean
[D]
all of the above
(3)
Construction of a cumulative frequency table is useful determining the
[A]
mean
[B]
mode
[C]
medien
[D]
all of the above
(4)
The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is
[A]
2
[B]
2.57
[C]
3
[D]
3.57
(5)
The mean of 100 observations is 50 and their standard deviation is 5. The sum of all squares of all the observations is
[A]
50,000
[B]
250,000
[C]
252500
[D]
255000
(6)
Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, the variance of the numbers so obtained is
[A]
6.5
[B]
2.87
[C]
3.87
[D]
8.25
(7)
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
(8)
The standard deviation of first 10 natural numbers is
[A]
5.5
[B]
3.87
[C]
2.97
[D]
2.87
(9)
If the S.D. of a set of observations is 8 and if each observation is divided by −2, the S.D. of the new set of observations will be
[A]
−4
[B]
−8
[C]
8
[D]
4
(10)
Let x1, x2 , ...,xn be values taken by a variable X and y1, y2, ..., yn be the values taken by a variable Y such that yi= axi+ b, i = 1, 2,..., n. Then,
[A]
Var (Y) = a2 Var (X)
[B]
Var (X) = a2 Var (Y)
[C]
Var (X) = Var (X) + b
[D]
none of these
Answer: Var (Y) = a2 Var (X)
(11)
The sum of the squares deviations for 10 observations taken from their mean 50 is 250. The coefficient of variation is
[A]
10 %
[B]
40 %
[C]
50 %
[D]
none of these
(12)
The mean deviation of the numbers 3, 4, 5, 6, 7 from the mean is
[A]
25
[B]
5
[C]
1.2
[D]
0
(13)
A batsman scores runs in 10 innings as 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44. The mean deviation about mean is
[A]
8.6
[B]
6.4
[C]
10.6
[D]
None of these
(14)
The mean deviation from the median is
[A]
equal to that measured from another value
[B]
maximum if all observations are positive
[C]
greater than that measured from any other value.
[D]
less than that measured from any other value.
Answer: less than that measured from any other value.
(15)
The mean deviation of the data 2, 9, 9, 3, 6, 9, 4 from the mean is
[A]
2.23
[B]
2.57
[C]
3.23
[D]
3.57
(16)
Mean deviation for n observations x1 , x2 , ..........., xn from their mean x is given by
[A]
∑(xi - x) where (1 ≤ i ≤ n)
[B]
{∑|xi - x|}/n where (1 ≤ i ≤ n)
[C]
∑(xi - x)2 where (1 ≤ i ≤ n)
[D]
{∑(xi - x)2 }/n where (1 ≤ i ≤ n)
Answer: {∑|xi - x|}/n where (1 ≤ i ≤ n)
(17)
One of the methods of determining mode is
[A]
Mode = 2 Median - 3 Mean
[B]
Mode = 2 Median + 3 Mean
[C]
Mode = 3 Median - 2 Mean
[D]
Mode = 3 Median + 2 Mean
Answer: Mode = 3 Median - 2 Mean
(18)
If the mean of the following data is 20.6, then the value of p is
x: 10 15 p 25 35
f: 3 10 25 7 5
[A]
30
[B]
20
[C]
25
[D]
10
(19)
In a symmetric distribution
[A]
Mean ≠ Median = Mode
[B]
Mean = Median ≠ Mode
[C]
Mean ≠ Median ≠ Mode
[D]
Mean = Median = Mode
Answer: Mean = Median = Mode
(20)
The algebraic sum of the deviation of 20 observations measured from 30 is 2. So, the mean of observations is
[A]
30.0
[B]
30.1
[C]
30.2
[D]
30.3
Take Mock Tests
Chapters