Statistics CBSE Questions & Answers

Statistics

This is Mathematics Class 11 Statistics CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If the correlation coefficient between two variables is 1, then the two least square lines of regression are
  • A
    at right angles
  • B
    coincident
    Correct
  • C
    parallel
  • D
    none of these
2
If covariance between two variables is 0, then the correlation coefficient between them is
  • A
    nothing can be said
  • B
    negative
  • C
    0
    Correct
  • D
    positive
3
Ram spends equal amounts on purchasing three kinds of pens being sold at Rs.5 , Rs. 10 and Rs. 15 per piece . Average cost of each pen is
  • A
    Rs. 10
  • B
    Rs. 90/11
    Correct
  • C
    none of these
  • D
    Rs. 9
4
The coefficient of correlation between two variables is independent of
  • A
    both origin and the scale
    Correct
  • B
    scale but not origin
  • C
    origin but not scale
  • D
    neither scale nor origin
5
Mean of the first n terms of the A.P. a + ( a + d ) + ( a + 2d ) + ………is
  • A
    a + ( n - 1 )d
  • B
    a + nd
  • C
    \({\rm{a }} + {\rm{ nd}}/{\rm{2}}\)
  • D
    \(a + {{\left( {n - 1} \right)d} \over 2}\)
    Correct
6
If the S.D. of the 1,2,3,4,5,………………..10 is \(\sigma \), then the S.D. of 11,12,13,14,……………..20 is
  • A
    \(\sigma \) + 10
  • B
    \(\sigma \)
    Correct
  • C
    none of these
  • D
    10\(\sigma \)
7
Regression coefficient of X on Y is 0.25 , then the regression coefficient of Y on X is
  • A
    less than 4
  • B
    lies in ( 0 , 4 ]
    Correct
  • C
    4
  • D
    greater than 4
8
If r is the correlation coefficient , then
  • A
    \({\text{r }} \leq {\text{ 1}}\)
  • B
    \({\text{r }} \geq {\text{ 1}}\)
  • C
    \({\text{I r I }} \geq {\text{ 1}}\)
  • D
    \({\text{I r I }} \leq {\text{ 1}}\)
    Correct
9
The coefficient of variation is computed by
  • A
    \({{Mean} \over {S.D.}}\)
  • B
    \({{Mean.} \over {S.D}}X100\)
  • C
    \({{S.D.} \over {Mean}}\)
    Correct
  • D
    \({{S.D.} \over {Mean}}X100\)
10
If Cov(X,Y ) = 0 , then \(\rho \left( {X,Y} \right)isequalto\)
  • A
    \( \pm \)1
  • B
    - 1
  • C
    1
  • D
    0
    Correct
11
Mode of the data 3,2,5,2,3,5,6,6,5,3,5,2,5 is
  • A
    3
  • B
    5
    Correct
  • C
    6
  • D
    4
12
The median of 10,14,11,9,8,12,6 is
  • A
    11
  • B
    10
    Correct
  • C
    14
  • D
    12
13
If the mode of a data is 18 and the mean is 24, then median is
  • A
    24
  • B
    21
  • C
    22
    Correct
  • D
    18
14
Which of the following is not a measure of dispersion ?
  • A
    mode
    Correct
  • B
    standard deviation
  • C
    mean deviation
  • D
    variance
15
Product of n positive numbers is unity. The sum of these numbers cannot be less than
  • A
    n
    Correct
  • B
    none of these
  • C
    \({n^2}\)
  • D
    1