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12th Grade > Mathematics

STATISTICS AND COLLECTION OF STATISTICAL DATA MCQs

Statistics, Introduction To Statistics, Collection Of Data (11th And 12th Grade)

Total Questions : 105 | Page 6 of 11 pages
Question 51. In which of the following modes of data collection is the possibility of influencing the responder the most?
  1.    Personal interview
  2.    Telephonic interview
  3.    Mailing questionnaire
  4.    Equal for all modes
 Discuss Question
Answer: Option A. -> Personal interview
:
A
The possibility of influencing the responder is most in the 'personal interview' mode because there is direct personal interaction involved.
Question 52. Reliability of sampling data depends on ___ .
  1.    size of the sample
  2.    method of sampling
  3.    training of enumerators
  4.    all of these
 Discuss Question
Answer: Option D. -> all of these
:
D
Reliability of sampling data depends on all of the mentioned factors.
Question 53. Which method of data collection does not allow for the clarification of ambiguous questions?
  1.    Telephonic interview
  2.    Mailing questionnaire
  3.    Personal interview
  4.    None of these
 Discuss Question
Answer: Option B. -> Mailing questionnaire
:
B
In the mailing questionnaire method, since there is no verbal communication between the responder and the enumerator, ambiguous questions cannot be clarified.
Question 54. How often is the Census of India carried out?
  1.    Every year
  2.    Once every five years
  3.    Once every ten years
  4.    Once every twenty years
 Discuss Question
Answer: Option C. -> Once every ten years
:
C
Census of India is carried out once every 10 years.
Question 55. ‘Mailed Questionnaire Method’ can be used even if the respondents are illiterate.
  1.    True
  2.    False
 Discuss Question
Answer: Option B. -> False
:
B
In the mailed questionnaire method, the respondents need to read and understand the questions and respond appropriately. Hence, this method cannot be used if the respondents are illiterate.
Question 56. The mean deviation from the mean for the set of observations – 1, 0, 4 is
  1.    less than 3
  2.    less than 1 
  3.    greater than 2.5
  4.    greater than 4.9
 Discuss Question
Answer: Option A. -> less than 3
:
A
¯x=1+0+43=1.Mean Deviation=13[|11|+|01|+|41|]=2
Question 57. If the coefficient of variation and standard deviation of a distribution are 2 and 0.4 respectively, then mean of the distribution is
  1.    40
  2.    20
  3.    10
  4.    8
 Discuss Question
Answer: Option B. -> 20
:
B
C.V=2;σ=0.4(given)C.V=100×s.dmean2=100×0.4meanMean=402=20
Question 58. The means of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2, and 6, then the other two are:
  1.    2 and 9
  2.    3 and 8
  3.    4 and 7
  4.    5 and 6
 Discuss Question
Answer: Option C. -> 4 and 7
:
C
Let the other two numbers be
αandβ.
¯x=4,N=5and(x¯x)2N=5.2(x¯x)2=(5.2)5(x¯x)2=26(14)2+(24)2+(64)2+(α4)2+(β4)2=26(α4)2+(β4)2=9Also,1+2+6+α+β5=4α+β=209=11Clearly4,7onlysatisfytheaboveequationinα,β.Hencerequirednumbersare4,7.
Question 59. The S.D. of scores 1, 2, 3, 4, 5 is:
  1.    √2
  2.    √3
  3.    25
  4.    35
 Discuss Question
Answer: Option A. -> √2
:
A
Here¯x=1+2+3+4+55=3
xx¯x(x¯x2)124211300411524(x¯x)2=10
S.D=σ=(x¯x)N=105=2
Question 60. Mean deviation of the series a, a + d, a + 2d, a + 2nd from its mean is
  1.    (n+1)d(2n+1)
  2.    (nd)(2n+1)
  3.    n(n+1)d(2n+1)
  4.    2(n+1)dn(n+1)
 Discuss Question
Answer: Option C. -> n(n+1)d(2n+1)
:
C
¯x=2n+12(a+a+2nd))(2n+1)=a+nd|x¯x|=2d(1+2+.....+n)=n(n+1)dM.D=n(n+1)d(2n+1)

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