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6.
The standard deviation of 10 values is 4. If each value is increased by 3, then find the variance of the new set of values
  • A.
    49
  • C.
    19
  • B.
    16
  • D.
    7
  • Answer & Explanation
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Answer : [A]
Explanation :
S.D. of 10 values = 4
Increment in each value = 3
S.D. is unchanged by the increment in the values.
 
  σ = 4     Variance = σ2 + 42 = 16            
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7.
In the following table find, the average score of the students
Marks (X) 20 30 40 50 60 70
No. of students (f) 8 12 20 10 6 4
  • A.
    39
  • C.
    42
  • 40
  • D.
    41
  • Answer & Explanation
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Answer : [B]
Explanation :
Average production of A =
32 + 48 + 50 + 36 + 34
5
=
200
5
 = 40
Average production of B =
25 + 40 + 35 + 75 + 25
5
=
200
5
 = 40
If we compare the least and highest value the variation is less in A and more in B.
 
  A is more consistent than B. But the average of both are equal.
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8.
The mean of the runs scored by three batsman A,B and C in the same series of innings are 58, 48 and 147 respectively. The S.P. of their runs are 15, 12 and 2 respectively. Who is the most consistent batsman?
  • A.
    C
  • C.
    A
  • B.
    B
  • D.
    Cannot be determined
  • Answer & Explanation
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Answer : [A]
Explanation :
C.V. for A =
15
58
 x 100 = 25.86%
C.V. for B =
12
48
 x 100 = 25%
C.V. for C =
2
14
 x 100 = 14.29%
C.V for C is the least. Hence the batsman C is more consistent.
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9.
Sangeetha is seven years older than Divya. Fifteen years ago, Divya’s age was three quarters of Sangeetha’s age. Find the age of Sangeetha now.
  • A.
    44
  • C.
    42
  • B.
    43
  • D.
    41
  • Answer & Explanation
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Answer : [D]
Explanation :
Mean =
Ʃfx
Ʃf
 
  Ʃfx = 20 x 8 + 30 x 12 + 40 x 20 + 50 x 10 + 60 x 6 + 70 x 4  
  = 160 + 360 + 800 + 500 + 360 + 280  
  = 2460  
Mean =
Ʃfx
Ʃf
=
2460
60
 = 41
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10.
The median of the following data: 31, 35, 27, 29, 43, 37, 41, 35, 30
  • A.
    31
  • C.
    37
  • B.
    30
  • D.
    35
  • Answer & Explanation
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Answer : [D]
Explanation :
Arranging the given data in ascending order,
27, 29, 30, 31, 35, 37, 41, 43
   
Here the number of terms = 9 which is old
 
  Median =  
n + 1
2
  th term =
10
2
 = 5th term      
 
  Median = 35
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