1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements

1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.

2. Arithmetic mean > Median > Mode for a symmetric distribution.

Which of the above statements is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let the correlation coefficient between X and Y be 0.6. Random variables Z and W are defined as Z = X + 5 and W = $${Y \over 3}$$. What is the correlation coefficient between Z and W ?
A
0.1
B
0.2
C
0.36
D
0.6
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If all the natural numbers between 1 and 20 are multiplied by 3, then what is the variance on the resulting series?
A
99.75
B
199.75
C
299.25
D
399.25
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The mean of 100 observations is 50 and the standard deviation is 10. If 5 is subtracted from each observation and then it is divided by 4, then what will be the new mean and the new standard deviation respectively?
A
45, 5
B
11.25, 1.25
C
11.25, 2.5
D
12.5, 2.5
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