1
JEE Main 2015 (Offline)
+4
-1
The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data, is :
A
15.8
B
14.0
C
16.8
D
16.0
2
JEE Main 2014 (Offline)
+4
-1
The variance of first 50 even natural numbers is
A
833
B
437
C
$${{437} \over 4}$$
D
$${{833} \over 4}$$
3
JEE Main 2013 (Offline)
+4
-1
All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given?
A
median
B
mode
C
variance
D
mean
4
AIEEE 2012
+4
-1
Let x1, x2,........., xn be n observations, and let $$\overline x$$ be their arithematic mean and $${\sigma ^2}$$ be their variance.

Statement 1 : Variance of 2x1, 2x2,......., 2xn is 4$${\sigma ^2}$$.
Statement 2 : : Arithmetic mean of 2x1, 2x2,......, 2xn is 4$$\overline x$$.
A
Statement 1 is false, statement 2 is true
B
Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
C
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
D
Statement 1 is true, statement 2 is false
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