1
AP EAPCET 2025 - 21st May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the variance of the first $n$ natural numbers is 10 and the variance of the first $m$ even natural numbers is 16 , then $n: m=$

A

$9: 5$

B

$7: 3$

C

$11: 7$

D

$5: 8$

2
AP EAPCET 2025 - 21st May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The variance of ungrouped data $2,12,3,11,5,10,6,7$, is

A

11.875

B

11

C

12

D

10.765

3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the mean of the data $7,8,9,7,8,7, \lambda$ and 8 is 8 , then variance of the data is equal to
A
2
B
$7 / 8$
C
$9 / 8$
D
1
4
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Based on the following statements, choose the correct option.

Statement I The variance of the first $n$ even natural numbers is $\frac{n^2-1}{4}$.

Statement II The difference between the variance of the first 20 even natural numbers and their arithmetic mean is 112 .

A
Both Statements are true and II is a correct explanation of I
B
Both Statements are true but II is not a correct explanation of 1
C
Statement I is true and Statement II is false
D
Statements I is false and Statement II is true

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