1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
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The mean of the series x1, x2...xn is x̅ If xn is replaced by k, then what is the new mean?
1
x̅ - xn + k
2
$\rm \frac{n\bar x-\bar x+k}{n}$
3
$\rm \frac{\bar x-x_n-k}{n}$
4
$\rm \frac{n\bar x-x_n+k}{n}$
2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained as $y = a + bx$, then what is the value of $2a + 15b$?

A

6

B

11

C

17

D

21

3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If two random variables $X$ and $Y$ are connected by relation $\frac{2 X-3 Y}{5 X+4 Y}=4$ and $X$ follows Binomial distribution with parameters $n=10$ and $p=\frac{1}{2}$, then what is the variance of $Y$ ?
A

$\frac{810}{361}$

B

$\frac{9}{19}$

C

$\frac{21}{361}$

D

$\frac{121}{361}$

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

An edible oil is sold at the rates 150, 200, 250, 300 rupees per litre in four consecutive years. Assuming that an equal amount of money is spent on oil by a family in every year during these years, what is the average price of oil in rupees (approximately) per litre?

A

210

B

220

C

230

D

240

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