1
KCET 2024
MCQ (Single Correct Answer)
+1
-0

Let $a, b, c, d$ and $e$ be the observations with mean $m$ and standard deviation $S$. The standard deviation of the observations $a+k$, $b+k, c+k, d+k$ and $e+k$ is

A
$k S$
B
$S+k$
C
$\frac{S}{k}$
D
$S$
2
KCET 2023
MCQ (Single Correct Answer)
+1
-0

The mean of 100 observations is 50 and their standard deviation is 5. Then, the sum of squares of all observations is

A
252500
B
250000
C
255000
D
50000
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If the standard deviation of the numbers $$-1, 0,1, k$$ is $$\sqrt{5}$$ where $$k>0$$, then $$k$$ is equal to

A
$$4 \sqrt{\frac{5}{3}}$$
B
$$\sqrt{6}$$
C
$$2 \sqrt{\frac{10}{3}}$$
D
$$2 \sqrt{6}$$
4
KCET 2021
MCQ (Single Correct Answer)
+1
-0

The standard deviation of the numbers $$31,32,33 \ldots 46,47$$ is

A
$$\sqrt{\frac{17}{12}}$$
B
$$\sqrt{\frac{47^2-1}{12}}$$
C
$$2 \sqrt{6}$$
D
$$4 \sqrt{3}$$
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