Let $S$ be the standard deviation of $n$ observations. Each of the $n$ observations is multiplied by a constant $C$ . Then the standard deviation of the resulting number is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$S \sqrt{C}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
CS

If each of $n$ observations are multiplied by a constant C, the standard deviation also gets multiplied by C.

Suggest Corrections

Similar questions

Let $S$ be the standard deviation of $n$ observations. Each of the $n$ observations is multiplied by a constant $C$ . Then the standard deviation of the resulting number is

The standard deviation of 20 observations is $\sqrt{5}$ If each observation is multiplied by 2, find the standard deviation and variance of the resulting observations.

Q. Let

x_{1}, x_{2}, . . . . . x_{n}

n

observations with mean

m

and standard deviation

s

. Then the standard deviation of the observations

a x_{1}, a x_{2}, . . . . . a x_{n}

, is

The mean and standard deviation of six observations are 8 and 4, respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations.

Let S be the standard deviation of n observations. Each of the n observations is multiplied by a constant C. Then the standard deviation of the resulting number is

The correct option is B CS If each of n observations are multiplied by a constant C, the standard deviation also gets multiplied by C.

Let $S$ be the standard deviation of $n$ observations. Each of the $n$ observations is multiplied by a constant $C$ . Then the standard deviation of the resulting number is

The correct option is B
CS

If each of $n$ observations are multiplied by a constant C, the standard deviation also gets multiplied by C.