Question

if the standard deviation of the population is 35 and the sample size is 9 then the standard deviation of sampling distribution is

Answer 1

Sorry I didn't understand your question

Answer 2

The standard deviation of the sampling distribution is 11.67.

Step-by-step explanation:

Given,

Standard deviation = 35

Sample size = 9

We have to find the standard deviation of the sampling distribution.

Let $\sigma_x$ be a standard deviation of the sampling distribution, $\sigma -$ population standard deviation, $n -$ sample size, then

${\sigma}_x={\frac {{\sigma}} {\sqrt n}}$

$= {\frac {35} {\sqrt 9}}$

$={\frac {35} 3}\approx11.67$

The standard deviation of the sampling distribution is 11.67.

Standard deviation

The term "standard deviation" (or "σ") refers to a measurement of the data's deviation from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

In contrast, a high or low standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points are close to the mean.

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