Chapter 7: Q. 35 (page 429)

An unknown distribution has a mean of $100$ , a standard deviation of $100$ , and a sample size of $100$ . Let $X =$ one object of interest.
What is the standard deviation of $Σ X$ ?

Short Answer

Expert verified

The standard deviation of $\sum X$ is $1000$ .

Step by step solution

Given Information

According to the provided details, the mean of the unknown distribution is $100$ , the standard deviation is $100$ and the sample size is $100$ objects of interest.

Explanation

The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Mean is the mathematical average of a set of two or more numbers.

Thus the standard deviation of $\sum x$ is given as:

$= (\sqrt{n}) (σ_{X})$

$= \sqrt{100} \times 100$

$= 1000$

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An unknown distribution has a mean of $100$ , a standard deviation of $100$ , and a sample size of $100$ . Let $X =$ one object of interest.
What is the standard deviation of $Σ X$ ?

Short Answer

Step by step solution

Given Information

Explanation

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An unknown distribution has a mean of 100, a standard deviation of 100, and a sample size of 100. Let X=one object of interest.What is the standard deviation of ΣX?

Short Answer

Step by step solution

Given Information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Pure Maths

Logic and Functions

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

An unknown distribution has a mean of $100$ , a standard deviation of $100$ , and a sample size of $100$ . Let $X =$ one object of interest.
What is the standard deviation of $Σ X$ ?