Question

The standard deviation tells us a. the average value of the scores. b. the relative standing of a particular score. c. the skewness of the distribution. d. the dispersion of the scores.

Answer 1

We can say that the standard deviation tells us the dispersion of the scores, making option D the correct choice.

What is the standard deviation?

A standard deviation (or σ) is a measure of how widely distributed the data is about the mean (μ). A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out. A standard deviation around 0 suggests that data points are close to the mean, whereas a high or low standard deviation indicates that data points are above or below the mean, respectively.

We use the following formula to compute the standard deviation:

$\sigma = \sqrt\frac{{\sum_{i=1}^{N}\left | x_i - \mu \right | }^2}{N}$

In this formula, σ is the standard deviation, $x_i$ is the data point in the set we are solving for, μ is the mean, and N is the total number of data points.

How to solve the question?

In the question, we are asked to tell what standard deviations tell us from the given options.

From the above discussion, we can say that the standard deviation tells us the dispersion of the scores, making option D the correct choice.

Learn more about the standard deviation at

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Answer 2

Answer:

D.

Step-by-step explanation:

Standard deviation tells us the dispersion of data/scores around the mean.