Statistics : Standard Deviation

Study concepts, example questions & explanations for Statistics

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Example Questions

Example Question #1 : Statistics

Calculate the standard deviation of the following data set:

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

The standard deviation is found by using the following formula:

We will start by identifying the components of this equation:

Now, we can use this information to calculate the standard deviation.

First, we need to identify  and . There are six variables in the data set; therefore, we can write the following:

Next, we need to calculate the mean:

Second, we need to find the square of the absolute of each variable minus the mean: 

Last, let's substitute these values into the standard deviation formula and solve.

Solve.

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