Question

If everyone in a class scored 100 on a quiz, what is the standard deviation of quiz scores?

Answer 1

The standard deviation of quiz scores is 0.

What is the standard deviation?

• The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values.
• A low standard deviation indicates that the values of the set tend to be close to the mean (also known as the expected value), whereas a high standard deviation indicates that the values are spread out over a larger range.

To find the standard deviation:

• Let, the number of students = n
• x = 100
• Mean = n×x/n=x
• Variance = $\frac{\sum(\bar{x}-x)^2}{n}$
• Variance = (x₁ - x)² + (x₂ - x)² + (x₃ - x)²/n
• V = 0
• Standard variance = √0

Therefore, the standard deviation of quiz scores is 0.

know more about standard deviation here:

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