A set of numbers has a variance of 36. What is the standard deviation? (2019)

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Question: A set of numbers has a variance of 36. What is the standard deviation? (2019)

Options:

Correct Answer: 6

Exam Year: 2019

Solution:

Standard deviation is the square root of variance. Therefore, SD = √36 = 6.

A set of numbers has a variance of 36. What is the standard deviation? (2019)

A set of numbers has a variance of 36. What is the standard deviation? (2019)

Step 1: Understand that variance is a measure of how spread out the numbers in a set are.
Step 2: Know that standard deviation is a related measure that tells us how much the numbers typically differ from the average.
Step 3: Remember the formula: Standard Deviation (SD) is the square root of the variance.
Step 4: Since the variance given is 36, we need to find the square root of 36.
Step 5: Calculate the square root of 36, which is 6.
Step 6: Conclude that the standard deviation is 6.

Variance and Standard Deviation – Understanding the relationship between variance and standard deviation, where standard deviation is the square root of variance.