What is the variance of the following numbers: 5, 5, 5, 5? (2019)

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Question: What is the variance of the following numbers: 5, 5, 5, 5? (2019)

Options:

Correct Answer: 0

Exam Year: 2019

Solution:

All values are the same, so variance = 0.

What is the variance of the following numbers: 5, 5, 5, 5? (2019)

What is the variance of the following numbers: 5, 5, 5, 5? (2019)

Step 1: List the numbers you have: 5, 5, 5, 5.
Step 2: Find the average (mean) of these numbers. Since all numbers are the same, the average is 5.
Step 3: Subtract the average from each number to find the difference: 5 - 5 = 0 for each number.
Step 4: Square each of these differences: 0^2 = 0 for each number.
Step 5: Find the average of these squared differences. Since all squared differences are 0, the average is also 0.
Step 6: The variance is the average of the squared differences, which is 0.

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