Which of the following statements is true about variance? (2020)

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Question: Which of the following statements is true about variance? (2020)

Options:

Correct Answer: It is always positive

Exam Year: 2020

Solution:

Variance is always non-negative as it is calculated as the average of squared deviations from the mean.

Which of the following statements is true about variance? (2020)

Which of the following statements is true about variance? (2020)

Step 1: Understand what variance is. Variance measures how much the values in a set differ from the average (mean) of that set.
Step 2: Know that variance is calculated by taking the differences between each value and the mean, squaring those differences, and then averaging them.
Step 3: Realize that squaring a number (whether positive or negative) always results in a non-negative value (zero or positive).
Step 4: Since variance is the average of these squared differences, it cannot be negative.
Step 5: Conclude that variance is always non-negative.

No concepts available.