If the mean of a data set is 15 and the standard deviation is 5, what is the var
Practice Questions
Q1
If the mean of a data set is 15 and the standard deviation is 5, what is the variance? (2022)
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15
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25
Questions & Step-by-Step Solutions
If the mean of a data set is 15 and the standard deviation is 5, what is the variance? (2022)
Step 1: Understand that variance is a measure of how spread out the numbers in a data set are.
Step 2: Know that the standard deviation is a value that tells us how much the numbers in the data set typically differ from the mean.
Step 3: Remember that variance is calculated by squaring the standard deviation.
Step 4: Since the standard deviation given is 5, we need to square this number.
Step 5: Calculate 5 squared, which is 5 * 5 = 25.
Step 6: Conclude that the variance of the data set is 25.
Mean and Standard Deviation – Understanding the mean as the average of a data set and the standard deviation as a measure of the amount of variation or dispersion in a set of values.
Variance – Variance is defined as the square of the standard deviation, representing the spread of a set of data points.
