If the data set has a mean of 50 and a variance of 16, what is the standard devi

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Question: If the data set has a mean of 50 and a variance of 16, what is the standard deviation?

Options:

Correct Answer: 4

Solution:

Standard Deviation = √Variance = √16 = 4.

If the data set has a mean of 50 and a variance of 16, what is the standard deviation?

If the data set has a mean of 50 and a variance of 16, what is the standard deviation?

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 the formula to find the standard deviation: Standard Deviation = √Variance.
Step 4: In this case, the variance is given as 16.
Step 5: Calculate the square root of the variance: √16.
Step 6: Find the square root of 16, which is 4.
Step 7: Conclude that the standard deviation is 4.

Mean and Variance – Understanding the relationship between mean, variance, and standard deviation in a data set.
Standard Deviation Calculation – Calculating standard deviation as the square root of variance.