The mean of a data set is 10 and the variance is 4. What is the standard deviati

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Question: The mean of a data set is 10 and the variance is 4. What is the standard deviation? (2019)

Options:

Correct Answer: 2

Exam Year: 2019

Solution:

Standard deviation is the square root of variance. Therefore, SD = √4 = 2.

The mean of a data set is 10 and the variance is 4. What is the standard deviation? (2019)

The mean of a data set is 10 and the variance is 4. What is the standard deviation? (2019)

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 the standard deviation is calculated by taking the square root of the variance.
Step 4: Since the variance given in the question is 4, we need to find the square root of 4.
Step 5: Calculate the square root of 4, which is 2.
Step 6: Conclude that the standard deviation is 2.

Mean – The average value of a data set, calculated by summing all values and dividing by the number of values.
Variance – A measure of how much the values in a data set differ from the mean, calculated as the average of the squared differences from the mean.
Standard Deviation – A measure of the amount of variation or dispersion in a set of values, calculated as the square root of the variance.