13. Advanced: Standard Deviation and Variance

Quiz 5

Assume d1 and d2 are datasets both measured in the same units. We know that the standard deviation of d1 is 5 and the variance of d2 is 36, which of the following are certainly true. Mark all that apply.

Remember the Standard Deviation is the square root of the variance. So if the Variance is 4 the Standard Deviation would be 2

SOLUTION:
  • The variance for d2 is larger than for d1.
  • The standard deviation for d2 is larger than for d1.

Quiz 6

If a dataset has a standard deviation of zero, which of the following MUST be true?

SOLUTION: All the data points must be the same.

For each of the below: If the statement is true, mark the box next to the statement.

SOLUTION:
  • If two datasets have the same variance, they will also have the same standard deviation.