Numerical Measures of Central Tendency and Variability

Median and Mean

Question 1 out of 7.

The value that minimizes the sum of absolute deviations is the:

Question 2 out of 7.

The point on which a distribution would balance is the:

Question 3 out of 7.

The value that minimizes the sum of the squared deviations is the:

Question 4 out of 7.

When are the mean and the median the same?

When the distribution is very large
When the distribution is symmetric
When the distribution is skewed
When the number that minimizes the sum of the squared deviations is the same as the balancing point
Never

Question 5 out of 7.

For the numbers 17, 9, 20, 15, and 11, the number which minimizes the absolute deviations is:

__________

Question 6 out of 7.

For the numbers 20, 32, 18, 43, and 27, the number which minimizes the squared deviations is:

__________

Question 7 out of 7.

You have a distribution with a mean of 6.5, a median of 7, and a mode of 4. At what point does this distribution balance?

__________