Numerical Measures of Central Tendency and Variability

Question 1 out of 7.

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

• mean
• median
• mode

Question 2 out of 7.

The point on which a distribution would balance is the:

• mean
• median
• mode

Question 3 out of 7.

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

• mean
• median
• mode

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?

__________