Measures of Central Tendency

How do we find the median when there are exactly TWO numbers in the middle of the data set?

• We add up all of the numbers and divide by the number of numbers.

• Subtract the lower extreme from the upper extreme.

• Add the two numbers together and divide the sum by 2.

• Use the formula I = P x r x t

The following data set represents the responses from students when they were asked how many siblings they had: 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 7 What is the average number of siblings for this set of students?

• About 2.6

• 6

• About 18

• About 2.4

The salary of the employees in the office were $15,000; $18,000; $16,000; $14,000; $90,000; and $17,000.  What is the best measure of the central tendency of the salaries?

• Mean

• Median

• Mode

• Range

Find the median of these numbers:
4, 2, 7, 4, 3

• 2

• 5

• 7

• 4

What is the mode of the scores?

• 24

• 14

• 34

• 30

Find the median: 12, 15, 13, 18, 23, 5?

• 14

• 16

• 16.5

• 18

The heights of the starting 5 players on a basketball team are 60 inches, 67 inches, 64 inches, and 65 inches.  If the mean or balance point of the players is 65, what is the height of the 5th player?

• 70

• 69

• 61

• 68

In the last 5 games, Kevin Durant scored 22, 22, 18, 12, and 21 points. What is Durant's Mean (Average) score per game?

•  19 points per game

• 95 points per game

• 18.6 points per game

• 22 points per game

What measure of central tendency (mean, median or mode) would be best for the following set of data?
0, 89, 92, 97, 99, 100

• Mode, because it is the one that shows up the most.

• Median, because there is an outlier.  The outlier could be incorrect and would influence the mean too much.

• Mean, because there is not an outlier.  You should always use the mean.

• There is not a best measure of central tendency for this data.

What is the mode in the following numbers? [3, 24, 3, 7, 30, 1, 3, 7, 3]

• 3 and 7 both are modes

• 1 and 7 both are modes

• 3 only

• 7 only