# Central Tendency

Words of “Wiz-dom”There are three measures of central tendency that the test writer expects you to know: mean (average), median, and mode. There is not a pattern that compares them. Each can be larger or smaller than the other two. For example, the mean could be the smallest, the middle or the largest of the three. The same is true of the other two.

#### What is the median of the scores for the math class?

Mode: The score that occurs most frequently in a group of scores. There can be more than one most common score. However, if all scores occur an equal number of times, there is no mode.

## Sample Questions

3.  The School of Wiz-dom basketball team had an average (mean) score of 71 points for its first 5 games of the season. What was the total number of points they had scored?

(A) 355
(B) 365
(C) 375
(D) 385
(E) 425

15. Five truck drivers averaged using 62 gallons of fuel driving between Wiz-land and Bonterra. Four of the truckers used an average of 60 gallons. How many gallons of fuel did the fifth driver use?

(A) 60
(B) 61
(C) 62
(D) 66
(E) 70

19.  An alchemist averaged using 88 ingredients in her first 5 potions and 96 ingredients in the next 3. What was her average number of ingredients?

(A) 88
(B) 90
(C) 91
(D) 92
(E) 94

12.  On a biology quiz, 7 students got an 80, 10 got a 90, and 3 got a 100. What was the average score for these students?

(A) 80
(B) 88
(C) 90
(D) 92
(E) 100

15. Four of the five knights who guard The Wiz’s personal tower average 5 feet 10 inches tall. How tall is the fifth knight if all five knights average 6 feet tall?

(A) 6 feet
(B) 6 feet and 2 inches
(C) 6 feet and 4 inches
(D) 6 feet and 6 inches
(E) 6 feet and 8 inches