SAT Practice Exam

« Previous Problem - Horizontal and Vertical Lines    Next Problem - Probability Basics »

Statistics: Mean, Median, Mode

What is the mean, median, mode of (4,-3,8,4,-3)

---

Answer

Calculate Mean (Average) denoted as μ

μ  =	Sum of your number Set
	Total Numbers Entered

μ  =	ΣXi
	n

μ  =	4 - 3 + 8 + 4 - 3
	5

μ  =	10
	5

μ = 2

Calculate the Median (Middle Value)
Since our number set contains 5 elements which is an odd number, our median number is determined as follows:
Number Set = (n₁,n₂,n₃,n₄,n₅)
Median Number = Entry ½(n + 1)
Median Number = Entry ½(6)
Median Number = n₃

Therefore, we sort our number set in ascending order and our median is entry 3 of our number set highlighted in red:
(-3,-3,4,4,8)
Median = 4

Calculate the Mode - Highest Frequency Number

The highest frequency of occurence in our number set is 2 times by the following numbers in green:
(-3,-3,4,4,8)
Our mode is denoted as: -3 and 4
Mode = -3 and 4