SAT Practice Exam

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Statistics: Mean, Median, Mode

What is the mean, median, mode of (6,-6,7,-9,10,-4,-6)

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Answer

Calculate Mean (Average) denoted as μ

μ  =	Sum of your number Set
	Total Numbers Entered

μ  =	ΣXi
	n

μ  =	6 - 6 + 7 - 9 + 10 - 4 - 6
	7

μ  =	-2
	7

μ = -0.2857

Calculate the Median (Middle Value)
Since our number set contains 7 elements which is an odd number, our median number is determined as follows:
Number Set = (n₁,n₂,n₃,n₄,n₅,n₆,n₇)
Median Number = Entry ½(n + 1)
Median Number = Entry ½(8)
Median Number = n₄

Therefore, we sort our number set in ascending order and our median is entry 4 of our number set highlighted in red:
(-9,-6,-6,-4,6,7,10)
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:
(-9,-6,-6,-4,6,7,10)
Our mode is denoted as: -6
Mode = -6