Statistics: Mean, Median, Mode
What is the mean, median, mode of (-9,-8,7,-7,-2,7,10,7)Answer
Calculate Mean (Average) denoted as μ
| μ = | Sum of your number Set |
| Total Numbers Entered |
| μ = | ΣXi |
| n |
| μ = | -9 - 8 + 7 - 7 - 2 + 7 + 10 + 7 |
| 8 |
| μ = | 5 |
| 8 |
μ = 0.625
Calculate the Median (Middle Value)
Since our number set contains 8 elements which is an even number, our median number is determined as follows:
Number Set = (n1,n2,n3,n4,n5,n6,n7,n8)
Median Number 1 = ½(n)
Median Number 1 = ½(8)
Median Number 1 = Number Set Entry 4
Median Number 2 = Median Number 1 + 1
Median Number 2 = Number Set Entry 4 + 1
Median Number 2 = Number Set Entry 5
For an even number set, we average the 2 median number entries:
Median = ½(n4 + n5)
Therefore, we sort our number set in ascending order and our median is the average of entry 4 and entry 5 of our number set highlighted in red:
(-9,-8,-7,-2,7,7,7,10)
Median = ½(-2 + 7)
Median = ½(5)
Median = 2.5
Calculate the Mode - Highest Frequency Number
The highest frequency of occurence in our number set is 3 times by the following numbers in green:(-9,-8,-7,-2,7,7,7,10)
Our mode is denoted as: 7
Mode = 7
