EXPLANATION
Rearranging the numbers from least to greater:
13, 13, 13, 13, 14, 14, 16, 18, 21
The mean is give by the following relationship:
[tex]\text{Mean}=\frac{\sum ^{}_{}x}{N}[/tex]
Where x are the number and N is the total amount of numbers.
Replacing terms:
[tex]\text{Mean}=\frac{13+13+13+13+14+14+16+18+21}{9}=\frac{135}{9}[/tex]
Simplifying:
[tex]\text{Mean}=15[/tex]
The median is given by the following relationship:
[tex]\text{Median}=\frac{(n+1)}{2}[/tex]
Where n is the total amount of numbers.
Replacing terms:
[tex]\text{Median}=\frac{9+1}{2}=\frac{10}{2}=5[/tex]
So, the fifth number is the median ---> median = 14
The mode is the most frequent value, in this case it's the number 13. ---> mode = 13
The range is the difference between the lowest and highest value.
The lowest value is 13
The highest value is 21
Subtracting the lowest value from the highest.
21 - 13 = 8
Range = 8
