Question

what is the mean? 15, 135, or 14what is the median? 14, 13, or 17what is the mode? 13, 21, or 15what is the range? 8, 0, or 21

Answer 1

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:

`\text{Mean}=\frac{\sum ^{}_{}x}{N}`

Where x are the number and N is the total amount of numbers.

Replacing terms:

`\text{Mean}=(13+13+13+13+14+14+16+18+21)/(9)=(135)/(9)`

Simplifying:

`\text{Mean}=15`

The median is given by the following relationship:

`\text{Median}=((n+1))/(2)`

Where n is the total amount of numbers.

Replacing terms:

`\text{Median}=(9+1)/(2)=(10)/(2)=5`

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