# Fitness Mia's workouts lasted 1.0 h, 1.5 h, 2.25 h, 1.5 h, 2.4 h, and 2.1 h. How do you find the mean, median, and mode of these times?

Nov 1, 2016

The mean is $1.79$, the median is $1.8$, and the mode is $1.5$.

#### Explanation:

To find the mean, add the numbers together and divide that sum by $6$, which is how many numbers are in the set.

$\frac{1.0 + 1.5 + 2.25 + 1.5 + 2.4 + 2.1}{6} = \frac{10.75}{6} = 1.791 \overline{6}$

So, the mean is approximately $1.79$.

To find the median, order the numbers from least to greatest and find the center number. Since there are an even number of values in this set, the center with be equal to the average of the middle two numbers.

Ordered data: $1.0 , 1.5 . 1.5 , 2.1 , 2.25 , 2.4$

Median: $\frac{1.5 + 2.1}{2} = \frac{3.6}{2} = 1.8$

So, the median is $1.8$.

The mode is the number (or numbers) which appears most frequently in the set. Sometimes there is one mode, sometimes there are several modes, and sometimes there is no mode. For this data set, $1.5$ appears more often than any other value.

So, the mode is $1.5$.