eozoischgc

2022-01-17

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?

### Answer & Explanation

Elaine Verrett

Explanation:
To find the mean, add the numbers together and divide that sum by 6, which is how many numbers are in the set.
$\frac{1.0+1.5+2.25+1.5+2.4+2.1}{6}=\frac{10.75}{6}=1.79$
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.

aquariump9

Use the formula given below to find the average hour for Mia's workout.

Using the given:
$m=\frac{1.0+1.5+1.5+2.4+2.1}{6}$
$m=\frac{10.75}{6}$
m=1.8
The average time for Mia's workout is 1.8 hours.
Rewrite the set of given values in ascending order to find the median:
1.0, 1.5, 1.5, 2.1, 2.25, 2.4
Since, the number of the given values are even, get the average of the two middle most number:
$median=\frac{1.5+2.1}{2}=\frac{3.6}{2}=1.8$
The median hour of Mia's workout is 1.8.
Mode is the value that frequently occurs in a given set. In this given 1.5 is the mode, since it occurs twice. There is one mode.
Result:
Mean = 1.8, Median = 1.8, One mode

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