# What is the mean, median, and mode of the numbers 3.2, 3.5, 3.2, 3.8, 7.2, 4.2?

Aug 15, 2016

See explanation.

#### Explanation:

$\text{mean" = "sum of all the numbers"/"number of numbers in a collection}$

$\text{mean} = \frac{3.2 + 3.5 + 3.2 + 3.8 + 7.2 + 4.2}{6} = \frac{25.1}{6} = 4.18 \to$ $3$ s.f.

Mode is the most common number in your data set/sample,which in this case is $3.2$, since it comes up twice in your data set while the other numbers are only expressed once.

To find the median, arrange the numbers in your set in order, from smallest to largest.So

$3.2 , 3.2 , 3.5 , 3.8 , 4.2 , 7.2$

If you have an odd number of numbers in your data set, the formula is $\frac{n + 1}{2}$. If you have an even number of numbers in your data set, the formula is half the middle number and the following number.

In this case, you have $6$ numbers so it's

$0.5 \cdot \left(3.5 + 3.8\right) = 3.65$