# What is the mean, median, and mode for 1,2,1,2,1,3,3,4,3?

Apr 19, 2015

Mean $= 2.22$
Median = $2$
Mode = $1 \mathmr{and} 3$

#### Explanation:

Mean:
$\overline{x} = \frac{1 + 2 + 1 + 2 + 1 + 3 + 3 + 4 + 3}{9} = \frac{20}{9} = 2.22$

Median: First we put the numbers in order from lowest to highest:

$1 , 1 , 1 , 2 , 2 , 3 , 3 , 3 , 4$

The median is the number that has the central position.

Median$= 2$

Mode: it is the number that appears the most times. In this case, both $1 \mathmr{and} 3$ appear the same number of times, so they are both modes.

May 3, 2015

Mean = $2.22$
Median = $2$
Mode = $1 \mathmr{and} 3$

#### Explanation:

For such questions, it helps to rewrite the list in order. So:

$\textcolor{red}{1 , 1 , 1} , 2 , 2 , \textcolor{red}{3 , 3 , 3} , 4.$

The mode is the number which appears most often.
Since both $1 \mathmr{and} 3$ appear three times each, there are two modes:
$\textcolor{red}{1 \mathmr{and} 3}$.

The median is the 'middle' number when the list is ranked in order. Since this list has 9 numbers, the middle number is the 5th one, which in this case is 2.

$1 , 1 , 1 , 2 , \textcolor{b l u e}{2} , 3 , 3 , 3 , 4.$

The mean is another word for average. To calculate the average, simply add up all the numbers and divide by the number of numbers in the list.
In this case we have $20 \div 9$, which equals $2.22 .$