# For these numbers: #2,2,0,5,1,4,1,3,0,0,1,4,4,0,1,4,3,4,2#, what is the (a) mean, (b) median, (c) variance and (d) standard deviation?

##### 1 Answer

Mean

Median

Variance

Standard Deviation

#### Explanation:

**Quick note:** I will deal with fractions until the end, because if I simplify my results too early then the results will be inaccurate.

The **median** is the middle number in an ordered data set. This data set has an odd number of elements, which means the median will be one of the elements. After I put the set in order, I simply count how many values there are (19), see that the number below 19 is 18 which divided by 2 equals 9, count 9 numbers, and the number next to that is the middle number. This happens to be 2.

The **mean** is the sum of all the values divided by the number of values. It looks like this:

From here, if you want an in-depth explanation of how to do this, see this answer.

To find the **variance** I find the average of the squared distances from the mean, which ends up looking like this:

To find the **standard deviation** I simply find the square root of the variance, which looks like this:

I hope I helped!