To find the mean of the data set, all of the data values must be added together.

In this set provided, 

$\displaystyle \small 1+2+3+4...+100 = 155$.

The next step is to divide the sum of the data values by the amount of data values, $\displaystyle \small 155\div11$.

Since the answer to this is a repeating decimal, leaving it in the form of a fraction would suffice. Remember, fractions can be read as division problems, thus division problems can be written as fractions.

So $\displaystyle \small 155\div 11$ is equivalent to $\displaystyle \small \frac{155}{11}$. 

The mean is defined as the average of the group of data.

Using the data set provided, to find the mean all we must do is add up the data and divide by the amont of data values, 

$\displaystyle \small \small mean = \frac{x_{1}+x_{2} ....+x_{9}}{n}$, 

n = amt of data values, x = data value.

Now that we have the formula we just plug in the numbers,

$\displaystyle \small mean = \frac{6+6+9+10+15+16+20+30+48}{9}$  

$\displaystyle mean=\small \frac{160}{9}$.  

To find the mean, or the average, all that is required is to add up the values and then divide by the number of data pieces in then. In this data set, we have only four pieces of data. Our equation should look like this: 

$\displaystyle \small \frac{12+21+32+42}{4}$.

Once the values our added, our fraction can be simplified to: 

$\displaystyle \small \small \frac{107}{4}$.

This is our mean. 

This problem is meant to divert our attention to the large numbers present. Finding the mode of a data set requires no calculation. The mode is simply the number that appears the most often.

In this set, each number appears only once, except for the number $\displaystyle \small 0.$ 

That, therefore, is the mode.

But this question is asking if the mode = x, and the mode is $\displaystyle \small 0$.

Then $\displaystyle \small 0+ 30 = 30.$

In order to find the mean or average number of slices of pizza eaten, we need to find the total number of slices eaten and divide it by the number of students.

Add the slices of pizza eaten by each student.

 $\displaystyle 4+3+3+2+2=14$

Then you divide by the number of students in the group.

$\displaystyle \frac{14}{5}$

The average number of slices eaten was$\displaystyle \frac{14}{5}$.

Provided with this set of data:  

$\displaystyle \small 12,33,23,43,23$,

to find the mean the first step is to add up all of the numbers in the data set: 

$\displaystyle \small 12+33+23+43+23 = 134.$ 

Now we divide that number by the number of data pieces there are, $\displaystyle \small 5.$ 

So, $\displaystyle \small \frac{134}{5}$ is the mean of this data set. 

Using the data provided: 

$\displaystyle \small 9302,390,2938,3940$ 

find the mean and the mode.

First, the mode is defined as a number that appears more than once. In this set, all four numbers are different, so there is no mode.

To find the mean we first add up all of the values: 

$\displaystyle \small 9302+390+2938+3940 = 16570$.

Next, we divide this total by the amount of data pieces, 

$\displaystyle \small 16,570 \div4 = 4,142.5$.

This is the mean. 

The mean is the same as the average. To find the mean, use the following formula:

$\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}$

$\displaystyle \text{Mean}=\frac{2+8+48+15+30}{5}$

$\displaystyle \text{Mean}=\frac{103}{5}$

$\displaystyle \text{Mean}=20.6$

The mean is the same as the average. To find the mean, use the following formula:

$\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}$

$\displaystyle \text{Mean}=\frac{(-15)+(-2)+3+6+9}{5}$

$\displaystyle \text{Mean}=\frac{(-17)+18}{5}$

$\displaystyle \text{Mean}=\frac{1}{5}$

$\displaystyle \text{Mean}=0.2$

The mean is the same as the average. To find the mean, use the following formula:

$\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}$

$\displaystyle \text{Mean}=\frac{45+98+100+132+15}{5}$

$\displaystyle \text{Mean}=\frac{390}{5}$

$\displaystyle \text{Mean}=78$