To find the mean of a data set, we will use the following formula:

\(\displaystyle \text{mean} = \frac{\text{sum of the numbers in the set}}{\text{number of numbers in the set}}\)

So, given the data set

\(\displaystyle 3, 2, 6, 4, 2, 8, 8, 2, 1\)

we can find the sum of the numbers in the set.  To find the sum, we will add all the numbers together.

\(\displaystyle \text{sum of the numbers in the set} = 3+2+6+4+2+8+8+2+1\)

\(\displaystyle \text{sum of the numbers in the set} = 36\)

Now, we will find the number of numbers within the set.  To do this, we will just count and see how many numbers are in the set.

\(\displaystyle \text{number of numbers in the set} = 9\)

Now, we can substitute what we know into the formula.  We get

\(\displaystyle \text{mean} = \frac{36}{9}\)

\(\displaystyle \text{mean} = 4\)

Therefore, the mean of the data set is \(\displaystyle 4\).

Find the mean of the following data set.

\(\displaystyle 45,12,345,76,12,112,45,96,54,32,12\)

To find the mean, we must find the average.

To do so, find the sum of our terms, and divide by the number of terms.

\(\displaystyle 45+12+345+76+12+112+45+96+54+32+12=841\)

Now, we have eleven terms, so...

\(\displaystyle \frac{841}{11}\approx76.4\approx76\)

So, we can say that our mean is 76

To find the mean, or the average, we will use the following formula:

\(\displaystyle \text{mean} = \frac{\text{sum of numbers within the set}}{\text{number of numbers within the set}}\)

So, given the set

\(\displaystyle 6, 8, 4, 7, 9, 8, 5, 6, 8, 9\)

we will first find the sum.  To find the sum, we will add all of the numbers.  So,

\(\displaystyle \text{sum of the numbers within the set} = 6+8+4+7+9+8+5+6+8+9\)

\(\displaystyle \text{sum of the numbers within the set} = 70\)

Now, we will determine the number of numbers within the set.  In other words, we will count and see how many numbers are within the set. So,

\(\displaystyle \text{number of numbers within the set} = 10\)

Now, we will substitute this into the formula.  We get

\(\displaystyle \text{mean} = \frac{70}{10}\)

We can cancel the zero in \(\displaystyle 70\) and the zero in \(\displaystyle 10\).  We get

\(\displaystyle \text{mean} = \frac{7}{1}\)

\(\displaystyle \text{mean} = 7\)

Therefore, the mean of the data set is \(\displaystyle 7\).

To find the mean (or average) of the data set, we will use the following formula:

\(\displaystyle \text{mean} = \frac{\text{sum of the numbers in the set}}{\text{number of numbers in the set}}\)

Now, given the set

\(\displaystyle 7, 4, 4, 5, 9, 4, 6, 7, 4, 10\)

we will first find the sum.  To find the sum, we will add all of the numbers together. So,

\(\displaystyle \text{sum of the numbers in the set} = 7+4+4+5+9+4+6+7+4+10\)

\(\displaystyle \text{sum of the numbers in the set} = 60\)

Now, we will find the number of numbers in the set.  To do this, we will simply count and see how many numbers are in the set. We get

\(\displaystyle \text{number of numbers in the set} = 10\)

Now, we can substitute what we know into the formula.  We get

\(\displaystyle \text{mean} = \frac{60}{10}\)

\(\displaystyle \text{mean} = \frac{6}{1}\)

\(\displaystyle \text{mean} = 6\)

Therefore, the mean of the data set is \(\displaystyle 6\).

To find the mean of a data set, we will use the following formula:

\(\displaystyle \text{mean} = \frac{\text{sum of the numbers in the set}}{\text{number of numbers in the set}}\)

So, given the set

\(\displaystyle 4, 6, 7, 6, 7, 2, 4, 8, 9, 7\)

we can calculate the following.

\(\displaystyle \text{sum of the numbers in the set} = 4+6+7+6+7+2+4+8+9+7\)

\(\displaystyle \text{sum of the numbers in the set} = 60\)

We can also calculate the following.

\(\displaystyle \text{number of numbers in the set} = 10\)

because if we count and see how many numbers are in the set, we count 10 numbers.

Now, knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{mean} = \frac{60}{10}\)

\(\displaystyle \text{mean} = \frac{6}{1}\)

\(\displaystyle \text{mean} = 6\)

Therefore, the mean of the data set is 6.

To find the mean of a data set, we will use the following formula:

\(\displaystyle \text{mean} = \frac{\text{sum of numbers within set}}{\text{number of numbers within set}}\)

Now, given the set

\(\displaystyle 6, 4, 7, 4, 2, 7, 9, 1, 5, 2, 8\)

we can calculate the following:

\(\displaystyle \text{sum of numbers within set} = 6+4+7+4+2+7+9+1+5+2+8\)

\(\displaystyle \text{sum of numbers within set} = 55\)

Now, we can calculate the following:

\(\displaystyle \text{number of numbers within set} = 11\)

because if we count the numbers within the set, we can see there are 11 numbers.

Knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{mean} = \frac{55}{11}\)

\(\displaystyle \text{mean} = 5\)

Therefore, the mean of the data set is 5.

To find the mean of the data set, we will use the following formula:

\(\displaystyle \text{mean} = \frac{\text{sum of numbers within set}}{\text{number of numbers within set}}\)

So, given the data set

\(\displaystyle 5, 3, 2, 5, 6, 7, 8, 6, 8, 7, 9\)

we can calculate the following:

\(\displaystyle \text{sum of numbers within set} = 5+3+2+5+6+7+8+6+8+7+9\)

\(\displaystyle \text{sum of numbers within set} = 66\)

Now, we can calculate the following:

\(\displaystyle \text{number of numbers within set} = 11\)

because if we count the numbers in the set, we can see there are 11 numbers.

Now, knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{mean} = \frac{66}{11}\)

\(\displaystyle \text{mean} = 6\)

Therefore, the mean of the data set is 6.

To find the mean, we will use the following formula:

\(\displaystyle \text{mean} = \frac{\text{sum of numbers within set}}{\text{number of numbers within set}}\)

Now, given the set

\(\displaystyle 98, 87, 77, 89, 80, 95, 89, 87, 90, 78, 87\)

We can calculate the following:

\(\displaystyle \text{sum of numbers within set} = 98+87+77+89+80+95+89+87+90+78+87\)

\(\displaystyle \text{sum of numbers within set} = 957\)

Now, we can calculate the following:

\(\displaystyle \text{number of numbers within set} = 11\)

Because there are 11 numbers in the set.

Knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{mean} = \frac{957}{11}\)

\(\displaystyle \text{mean} = 87\)

Therefore, the mean of the data set is 87.

To find the mean of a data set, we will use the following formula:

\(\displaystyle \text{mean} = \frac{\text{sum of numbers within set}}{\text{number of numbers within set}}\)

Now, given the set

\(\displaystyle 5, 14, 7, 6, 11, 5, 7, 12, 8, 5, 9, 7\)

we can calculate:

\(\displaystyle \text{sum of numbers within set} = 5+14+7+6+11+5+7+12+8+5+9+7\)

\(\displaystyle \text{sum of numbers within set} = 96\)

We can also calculate:

\(\displaystyle \text{number of numbers within set} = 12\)

because if we were to count the numbers in the set, we would count 12.

So, we get

\(\displaystyle \text{mean} = \frac{96}{12}\)

\(\displaystyle \text{mean} = 8\)

Therefore, the mean of the data set is 8.

The mean is the average of all the numbers given.

Sum all the numbers and divide by the total by five.

\(\displaystyle \frac{6+9+0+5+10}{5} = \frac{30}{5} = 6\)

The answer is:  \(\displaystyle 6\)