Question

3 +4 + 5 + 7 +2 = 21/5 = 4.2 = mean

Answer 1

We will assume that you need to double-check if your answer for the mean is correct. That is, you need to find the mean of the data.

We have the following given data:

`3,4,5,7,2`

And we have to find the mean for the given data.

1. To find it, we need to remember that the mean (also known as average) is a number found when we add all the values given in the data, and then we divide that result by the number of given values.

2. We have that the sum of all of the values is:

`3+4+5+7+2=21`

3. Then we have to divide that result by the total number of values of that set of numbers. In this case, we have 5 values. Then we have:

`\begin{gathered} \text{ mean=}(21)/(5)=4.2 \\ \\ \text{ mean}=4.2 \end{gathered}`

4. We can write the general formula to find the mean:

`\begin{gathered} \text{ mean}=\bar{x}=(x_1+x_2+x_3...+x_n)/(n) \\ \\ \text{ Or using summation notation:} \\ \\ \text{ mean=}\bar{x}=\sum_(i=1)^nx_i\text{ \lparen Which is equivalent to the expression given above\rparen} \end{gathered}`

Therefore, in summary, the mean of 3, 4, 5, 7, and 2 is 4.2, mean = 4.2, or:

`\bar{x}=4.2`