Question

The mean of a set of data is 5. There are three pieces of data. Thesmallest value in the data set is 4 and the largest is 6. What is the total sumfor the data set? *

Answer 1

Answer:

Total sum of the data set = 15

Explanations:

The mean of a set of data is given by the formula:

`\begin{gathered} \text{Mean = }\frac{\sum ^{}_{}x}{n} \\ \text{Where n is the number of items} \end{gathered}`

There are three pieces of data here:

n = 3

`\begin{gathered} 5\text{ = }(4+x_2+6)/(3) \\ 5*3=4+6+x_2 \\ 15=10+x_2 \\ 15-10=x_2 \\ x_2=\text{ 5} \end{gathered}`
`\begin{gathered} \text{Total sum of the data = x}_1+x_2+x_3 \\ \text{Total sum of the data = 4 + 5 + 6} \\ \text{Total sum of the data = 15} \end{gathered}`