Question

The data set includes home values (in ten thousands of dollars) for all the homes in a small neighborhood. {7.39, 8.69,9.28, 9.66, 10.20, 10.84, 12.15, 36.44} Find the mean of the home. (Round to the nearest tenth)

Answer 1

Answer: 13.1

Step-by-step explanation:

The data set we have is:

`\left\{ 7.39,8.69,9.28,9.66,10.20,10.84,12.15,36.44\right\}`

To calculate the mean, we need to add all the quantities and divide by the number of elements in the data set:

`Mean=\frac{sum\text{ of all the data}}{number\text{ of elements}}`

The number of elements in the data set is: 8 elements

And the sum of all the data is:

`7.39+8.69+9.28+9.66+10.20+10.84+12.15+36.44=104.65`

So, we substitute this into the Mean formula, and get the following result:

`\begin{gathered} Mean=(104.65)/(8) \\ Mean=13.081 \end{gathered}`

Rounding to the nearest tenth (1 decimal place):

`Mean=13.1`

Answer: 13.1