Question

Use the table to answer the question.

This table presents the number of houses corresponding to different property values, showing the distribution of home prices in a given dataset.
Value per House Number of Houses
$150,000
2
$220,000
4
$490,000
3
$540,000
2
$800,000
5
$975,000
2
The values of several houses on Mango Street are displayed on the table. What is the median value of these houses?


(1 point)
$
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Answer 1

To find the median value of the houses, we first need to list all the house values according to the number of houses at each value:

- $150,000: 2 houses
- $220,000: 4 houses
- $490,000: 3 houses
- $540,000: 2 houses
- $800,000: 5 houses
- $975,000: 2 houses

Now, we can expand this data into a list:

- $150,000, $150,000 (2 houses)
- $220,000, $220,000, $220,000, $220,000 (4 houses)
- $490,000, $490,000, $490,000 (3 houses)
- $540,000, $540,000 (2 houses)
- $800,000, $800,000, $800,000, $800,000, $800,000 (5 houses)
- $975,000, $975,000 (2 houses)

Now we have the complete list of house values:

1. $150,000
2. $150,000
3. $220,000
4. $220,000
5. $220,000
6. $220,000
7. $490,000
8. $490,000
9. $490,000
10. $540,000
11. $540,000
12. $800,000
13. $800,000
14. $800,000
15. $800,000
16. $800,000
17. $975,000
18. $975,000

This gives us a total of 18 houses. To find the median, we need to find the average of the 9th and 10th values in the ordered list:

- The 9th value is $490,000
- The 10th value is $540,000

Now, we calculate the median:

\[
\text{Median} = \frac{490,000 + 540,000}{2} = \frac{1,030,000}{2} = 515,000
\]

Thus, the median value of the houses is:

\[
\boxed{515,000}
\]