Use the table to answer the question.

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 2The 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 need to first 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 list all the house values in ascending order:

• $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)

Next, we can count the total number of houses:

2 + 4 + 3 + 2 + 5 + 2 = 18 houses

Since there are 18 houses, the median will be the average of the 9th and 10th values in the ordered list:

Now let's find the 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 (9th value)
10. $540,000 (10th value)
11. $540,000
12. $800,000
13. $800,000
14. $800,000
15. $800,000
16. $800,000
17. $975,000
18. $975,000

Now, we find the average of the 9th and 10th values:

Median = (490,000 + 540,000) / 2 = 1,030,000 / 2 = 515,000

Thus, the median value of the houses is $515,000.