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 determine the median value of the houses, we first need to list all of the house values according to the number of houses for 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

Let's create a complete list of house values:

• $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, counting the houses:

• 2 (from $150,000)
• 4 (from $220,000)
• 3 (from $490,000)
• 2 (from $540,000)
• 5 (from $800,000)
• 2 (from $975,000)

Total number of houses = 2 + 4 + 3 + 2 + 5 + 2 = 18 houses.

To find the median, we identify the middle value in the ordered list. Since there are 18 houses (an even number), the median will be the average of the 9th and 10th values.

Now, let's order the complete list of 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, the 9th value is $490,000 and the 10th value is $540,000.

To find the median:

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

So, the median value of these houses is $515,000.