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?

5 answers

To find the median value, we need to arrange the values in order from smallest to largest:

$150,000, $150,000, $220,000, $220,000, $220,000, $220,000, $490,000, $490,000, $490,000, $540,000, $540,000, $800,000, $800,000, $800,000, $800,000, $800,000, $975,000, $975,000

There are 19 values in total, so the middle value is the 10th one, which is $490,000. Therefore, the median value of these houses is $490,000.
Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?

Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2

(2 points)
The median number of books read during the summer by Class 1 is
.
The median number of books read during the summer by Class 2 is
.
Class
has a higher median number of books read during the summer.
To find the median, we need to first put the data in order:

Class 1: 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 10
Class 2: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10

Class 1 has an odd number of data points, so the median is the middle value, which in this case is 5.

Class 2 also has an odd number of data points, so the median is the middle value, which in this case is 3.

Therefore, Class 1 has a higher median number of books read during the summer.
The stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. The table shows the speeds of the fastest steel roller coasters in North America.

Speeds of the Fastest Steel Roller Coasters in Europe (in miles per hour)

Stem Leaf
7 4 5 5 5
8 0 0 3 4 8
9 9
11 1Key: 7|4=74 miles per hour

Speeds of the Fastest Steel Roller Coasters in North America (in miles per hour)

Canada 90 128 91
U.S. 93 120 100
Mexico 95 92 85
Find the range of the speeds of the fastest steel roller coasters on both continents.

(1 point)
The range of the speeds of the fastest steel roller coasters in Europe is
mph. The range of the speeds of the fastest steel roller coasters in North America is
mph.
The range is the difference between the highest and lowest values.

For Europe, the highest speed is 115 mph (11|1) and the lowest speed is 74 mph (7|4), so the range is:

115 - 74 = 41 mph

For North America, the highest speed is 128 mph and the lowest speed is 85 mph, so the range is:

128 - 85 = 43 mph

Therefore, the range of the speeds of the fastest steel roller coasters in Europe is 41 mph and the range of the speeds of the fastest steel roller coasters in North America is 43 mph.