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?
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.
To find the median value, we need to arrange the house values in ascending order:
$150,000
$220,000
$490,000
$540,000
$800,000
$975,000
Now, we count the number of values we have, which is 2 + 4 + 3 + 2 + 5 + 2 = 18.
Since there is an even number of values (18), the median is the average of the middle two values.
In this case, the middle two values are $490,000 and $540,000.
To find the average, we add these two values and divide by 2:
($490,000 + $540,000) / 2 = $1,030,000 / 2 = $515,000
Therefore, the median value of the houses on Mango Street is $515,000.
To find the median value of the houses, follow these steps:
Step 1: Arrange the values in ascending order:
$150,000, $220,000, $490,000, $540,000, $800,000, $975,000
Step 2: Count the total number of houses, which is 2+4+3+2+5+2 = 18.
Step 3: Determine the position of the median. In this case, since there are 18 houses, the median will be the average of the 9th and 10th values.
Step 4: Identify the 9th and 10th values in the sorted list: $490,000 and $540,000.
Step 5: Compute the median by taking the average of the 9th and 10th values:
($490,000 + $540,000) / 2 = $515,000
Therefore, the median value of the houses on Mango Street is $515,000.