Question
Use the table to answer the question.
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?
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?
Answers
Answer
Theo, Ara, Jose, and Dana all got 100 percent on their latest math test. Their scores on the previous
six tests are listed. Whose mean test score will increase the most? (1 point)
Theo: 84, 88, 81, 85, 77, 76
Jose: 91, 93, 97, 96, 96, 96
Ara: 100, 98, 99, 97, 100, 100
Dana: 68, 74, 83, 80, 81, 82
six tests are listed. Whose mean test score will increase the most? (1 point)
Theo: 84, 88, 81, 85, 77, 76
Jose: 91, 93, 97, 96, 96, 96
Ara: 100, 98, 99, 97, 100, 100
Dana: 68, 74, 83, 80, 81, 82
Answer
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 1
Key: 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
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 1
Key: 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
Answer
Anthony wants to know the average daily high temperatures in his town during the summer. He chose
two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high
temperatures in Fahrenheit are as follows.
Sample 1: 78 82 85 87 90 85 79 86 91 88
Sample 2: 81 79 80 86 89 92 82 88 84 87
Find the mean daily high temperatures of each sample and calculate the difference between these
mean daily high temperatures.
(2 points)
two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high
temperatures in Fahrenheit are as follows.
Sample 1: 78 82 85 87 90 85 79 86 91 88
Sample 2: 81 79 80 86 89 92 82 88 84 87
Find the mean daily high temperatures of each sample and calculate the difference between these
mean daily high temperatures.
(2 points)
Answer
The data from two random samples of 100 students regarding what pet they own is given below.
Dog Cat Bird Total
Sample 1 54 38 8 100
Sample 2 39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?
(1 point
Dog Cat Bird Total
Sample 1 54 38 8 100
Sample 2 39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?
(1 point
Answer
These are the scores for two randomly selected lacrosse teams. Find the range of the number of goals
scored by each team. Based on the range, which team has a more consistent number of goals
scored?
Lacrosse Team 1: 6 0 4 17 3 12
Lacrosse Team 2: 23 14 22 14 17 22
(2 points)
scored by each team. Based on the range, which team has a more consistent number of goals
scored?
Lacrosse Team 1: 6 0 4 17 3 12
Lacrosse Team 2: 23 14 22 14 17 22
(2 points)
Answered by
GPT 3.5
To find the median value of the houses, we must first arrange the values in ascending order:
$150,000, $220,000, $490,000, $540,000, $800,000, $975,000
Since there are 18 total houses, the median value will be the 9th value when arranged in ascending order.
Therefore, the median value of the houses on Mango Street is $540,000.
$150,000, $220,000, $490,000, $540,000, $800,000, $975,000
Since there are 18 total houses, the median value will be the 9th value when arranged in ascending order.
Therefore, the median value of the houses on Mango Street is $540,000.
Answered by
GPT 3.5
To find out whose mean test score will increase the most after getting 100% on the latest test, we need to calculate the mean test scores for each student before and after the latest test.
Theo:
Mean of previous 6 scores: (84 + 88 + 81 + 85 + 77 + 76) / 6 = 81.83
Mean after getting 100%: (81.83 + 100) / 2 = 90.92
Jose:
Mean of previous 6 scores: (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.83
Mean after getting 100%: (95.83 + 100) / 2 = 97.92
Ara:
Mean of previous 6 scores: (100 + 98 + 99 + 97 + 100 + 100) / 6 = 98.33
Mean after getting 100%: (98.33 + 100) / 2 = 99.17
Dana:
Mean of previous 6 scores: (68 + 74 + 83 + 80 + 81 + 82) / 6 = 77.67
Mean after getting 100%: (77.67 + 100) / 2 = 88.83
Whose mean test score will increase the most:
- Theo's mean score increased by 9.09
- Jose's mean score increased by 2.08
- Ara's mean score increased by 0.84
- Dana's mean score increased by 11.16
Therefore, Dana's mean test score will increase the most after getting 100% on the latest test.
Theo:
Mean of previous 6 scores: (84 + 88 + 81 + 85 + 77 + 76) / 6 = 81.83
Mean after getting 100%: (81.83 + 100) / 2 = 90.92
Jose:
Mean of previous 6 scores: (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.83
Mean after getting 100%: (95.83 + 100) / 2 = 97.92
Ara:
Mean of previous 6 scores: (100 + 98 + 99 + 97 + 100 + 100) / 6 = 98.33
Mean after getting 100%: (98.33 + 100) / 2 = 99.17
Dana:
Mean of previous 6 scores: (68 + 74 + 83 + 80 + 81 + 82) / 6 = 77.67
Mean after getting 100%: (77.67 + 100) / 2 = 88.83
Whose mean test score will increase the most:
- Theo's mean score increased by 9.09
- Jose's mean score increased by 2.08
- Ara's mean score increased by 0.84
- Dana's mean score increased by 11.16
Therefore, Dana's mean test score will increase the most after getting 100% on the latest test.
Answered by
GPT 3.5
To find the range of the speeds of the fastest steel roller coasters on both continents, we need to determine the highest and lowest speeds on each continent.
In Europe:
- The highest speed is 115 mph
- The lowest speed is 74 mph
In North America:
- The highest speed is 128 mph
- The lowest speed is 85 mph
Now, we calculate the range for each continent by subtracting the lowest speed from the highest speed:
Europe: 115 mph - 74 mph = 41 mph
North America: 128 mph - 85 mph = 43 mph
Therefore, the range of the speeds of the fastest steel roller coasters is 41 mph in Europe and 43 mph in North America.
In Europe:
- The highest speed is 115 mph
- The lowest speed is 74 mph
In North America:
- The highest speed is 128 mph
- The lowest speed is 85 mph
Now, we calculate the range for each continent by subtracting the lowest speed from the highest speed:
Europe: 115 mph - 74 mph = 41 mph
North America: 128 mph - 85 mph = 43 mph
Therefore, the range of the speeds of the fastest steel roller coasters is 41 mph in Europe and 43 mph in North America.
Answered by
GPT 3.5
To find the mean daily high temperatures of each sample, we need to calculate the average of the temperatures in each sample:
Sample 1:
Mean daily high temperature = (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10
Mean daily high temperature = 861 / 10
Mean daily high temperature = 86.1°F
Sample 2:
Mean daily high temperature = (81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10
Mean daily high temperature = 848 / 10
Mean daily high temperature = 84.8°F
Now, we calculate the difference between the mean daily high temperatures of each sample:
Difference = Mean temperature of Sample 1 - Mean temperature of Sample 2
Difference = 86.1 - 84.8
Difference = 1.3°F
Therefore, the difference between the mean daily high temperatures of the two samples is 1.3°F.
Sample 1:
Mean daily high temperature = (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10
Mean daily high temperature = 861 / 10
Mean daily high temperature = 86.1°F
Sample 2:
Mean daily high temperature = (81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10
Mean daily high temperature = 848 / 10
Mean daily high temperature = 84.8°F
Now, we calculate the difference between the mean daily high temperatures of each sample:
Difference = Mean temperature of Sample 1 - Mean temperature of Sample 2
Difference = 86.1 - 84.8
Difference = 1.3°F
Therefore, the difference between the mean daily high temperatures of the two samples is 1.3°F.
Answered by
GPT 3.5
To find the percentage of students who own a bird as a pet based on the two samples, we need to first calculate the total number of students who own a bird in both samples.
Sample 1:
Number of students who own a bird in Sample 1 = 8
Sample 2:
Number of students who own a bird in Sample 2 = 12
Total number of students who own a bird = 8 + 12 = 20
Total number of students in both samples = 100 + 100 = 200
Percentage of students who own a bird as a pet = (Number of students who own a bird / Total number of students) x 100
Percentage = (20 / 200) x 100
Percentage = 0.1 x 100
Percentage = 10%
Therefore, based on the two samples, 10% of the students own a bird as a pet.
Sample 1:
Number of students who own a bird in Sample 1 = 8
Sample 2:
Number of students who own a bird in Sample 2 = 12
Total number of students who own a bird = 8 + 12 = 20
Total number of students in both samples = 100 + 100 = 200
Percentage of students who own a bird as a pet = (Number of students who own a bird / Total number of students) x 100
Percentage = (20 / 200) x 100
Percentage = 0.1 x 100
Percentage = 10%
Therefore, based on the two samples, 10% of the students own a bird as a pet.
Answered by
GPT 3.5
To find the range of the number of goals scored by each team, we need to determine the highest and lowest number of goals scored by each team.
For Lacrosse Team 1:
- The highest number of goals scored is 17
- The lowest number of goals scored is 0
Range for Team 1: 17 - 0 = 17
For Lacrosse Team 2:
- The highest number of goals scored is 23
- The lowest number of goals scored is 14
Range for Team 2: 23 - 14 = 9
Now, we compare the ranges to determine which team has a more consistent number of goals scored. A smaller range indicates more consistency.
In this case, Lacrosse Team 2 has a smaller range of 9 compared to Lacrosse Team 1 with a range of 17. This means that Lacrosse Team 2 has a more consistent number of goals scored.
For Lacrosse Team 1:
- The highest number of goals scored is 17
- The lowest number of goals scored is 0
Range for Team 1: 17 - 0 = 17
For Lacrosse Team 2:
- The highest number of goals scored is 23
- The lowest number of goals scored is 14
Range for Team 2: 23 - 14 = 9
Now, we compare the ranges to determine which team has a more consistent number of goals scored. A smaller range indicates more consistency.
In this case, Lacrosse Team 2 has a smaller range of 9 compared to Lacrosse Team 1 with a range of 17. This means that Lacrosse Team 2 has a more consistent number of goals scored.
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