Which data set has the highest median?(1 point)
Responses
{11, 15, 16, 8, 12, 14}
, left brace 11 comma 15 comma 16 comma 8 comma 12 comma 14 right brace
{1, 10, 8, 29, 14, 17, 3}
, left brace 1 comma 10 comma 8 comma 29 comma 14 comma 17 comma 3 right brace
{1, 6, 15, 7, 15, 18, 14}
left brace 1 comma 6 comma 15 comma 7 comma 15 comma 18 comma 14 right brace
{8, 20, 13, 14, 12, 9}
, left brace 8 comma 20 comma 13 comma 14 comma 12 comma 9 right brace
{11, 15, 16, 8, 12, 14} has the highest median, which is 13.5.
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 2The values of several houses on Mango Street are displayed on the table. What is the median value of these houses?
First, we need to list all the values in order from least to greatest:
$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 18 values in total. To find the median, we need to find the middle value. Since there is an even number of values, we take the average of the two middle values:
Median = ($490,000 + $540,000)/2 = $515,000
Therefore, the median value of these houses is $515,000.
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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)
Responses
Dana: 68, 74, 83, 80, 81, 82, 70
Dana: 68, 74, 83, 80, 81, 82, 70
Jose: 91, 93, 97, 96, 96, 96, 88, 90
Jose: 91, 93, 97, 96, 96, 96, 88, 90
Ara: 100, 98, 99, 97, 100, 100
Ara: 100, 98, 99, 97, 100, 100
Theo: 84, 88, 81, 80, 85, 77, 76
For each student, we need to calculate their mean (average) score on the previous six tests and then compare it to their score on the latest test (which is 100 for all of them). The student whose mean score increases the most is the answer.
Dana: (68 + 74 + 83 + 80 + 81 + 82)/6 = 78; increase = 22
Jose: (91 + 93 + 97 + 96 + 96 + 96 + 88)/7 = 93; increase = 7
Ara: (100 + 98 + 99 + 97 + 100 + 100)/6 = 99; increase = 1
Theo: (84 + 88 + 81 + 80 + 85 + 77)/6 = 83.5; increase = 16.5
Therefore, Theo's mean test score will increase the most.
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 in a data set.
For Europe, the highest value is 115 and the lowest value is 74. Therefore, the range is:
Range Europe = 115 - 74 = 41 mph
For North America, the highest value is 128 and the lowest value is 85. Therefore, the range is:
Range North America = 128 - 85 = 43 mph
So, 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 determine which data set has the highest median, we first need to calculate the median of each data set. The median is the middle value in a sorted list of numbers.
For the first data set {11, 15, 16, 8, 12, 14}, we can arrange the numbers in ascending order: {8, 11, 12, 14, 15, 16}. The median is the middle value, which is 12.
For the second data set {1, 10, 8, 29, 14, 17, 3}, when sorted in ascending order, we get {1, 3, 8, 10, 14, 17, 29}. The median is the middle value, which is 10.
For the third data set {1, 6, 15, 7, 15, 18, 14}, when sorted, we have {1, 6, 7, 14, 15, 15, 18}. The median is the middle value, which is 14.
For the fourth data set {8, 20, 13, 14, 12, 9}, when sorted, we get {8, 9, 12, 13, 14, 20}. The median is the middle value, which is 13.
Comparing the medians, we can see that the second data set {1, 10, 8, 29, 14, 17, 3} has the highest median, which is 10.