Was the US-led rebuilding of Japan after World War II successful? Why or why not?
A.
No, Japan's democracy was overthrown in a coup and was not reestablished for decades.
B.
Yes, Japan became a stable democracy with one of the biggest economies in the world.
C.
No, Japan's weak military allowed it to fall under Soviet influence until the end of the Cold War.
D.
Yes, Japan developed a large and powerful military to counter China and the Soviet Union.
The correct answer is B. Yes, Japan became a stable democracy with one of the biggest economies in the world. The US-led rebuilding of Japan after World War II was successful in that it helped to establish a stable democracy and a strong economy. Japan's economy grew rapidly in the decades following the war, and it is now one of the largest economies in the world.
Which data set has the highest median?
{1, 10, 8, 29, 14, 17, 3}
{11, 15, 16, 8, 12, 14}
{1, 6, 15, 7, 15, 18, 14}
{8, 20, 13, 14, 12, 9}
The data set with the highest median is:
{1, 10, 8, 29, 14, 17, 3}
To determine the median, we first need to order the data set from lowest to highest:
{1, 3, 8, 10, 14, 17, 29}
The median is the middle number in the ordered list, which is 10.
For the other data sets:
{11, 15, 16, 8, 12, 14} has a median of 13.
{1, 6, 15, 7, 15, 18, 14} has a median of 15.
{8, 20, 13, 14, 12, 9} has a median of 13.
Therefore, the first data set has the highest median.
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?
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To find the median value of the houses, we need to order the values from lowest to highest and find the middle value.
$150,000, $220,000, $490,000, $540,000, $800,000, $975,000
There are a total of 18 houses (2+4+3+2+5+2) in this dataset.
To find the median, we need to find the middle value. Since there are an even number of values, we take the mean of the middle two values.
$490,000$ and $540,000$ are the middle two values when we order the data.
So, the median value of the houses is:
Median = ($490,000 + $540,000)/2 = $515,000.
Therefore, the median value of the houses on Mango Street is $515,000.
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
Theo: 84, 88, 81, 80, 85, 77, 76
Dana: 68, 74, 83, 80, 81, 82, 70
Ara: 100, 98, 99, 97, 100, 100
Jose: 91, 93, 97, 96, 96, 96, 88, 90
To determine whose mean test score will increase the most, we need to calculate the mean of each person's previous six test scores and compare it to their score on the latest math test. The person whose previous mean is the lowest and whose latest score is the highest will have the greatest increase in mean test score.
Theo:
(84+88+81+80+85+77)/6 = 83.5
Dana:
(68+74+83+80+81+82)/6 = 78
Ara:
(100+98+99+97+100+100)/6 = 98.3
Jose:
(91+93+97+96+96+96+88+90)/8 = 93.5
Since Ara got a perfect score on the latest test, her mean test score will increase by the greatest amount. Therefore, Ara's mean test score will increase the most.