SOLUTION: I need help on parts A through B its confusing and the boxplot wont show up on here when i tried put it in. The following boxplot represents the team payroll salaries for all 200

Algebra ->  Statistics  -> Displaying-distributions -> SOLUTION: I need help on parts A through B its confusing and the boxplot wont show up on here when i tried put it in. The following boxplot represents the team payroll salaries for all 200      Log On


   

Question 1042204: I need help on parts A through B its confusing and the boxplot wont show up on here when i tried put it in.
The following boxplot represents the team payroll salaries for all 2006 MLB teams:


These are the numbers under the boxplot. $14.3 mil $57.85mil $72.6mil $93.6 mil $198.6 mil
Fill in the blanks:
a) _____% of the MLB teams have payroll salaries greater than $72.6 million.
b) _____% of the MLB teams have payroll salaries greater than $93.6 million.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the box plot numbers are:
14.3
57.85
72.6
93.6
198.6

the basic box plot gives you:
the minimum
the first quartile
the median
the third quartile
the maximum

here's a picture of the basic boxplot
http://www.physics.csbsju.edu/stats/box2.html

based on that, your numbers are:

14.3 = minimum
57.85 = first quartile
72.6 = median
93.6 = third quartile
198.6 = maximum

the first quartile tells you that 25% of the numbers are less than that and 75% of the number are greater than that.

the median tells you that 50% of the numbers are less than that and 50% of the number are greater than that.

the third quartile tells you that 75% of the number are less than that and 25% of the numbers are greater than that.

the basic box plot divides the distribution into 4 quarters.

25% of the number are between the minimum and the first quartile.
25% of the numbers are between the first quartile and the median.
25% of the number are between the median and the third quartile.
25% of the numbers are between the third quartile and the maximum.


50% of the number are between the first quartile and the third quartile.

the difference between the first quartile and the third quartile is called the inter-quartile range.

your problem states:

These are the numbers under the boxplot.
$14.3 mil, $57.85 mil, $72.6 mil, $93.6 mil, $198.6 mil.

Fill in the blanks:
a) _____% of the MLB teams have payroll salaries greater than $72.6 million.
b) _____% of the MLB teams have payroll salaries greater than $93.6 million.

since 72.6 mil is the median, then 50% of the numbers are below and 50% of the numbers are above 72.6 mil.

since 93.6 mil is the third quartile, then 75% of the numbers are below and 25% of the numbers are above 93.6 mil.

answer to question a is 50%.
answer to question b is 25%.

a picture of your box plot would look like this:

$$$

the link to the box plot grapher is shown below.

http://www.imathas.com/stattools/boxplot.html