Question

The paper homework shows a boxplot and five-number summary (duplicated below) for Florida's 2015-16 college tuition and fees. Based on that information, answer the following questions. We will assume that Aviation College continues to be included, so the paper information is complete and correct.

Florida boxplot and 5 number summary

The lowest 25% of Florida college tuition and fees in 2015-16 were equal to or less than what dollar amount?

$


If a Florida college's tuition and fees in 2015-16 were in the most expensive 25%, then the college must have been charging more than what amount?

$


What percentage of Florida colleges tuition and fees in 2015-16 were between $6410 and $13,068?

%

Half of Florida colleges had tuition and fees in 2015-16 that were less than or equal to what amount?

$


The range of a dataset is the difference between its maximum and minimum value. In other words: Range = Maximum - Minimum.
What was the range of Florida college tuition and fees in 2015-16? Recall that range is a specific number, not two different numbers.

$

Answer 1

a) The amount is $ 6410.

b) The amount is $ 17664

c) Percentage of Florida college tuition and fees in 2015-16 were between $ 6410 and $ 13068 is 25%.

d) Half of Florida colleges had tuition and fees in 2015-16 that were less than or equal to what amount $13068

e) Range = 71106

How values were calculated for a dataset.

From the diagram

minimum = 2,026

Maximum = 73, 132

First quartile = 6410

Mean = 13 068

Third quartile = 17, 664

a) The lowest 25 % is same as the value of first quartile ( Q1)

So the lowest 25% of Florida college tuition fees in 2015-16 were equal to or less than what dollar amount = $ 6410.

b)The most expensive 25 % corresponds to the value of third quartile (Q3)

So If Florida college tuition fees in 2015-16 were in the most expensive 25 % then the college must have been charging than what amount = $ 17664

c) If we consider the first quartile as $6410 and the third quartile as $13068 for Florida college tuition and fees in 2015-16, the amount between these two values represents the middle 50% of the data. So, 25% below $6410 and 25% above $13068, together making up 50%, constitute the range of tuition and fees for the majority of students during that period.

Between them 50 - 25 = 25%

d) If Q2 (the second quartile or median) is $13068, then half of Florida colleges had tuition and fees in 2015-16 that were less than or equal to $13068. It serves as the dividing point, separating the lower 50% from the higher 50% of the dataset.

e) The range of the dataset

maximum - minimum

= 73, 132 - 2,026

= 71106

Complete question