A distribution of numbers has the following five-number summary:

13.7, 24.5, 38.9, 50.0, 73.2

True or False? These numbers can be used to calculate the interquartile range (IQR) of the distribution.

Question

A distribution of numbers has the following five-number summary:

13.7, 24.5, 38.9, 50.0, 73.2

True or False? These numbers can be used to calculate the interquartile range (IQR) of the distribution.

jim_thompson5910 · Answer

hint: 

IQR = (Q3) - (Q1)


Q1 = first quartile
Q3 = third quartile

anonymous · Answer

I know, but since we have to calculate Q1 and Q3, that means that we cant use the number in the distribution as given.

jim_thompson5910 · Answer

what is a five number summary?

jim_thompson5910 · Answer

in other words, what numbers are displayed in a five number summary?

anonymous · Answer

it is just the list of distribution numbers as give (in the problem showed)

jim_thompson5910 · Answer

but it's a summary of a list of numbers

jim_thompson5910 · Answer

example: if I gave you the list of numbers "1, 2, 3, 4, 5, 6" 

the five number summary of that list of numbers is 


1, 2, 3.5, 5, 6 


what does that five number summary mean?