Question

I'm having trouble understanding this problem and don't understand at all.

The table below shows the number of hours some college athletes in two states spend on indoor sports each week:

State A: 7 9 5 4 25 21 6 6 8
State B: 14 12 10 13 15 14 11 15 16

Answer 1

QUESTIONS:
Part A: Create a 5-number summary and calculate the interquartile range for the two sets of stairs.
Part B: are the box plots symmetric? Justify your answer.

Answer 2

Hello, Sydney, First: Could you please look up "5-number summary" in your study materials (whatever and wherever they may be)? Also look up "interquartile range."
Once you have the definition of "5-number summary" in front of you, someone else or I will be glad to help you determine those 5 numbers.

Answer 3

@mathmale yes I'm looking now

Answer 4

@mathmale okay I understand what a 5 number summary is and now looking at what A interquartile range

Answer 5

First hint: your very first step is to arrange each set of data in ascending order (smallest to largest). Next, find the median. What are the other four quantities that you must find (besides median)?

Answer 6

I will be away from my computer for a while, but perhaps could continue helping you later today.

Answer 7

@mathmale I think I'm starting to understand I'm just trying to figure out what the upper q and lower q are

Answer 8

As before: arrange your data, in each case, from smallest to largest.
Find the median. There are two cases here: one in which you have an ODD number of data points, and one in which you have an EVEN number.
Once you've found the median, identify the data points that represent the 1st and 3rd quartiles. The IQR is the difference between the 3rd and 1st quartiles.
The range is the difference between the last and the first terms.
(Have to get off the 'Net.)

Answer 9

Finding the median divides your data set into two parts.
Q1 is the median of the left half of the data.
Q3 is the median of the right half of the data.
So, y ou are essentially finding three medians.

Answer 10

Okay