Question

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


Part A: Create a five-number summary and calculate the interquartile range for the two sets of data.

Answer 1

Part B: Are the box plots symmetric? Justify your answer.

Answer 2

Help a girl out please

Answer 3

What are the 5 quantities that constitute a 5-number summary?
Start by rearranging the data in ascending order in each case.

Answer 4

I'm really bad at math, I've reviewed the lesson over 5 times and I don't understand what you're saying..

Answer 5

So, what's the median for state A?

Answer 6

7

Answer 7

ok, so now, that's the hard part. So, google 5 number summary

Answer 8

and tell me the components, it will be the first thing that pops up

Answer 9

Five Number Summary. For a set of data, the minimum, first quartile, median, third quartile, and maximum. Note: A boxplot is a visual display of the five-number summary.

Answer 10

This is what I found on 5 number summaries..

Answer 11

yup, so now, what's the minimum for state a?

Answer 12

4

Answer 13

good, and the max?

Answer 14

25

Answer 15

so that's three of the 5, how do you find Q1?

Answer 16

Um I'm pretty sure you exclude the median and narrow down the middle of the lower half of the data set

Answer 17

mmhmm(There are 3 ways to go about it, so use what they taught you in class)

Answer 18

Okay, Do I do that for the upper quartile also?

Answer 19

yup, Q1 and Q3 are just the median of their respective sets

Answer 20

So how do you calculate IQR from that?

Answer 21

Wait, IQR?

Answer 22

Interquartile range

Answer 23

IQR is just easier to type/write

Answer 24

Lower? The lower is 5 or 6 right??

Answer 25

so tell me the data set you are finding the median of. Does it have an even or odd number of items?

Answer 26

Even

Answer 27

ok, and how do we find the median for an even set of data?

Answer 28

Add 5 and 6 then divide by 2?

Answer 29

yup

Answer 30

So 5.5?

Answer 31

yep

Answer 32

4, 25, 7, 5.5, and 15.. That's the 5 number summary?

Answer 33

Would someone care to incorporate all this discussion into step-by-step instructions?

1. Arrange the data in ascending order.
2. Determine the median.
a. If the number of data points is odd, the median is the middle data value.
b. If the number of data pts. is even, .....

What next?
and next?

Answer 34

Then add the two middle numbers together and divide by two

Answer 35

Can someone help with Part B?

Answer 36

We're not finished listing those steps.

3. Determine Q1 and Q3. Explain how to do this. Process is similar to that of finding the median.

4. Find the IQR (Interquartile range). How?
5. Identify the minimum and maximum of the data.

Summarize the 5 data points (providing the numeric value of each)

a. minimum
b. Q1
c. median
d. Q3
e. maximum

Answer 37

For Part B you do precisely the same thing.

The more work you show, the better others can respond with appropriate feedback.

Answer 38

For Part A: Please complete this table:

a. minimum
b. Q1
c. median
d. Q3
e. maximum