Question

Kobe's points per game
8, 15, 10, 10, 10, 15, 7, 8, 10, 9

Lebron's points per game
1, 3, 0, 2, 4, 5, 7, 7, 8, 10

Kobe believes he is a basketball star and so does his friend LeBron. Create a box plot of Kobe’s and LeBron’s points for the last 10 games.

I need some help with this!!! Can someone help me work this and a couple other questions out? it would be greatly appreciated!!! And help me understand them more easy! :)

Answer 1

Do you know how box plot works?

Answer 2

Not exactly

Answer 3

Do you know what the median is?

Answer 4

isnt it what number is in the middle?

Answer 5

yeah

Answer 6

do you know what 1st and 3rd quartiles are?

Answer 7

isnt 1st quartile the lower half of the data and the 3rd quartile is the upper part of the data?

Answer 8

or is it the other way around?

Answer 9

1st quartile is the median of the lower half of the data, and the 3rd quartile is the median of the upper half.

Answer 10

ok so i was sort of right but not really? lol :P

Answer 11

well, the lower half of the data is a set of points, and only one point, the median of it, would be the 1st quartile, I suppose.

Answer 12

ok so what exactly would i do to get the data for the box plot for the set of numbers i have?

Answer 13

like how would i work it out?

Answer 14

You get the min, the first quartile, the median, the third quartile and the max

Answer 15

ok i see what you were saying in the comment before you posted the graph can you help me figure those out? :)

Answer 16

Like by explaining to me how we get the answers as we go and work them out?

Answer 17

@mathmale would you maybe be able to help?

Answer 18

Let's look at Kobe's points per game:
8, 15, 10, 10, 10, 15, 7, 8, 10, 9

Would you please re-arrange these data in ascending order?

Answer 19

ok so like from least to greatest right? so it would be 7, 8,8,9, 10,10,10,10,15,15

Answer 20

Thanks. Now, what is n, the number of data points?

Answer 21

as in how many are there or what do they all add up to?

Answer 22

how many data points have you? to save time: n=10.
OK! If n is even, as 10 is, then we have to take the middle two data points, average them, and call the result the MEDIAN. Here: (10+10)/2 =?

Answer 23

10+10/2 = 10

Answer 24

Right. So now you have your MEDIAN: 10.
How do we find Q1? Take the left 5 data points and choose the middle point. That's Q1. What is it?

Answer 25

8

Answer 26

i have one question what about the other points will we get to them later?

Answer 27

that's your Q1. Now look at the rightmost 5 data points (the right half of your data set) and identify the data value that's in the middle.

Answer 28

For the other athlete, you'll do precisely the same thing to construct a box plot for him.

Answer 29

So would it be 10?

Answer 30

I 'm not actually checking your work, but that does look correct.
Call your latest result Q3.
Then identify the smallest data value
Then identify the largest data value.

Arrange these 5 numbers in ascending order, and then draw your box plot from that data.

Answer 31

smallest would be 7 and biggest would be 15

Answer 32

then your 5-number summary is 7 8 10 Q3 15.

See whether you agree or not. Can't find your Q3.

Answer 33

wouldnt my Q3 be 10?

Answer 34

Hold

Answer 35

Yes, I agree with that. Once you have this 5 number summary, how do you graph the box plot?

You need to do precisely the same thing with the data for the other player.

Answer 36

im not sure how to graph it...

Answer 37

could you maybe help me through the process of graphing the box plot?

Answer 38

thank you for all your help!!! i got How to plot it!!! :)

Answer 39

If you know the starting vale, q1, q3, and the highest value often referred as maximum then you can plot it.

The median of the box would be q3-q1, then just draw a straight line across the box

Answer 40

Many thanks!