Question

I REALLY NEED HELP UNDERSTANDING THIS MATH PROBLEM!!

Answer 1

A math teacher assigns anywhere from 15 to 35 problems for homework three nights a week. Over the past three weeks, she recorded the number of problems in each assignment and made the box plot shown above. Which of the sets of numbers below matches the given box plot?

Answer 2

A. Number of Problems: 15, 20, 22, 22, 23, 25, 28, 30, 35
B. Number of Problems: 15, 20, 22, 22, 22, 25, 26, 30, 35
C. Number of Problems: 15, 20, 22, 22, 22, 25, 28, 30, 35
D. Number of Problems: 15, 17, 22, 22, 22, 25, 28, 30, 35


Hold on. Lemme link the pic to the problem....

Answer 3

https://media.studyisland.com/pics/160794question5.png

Answer 4

So I'm not sure, but I think the way to do this would be to average the sets of potential answers and find which one has an average that coincides with what your box plot shows? Does that sound right?

Answer 5

It does a bit

Answer 6

Like it looks like only D averages out to 21 exactly. Since 21 is where the middle line of the box plot is, doesn't that mean that that's the average?

Answer 7

I actually thought it was D, but I wasn't sure

Answer 8

I think so, yea. It's got lots of lower stuff, so it makes sense that Q1 is near the avg.

Answer 9

Lots of higher stuff and Q3****

Answer 10

No it's not D

Answer 11

Wow, really? I need to stop answering questions. It's clearly too late for my brain. So you know what the real answer is then?

Answer 12

No. I'm doin SI (Study Island). And in SI if u get an answer wrong it just marks an X over it. So, I still dun know the answer

Answer 13

I'm assuming this is for a stats class?

Answer 14

Idk what the really is

Answer 15

ok look at the plot... you need a max of 35 and a min of 15... you also need a median of 22

so that eliminates A

Answer 16

Yea, so I'm stuck with B or C. And ik it's not D either cuz I just tried that answer

Answer 17

so are you in the US...?

as quartiles are calculated differently in the US to some other countries...

but basically you are looking for a data set with Q1 = 21 and Q3 = 29

Answer 18

un the US the median is included when calculating the quartiles... other countries exclude the median...

Answer 19

I'm from the U.S.
Yea, I got that.
The median is 22, right?

Answer 20

correct... so do you include the median when calculating quartiles...?

Answer 21

looking at the data sets the median is excluded...

Answer 22

Ok, so far I got:
Q1= 21 Q2= 29 MEDIAN= 22
So, how do I figure out which answer choice it is?

Answer 23

well B, C and D all fit the max, min and median values...

so if you exclude the median is set B



to find the quartiles add the scores either side then find the average