The stem-and-leaf plot

Question

The stem-and-leaf plot

shows the heights in centimeters of Teddy Bear sunflowers grown in two different types of soil.

Soil A| |Soil B
| 5 |9
5 2 1 1| 6 |39
510| 7 |023678
21| 8 |3
0| 9 |

Key: 9|6 means 69, Key: 5|8 means 58

a) Describe the overlap of the two sets of data.

b) Calculate the mean of each data set.

c) Calculate the mean absolute deviation (MAD) of each data set.

d) Which set is more variable? How do you know?

Answer 1

Okay, I am from Connexus and yes I'm looking on here for answers so you can call it cheating but I'm at the end of my school year and I'm way behind so I said screw it and I just want to get it done, and to whoever harasses people for "cheating" go get a life and stop judging people for what they're doing, we honestly don't care about your opinion

Answer 2

Overlap: 22

Mean:|A: 71.8 |B: 72
MAD:|A: 8.16 |B: 5.4
Soil A is more variable, because the MAD is higher

I did it now stop

Answer 3

First you need to be able to interpret the stems and leaf plot (since there are two stems).

The two bars enclose the 10's digit, and the numbers to the left of the first bar represent the units digit for soil A, and the numbers to the right of the second bar stands for the units digit of soil B.
Therefore:
Soil A has data recorded as:
61,61,62,65,70,71,75,81,82,90
Soil B has data recorded as:
59,63,69,70,72,73,76,77,78,83

a. The overlap is the range of data that is common to both soils, namely between 61 (from soil A) and 83 (from soil B).

b. The mean is the average, calculated by adding up all data and dividing the sum by the number of values.
Soil A:
(61+61+62+65+70+71+75+81+82+90)/10=71.8

c. the mean absolute deviation (MAD) is also called the mean deviation. This is obtained by adding the difference between each value and the mean, but without regard to the sign. The sum is then divided again by the number of values.
MAD for soil A
= ((71.8-61)+(71.8-61)+(71.8-62)+...
+(71.8-71)+(75-71.8)+(81-71.8)+(82-71.8)+(90-71.8))/10
=8.16

d. compare the size of MAD for each soil.
MAD measures the variability of a dataset.

Answer 4

i agree with peoplesuck123

Answer 5

ya'll call it cheating we call it teamwork.

Answer 6

I agree with HelpfulStudent haha. I am so behind and only a few weeks of school left I'm just trying to catch up but some people are too ignorant to help a girl in need. Call it what you will but I call it getting caught the f&6k up on schoolwork before I get held back!

Answer 7

STOP ALL THIS DRAMA

This site is to help people with there math problems ok people

Answer 8

is that right?

Answer 9

i hope y’all have a better math grade then i do, im behind rn and it’s a 52...im trying to catch up and it’s 10 at night rn ._. thanks for helping everyone ilysm i hope you have a great summer

Answer 10

all I came here for were the answers not some dance moms drama...also not everyone cheats some people come here to check their answers like me because we might have strict parents who are mad about a 92

Answer 11

i try to fix the data but it doesnt work ... :(

Answer 12

Oh my atlanta can we just stop with all of the camplaining and crap.ITZ DONE

Answer 13

I am too preslie! do you go to connexus?

Answer 14

guys and girls this is not cheating it is secret school answer communism!

Answer 15

please help this is confusing... :|

Answer 16

I do to go to connexus.

Answer 17

Wow @Anonymous you showed him you were better than him, jk d-bag

Answer 18

I came here looking on how to do this one question for the unit test because it confused me and then I see this. lmao

Answer 19

what did i just stumble upon. all i wanted is help, not weird drama from 2017

Answer 20

I know the aNSWERS

Answer 21

Thank you for the help ._.

Answer 22

wow this is still going on here is the answer to the quistion asked btw subscribe to my youtube

gamer wolf_izzy

1. if there were 40 turtles tagged in 2009 16/50=32 percent of the population was taged making the population 40/.32=125
in 2010 8/30=26.7 percent of the population was tagged so the population is around 150

2.the mode is 58 because it is the most frequent number the median 86-75=11 because you put the numbers in order rfom least to greatest and grab the two middle numbers then subtract the mean is 468 divided by 6 equils 78 because you have to add all of the numbers in the set then divide by how many numbers there is

3.Overlap: 22
Mean:|A: 71.8 |B: 72
MAD:|A: 8.16 |B: 5.4
Soil A is more variable, because the MAD is higher

i dont care if you copy and past just make sure to change some words in it

follow my ig gamer wolf_izzy and youtube
gamer wolf_izzy

Answer 23

Why Does Everybody On Jiksha Capitalize All Of Their Words

Answer 24

Here's the correct answer!

1. if there were 40 turtles tagged in 2009 16/50=32 percent of the population was taged making the population 40/.32=125
in 2010 8/30=26.7 percent of the population was tagged so the population is around 150

2.the mode is 58 because it is the most frequent number the median 86-75=11 because you put the numbers in order rfom least to greatest and grab the two middle numbers then subtract the mean is 468 divided by 6 equils 78 because you have to add all of the numbers in the set then divide by how many numbers there is

3.Overlap: 22
Mean:|A: 71.8 |B: 72
MAD:|A: 8.16 |B: 5.4
Soil A is more variable, because the MAD is higher

Hope it helps! <3

Answer 25

I just come here to check my answer and theres a full on war zone lmao what did I just witness

Answer 26

@People123 I agree. Finally someone who gets it!!!

Answer 27

JUST STOP FIGHTING ALREADY! THIS FIGHT STARTED LIKE 4 YEARS AGO!!!! YOU PEOPLE ARE REDICULOUS! ARGH!!!!

Answer 28

Annoymous you're maybe the Worst To cause Drama first of all Because You're Comment is stating that she's or he's "Autistic" Which is Very Offensive and Rude. If you wouldn't have Responded To her Or his Comment, I'm pretty Sure a lot Of other's wouldn't have bothered to go On without any Complaint. So technically you started this mayhem you always Do.

Answer 29

i just wanna life my life

Answer 30

u guys r so childish, stop w the arguing.

Answer 31

lol you put a bunch of kids/some teens on a app and they go crazy over drama be respectful this is a homework app not facebook if you wanna fight theres some good material on there, its cheating but teamwork everybody has there own choice and options the people saying why are you cheating or cheater then why are you on this app. go ahead Tell me?

Answer 32

I am actually neurodivergent and i think its kinda funky how people thought they could diagnose other people with autism !!! i actually was diagnosed by an expert with autism and adhd !! just because they need help and need to cheat don’t mean they autistic <3

Answer 33

fine i'll do it by myself... ;/

Answer 34

THANK FRIEKING GOG!!!!!!

Answer 35

bruh this is online school and there still drama pshs

Answer 36

JSJSJSJSKSKJD I CANT STOP LAUGHING HELP "i have a life to life" HAAAAAAAAAAAAAAAAJDHHAHHGEWUJIASKCGEHDWKJXMALAMWOAWSIW

Answer 37

"Always remember to life your life" HAAAJJJREJWQQIWVIEWQJSHELPJS

Answer 38

Benis Burger

Answer 39

Angel Answers thank you I knew the first two questions but the last one was hard.

Answer 40

How do you overlap it by 22?

Answer 41

If you are just here to hate just go, no one wants to see you complain in the comments. I can promise you no one wants hate, so like go away.

Answer 42

Ok anonymous that’s really rude to assume somone is autistic becasue i take it very offensive becasue i’m autistic and people who are autistic acually have a higher IQ then most people so maybe if you had a brain you wouldn’t have to look online for the anwsers and you could just do it yourself 🙄

Answer 43

pov: its 2022 and ur looking for help but everyone is talking about random stuff

Answer 44

What in the 💣👍☞☼✋👍😐 is going on anymore-

tbh tho it IS school, ofc theres drama.

Answer 45

@PeopleSuck123 YES I AGREE WITH YOU 100%

@Ceri you are now my best friend because you used WingDings!
@Lol I think bot quit his job :/

Answer 46

Did you guys know that one of the questions on that question were deleted.

Answer 47

Can y'all calm down...

Answer 48

Almost Everybody Atleast

Answer 49

Y do I have to live in a world of drama for no reason at all

Answer 50

BTW everyone if you just put a comment on something it doesn't mean you have autism and FYI here is the definition-a developmental disorder of variable severity that is characterized by difficulty in social interaction and communication and by restricted or repetitive patterns of thought and behavior. no bad feelings BTW

Answer 51

GOODBYE I JUST WANTED HELP W MY HOMEWORK

Answer 52

yall goofy for putting your real names the teachers will find out about you.

use a fake name like me and other people on this app.

Answer 53

I just needed answers for connexus ya had a full on war zone df

Answer 54

@K YOU THOUGHT YOU ATE LMAOAKAOAK IM CRYINF

Answer 55

jesus christ people just get your trash together and stop talking about drama and dumb garbo like that

Answer 56

a)

X[bar]= 71.8cm

X[bar]= 72cm

b)

M.A.D.= 8.16cm

M.A.D.= 5.4cm

c) The data set for Soil A is more variable.

Step-by-step explanation:

Hello!

The data in the stem-and-leaf plots show the heights in cm of Teddy Bear sunflowers grown in two different types of soil (A and B)

To read the data shown in the plots, remember that the first digit of the number is shown in the stem and the second digit is placed in the leaves.

The two data sets, in this case, are arranged in a "back to back" stem plot, which allows you to compare both distributions. In this type of graph, there is one single stem in the middle, shared by both samples, and the leaves are placed to its left and right of it corresponds to the observations of each one of them.

Since the stem is shared by both samples, there can be observations made only in one of the samples. For example in the first row, the stem value is 5, for the "Soil A" sample there is no leaf, this means that there was no plant of 50 ≤ X < 60 but for "Soil B" there was one observation of 59 cm.

X represents the variable of interest, as said before, the height of the Teddy Bear sunflowers.

a) To calculate the average or mean of a data set you have to add all observations of the sample and divide it by the number of observations:

X[bar]= ∑X/n

For soil A

Observations:

61, 61, 62, 65, 70, 71, 75, 81, 82, 90

The total of observations is n= 10

∑X= 61 + 61 + 62 + 65 + 70 + 71 + 75 + 81 + 82 + 90= 718

X[bar]= ∑X/n= 218/10= 71.8cm

For Soil B

Observations:

59, 63, 69, 70, 72, 73, 76, 77, 78, 83

The total of observations is n= 10

∑X= 59 + 63 + 69 + 70 + 72 + 73 + 76 + 77 + 78 + 83= 720

X[bar]= ∑X/n= 720/10= 72cm

b) The mean absolute deviation is the average of the absolute deviations of the sample. It is a summary of the sample's dispersion, meaning the greater its value, the greater the sample dispersion.

To calculate the mean absolute dispersion you have to:

1) Find the mean of the sample (done in the previous item)

2) Calculate the absolute difference of each observation and the sample mean |X-X[bar]|

3) Add all absolute differences

4) Divide the summation by the number of observations (sample size,n)

For Soil A

1) X[bar]= 71.8cm

2) Absolute differences |X-X[bar]|

|61-71.8|= 10.8

|61-71.8|= 10.8

|62-71.8|= 9.8

|65-71.8|= 6.8

|70-71.8|= 1.8

|71-71.8|= 0.8

|75-71.8|= 3.2

|81-71.8|= 9.2

|82-71.8|= 10.2

|90-71.8|= 18.2

3) Summation of all absolute differences

∑|X-X[bar]|= 10.8 + 10.8 + 9.8 + 6.8 + 1.8 + 0.8 + 3.2 + 9.2 + 10.2 + 18.2= 81.6

4) M.A.D.=∑|X-X[bar]|/n= 81.6/10= 8.16cm

For Soil B

1) X[bar]= 72cm

2) Absolute differences |X-X[bar]|

|59-72|= 13

|63-72|= 9

|69-72|= 3

|70-72|= 2

|72-72|= 0

|73-72|= 1

|76-72|= 4

|77-72|= 5

|78-72|= 6

|83-72|= 11

3) Summation of all absolute differences

∑ |X-X[bar]|= 13 + 9 + 3 + 2 + 0 + 1 + 4 + 5 + 6 + 11= 54

4) M.A.D.=∑ |X-X[bar]|/n= 54/10= 5.4cm

c)

If you compare both calculated mean absolute deviations, you can see M.A.D. > M.A.D.. As said before, the M.A.D. summary of the sample's dispersion. The greater value obtained for "Soil A" indicates this sample has greater variability.

I hope this helps!

Answer 57

Hehe 69 is the key? Nice.

Answer 58

Just checkin my answers... Also every now and then I inspect answers and stuff on some connexus quizzes and tests... If you see my name answering a question, I promise you can trust me.

Answer 59

Anonymous, autistic does not equal stupid. You are the one who should get a life and stop making ignorant comments like that. Just leave it alone.

Answer 60

Equal stupid*

Answer 61

I don't know, people be crazy

Answer 62

IM DEAD LMFAOOAO

Answer 63

But people123 why are you on here if you think this is cheating. You would have to be looking for answers to….

Answer 64

hey ceri wassup

Answer 65