Answer the following questions: 

 

 I would use the mean because the mean is the average between all of the numbers. The median and the mode dont really use all the numbers they just choose one of the numbers and use it. The mean is a genuine statistic for the numbers. 

 

 The mean because once again as I mentioned before the mean uses all of the numbers and then gives us an average.

 

It would be a fine although its not a complet census because it only has pur family members.

 

The mesure of the central tendency was most changed by the 'At home activity' because some people got their grandmothers and older, people.

 

representative in the original data set? Justify your choice. 

The central tendency that is the most appropriate to the original data is mean because the median is the middle number, and the mode is the most often number which don’t really tell us much.

2. Which central tendency was the most representative for the data set that 

contained the additional At Home Activity? 
The mean was the most representative in the home activity because the median, middle number, didn’t really do anything(there was no mode). 

3. If we only had the data from the At Home Activity, would that be a good 

representation of the data set? Why or why not? 

The at home activity would not be a good representation for the data set because there was only the data of a few people whereas in the other set of data there were a lot of people and therefore was a better overview of mean, median, and mode.

4. Which measure of central tendency was most changed by the addition of the 

data set from the At Home Activity? Why do you think may be the case? 
The mesure of central tendency that was most changed by the data from the at home activity was the median. This is most likely because as there were different sets of data and so the middle number changed depending on the set of numbers there was.

Compare the new central tendencies (MMM) to the original central tendencies (MMM). 

 

Answer the following questions: 

 1.Which central tendency, mean, median or mode was most appropriate or 
 representative in the original data set? Justify your choice. 
I would say the mean is the most appropriate central tendency for this set of data. Mode wouldn't be as appropriate for it's just the number that appears the most often. The median is the middle of all the numbers. The mean is most appropriate because it's the average of ALL numbers as mode and median use 1 (or 2 (median)) number out of all of them.   

 

 2. Which central tendency was the most representative for the data set that
 contained the additional At Home Activity? 
Like the other set of data, the average is probably the most appropriate for this set of data. The mode and median doesn't say as much as the mean.  

 

 3.If we only had the data from the At Home Activity, would that be a good 
representation of the data set? Why or why not?
Just having the data from the 'At Home Activity' wouldn't be a good representation of data. Although it may serve the purpose of what was suppose to be done/calculated, it's mixed between different age groups. If this set of data were just adults or children it would be a good representation of data as it's just the data of one thing. If there were two separate pieces of data, one being for adults and the other for children, you can actually compare it properly without having something else mixed into it. 

 

 4.Which measure of central tendency was most changed by the addition of the 
 data set from the At Home Activity? Why do you think this may be the case?
The measure of central tendency that was most changed was the mode. Although the difference between one of the medians was 133 to 140, the mode had more of a change. (111 to 122 and 20 to 15). This may have been the because of the additional numbers from the other set of data after it was combined (with the at school activity). 

Well in my opinion mean was the most appropriate representative to show the data. The mean was very appropriate to represent the data as it is the average of all the data and not just the middle number or the number that came up the most.

2. Which central tendency was the most representative for the data set that  
contained the additional At Home Activity?  

Well I would say that mean is the most appropriate central tendency representative. As it is showing us the average of all the data and not just the middle number or the number that comes up the most. 

3. If we only had the data from the At Home Activity, would that be a good  
representation of the data set? Why or why not?  

Well if we only had the data from the at home activity it would be 50/50 as two of the information's are correct and close while two are different. The length of the shoes are both having an average of 26-27 cm and that the circumference of heads were very close both averaging about 54 - 55 . While jumping in form a still position and jumping jacks were far off from the data we got in class. So the data at home would not be a good representation of the data we got in class.  

4. Which measure of central tendency was most changed by the addition of the data set from the At Home Activity? Why do you think may be the case?  

Well the only in one the mode was the same so the mode was the most changed in the activity. I think this is because many people have different shoe sizes, different head sizes and many other people aren't athletic and can't jump that far or do many jumping jacks. I feel that the biggest cause is that most of us used people older than us who may or may not big out of shape

   

 

I believe the mean is the best central tendency by far. Firstly, mode shows the most common number so it wouldn't give the "best" idea of the shoe size, distance you can jump, etc. Median is flawed because if there are many outliers, the median would give a false idea of the middle. Mode would give the best idea as it includes all the numbers and gives you the exact middle if the numbers were put together.

 

 

I believe the mean is the best way to represent the data. Median and mode could be flawed and give a false idea. The average never gives a false idea and use all the numbers.

 

 

I believe it would be a good representation as the central tendencies are very close to each other. If you took the mean from the at school data and put it together with the median and mode from at home data, you would think its from the same data.

 

 

In my opinion, I think that mean is not only the most appropriate, but, also the most representative in this piece of data. Why? Because, specifically in this situation the most common number and the middle number are not really important/ necessary. In this situation, we found out the mean, median and mode of our classes shoes size, distance of jump, number of jumping jacks in 15 seconds and the circumference around our heads. I few are comparing something the median would be the best, because it shows which one is the middle, this would be useful because it shows which amount/number would be the middle number, one would do that  so that you don't show a low amount or one that's too high that it doesn't look realistic. Using the mean when someone looks at they would say, Oh looks like this classes shoe size is around 26.6 cm.

  

 

 

As I said in the question above, mean would be the most appropriate because, with the mean/average one could see what is the approximate result of lets say number of jumping jacks in 15 seconds.

 

 

If we only had the data from the At Home Activity, I would still say that the mean would be the best representation. Why? Because, the mode is usually just representing the most common of something such as shoes size, median is chosen when you want to be sure that the number represents the midpoint in a list of values, and lastly mean is used when you want to know the average value in a set of values, so I would still use the mean even if we only had the data from the At Home Activity, Why? Because, it would show that everyone's value/result is around this number.

Central Tendency - Which Measure is Best?

https://www.wyzant.com/resources/lessons/math/prealgebra/representing-data 

In the home activity, the central tendacy that changed the info the most would probably be the mode. Why? Because as you can see the mean is around 26, the media is even 26, but since 24 is the most common value it looks like almost everyone is 24 cm in shoe size, the mode is downgrading the average and the middle value by two. I think this might be the case because since, the mode is the common difference in the given data, what happened is that the most common shoe size is 24 cm.

 

The central tendency, mean was the most appropriate and representative in the original data set because it is the average. It show the number that is averaged out which means that it is the number expressing the central or typical value in the set of data. The average show the ideal number of that certain attribute. The median is close , and the mode is sometimes completely different therefore making the average the best portryal.  

I still believe that the average would be  the best representative because it represents all of the data as a whole while the mode and the median centeres out a single number. The mean takes all of the numbers and find the number that would sow all of it. The average shows the ideal number out of the set.

 

 Yes I believe that it would be an okay representation because the number are never really that far off of each other. Yes there is one that is a bit of but there is not darastic difference.

 

The mode definatly changes the most due to the fact that it is the most common number. This means that the avearage could be something gtotally different then the mode.

I think mean would be the most appropriate representation of the data, because it gives you the overall average of the distance jumped, etc. The mode would not be a very good representation as it just tell you the most common number. The median would also work as a representation as both mean and median are really close numbers, but I would've used mean to represent the data, myself.

2. Which central tendency was the most representative for the data set that 
contained the additional At Home Activity?  
Once again, like question 1, I believe both mean and median would work as good representations, but I would use mean if I were to represent it myself.

3. If we only had the data from the At Home Activity, would that be a good  
representation of the data set? Why or why not?  

Yes, I think that the At Home data is not far of from the original set of data, so it wouldn't be a bad representation of the data set.

4.Which measure of central tendency was most changed by the addition of the  
data set from the At Home Activity? Why do you think may be the case?  
In the length of shoe data, mean changed the most. In the distance jumped mode changed the most. In head circumference mean changed the most. And in jumping jacks, mode changed the most. Although the mean was slighty atltered in all of the sets, and the mode was the same in two and way off in the other two, i think mode was overall changed most by the additional data. It was first changed by 11 cm and 5 jumping jacks. The difference is quite big and that's why I think it changed the most.

 

Answer the following questions: 

 

Mean, in my opinion is that most appropriate central tendency to represent the original data set. In this activity we found the size of our feet, the circumference of our head, how long we can jump and how many jumping jacks we can do in 15 seconds. Mean helped us find the average. Mode might of been helpful if  (it was a soda, I was thirsty) we wanted to find the most common number but after finding the mean, how will that help. For this activity mode was not helpful, but the median was appropriate for this data set as well because both mean and median were close in numbers.

   2.  Which central tendency was the most representative for the data set that  
        contained the additional At Home Activity?  
The at home activity was the same activity we did at school but with the twist that we made three or four of our friends/family do it and see the difference with their results and the result of our class. Like mentioned in question one I think that the mean is the most appropriate central tendency because it helped us find the average. Median is also a good representative for the new set of data we got but mode won't be as helpful.

   3.   If we only had the data from the At Home Activity, would that be a good  
         representation of the data set? Why or why not?
I say it would be a good representative of the data set because when we compared the two sets of data the numbers were that different and surprisingly really close. Looking at the two set of data and looking at the sizes of our shoes in cm the numbers for the size of our shoes in our class and the home activity the data were all the same, the mean, median and mode were all the same. Just the mean were .02 off.  

   4.   Which measure of central tendency was most changed by the addition of the?
I saw that the distance that one can jump in cm changed the most. ( I Dont understand this question)

1. Which central tendency, mean, median or mode was most appropriate or  
representative in the original data set? Justify your choice.  
in my beliefs it would be Mean because it shows the average of all the outputs and it shows how close you are to the others.

 

 2. Which central tendency was the most representative for the data set that  
contained the additional At Home Activity?   
the Mean would also be a good for that cause it shows the average from your neighbored hood

 

 3. If we only had the data from the At Home Activity, would that be a good  
representation of the data set? Why or why not?  
yes because everyone would be doing that and it would be enough
for that and we wouldn't do it in class so we wouldn't know.

4. Which measure of central tendency was most changed by the addition of the  
data set from the At Home Activity? Why do you think may be the case?  

distance we jumped. because there are more older poeple and they cant jump as far as we do cause were better than older poeple.

 

I think mean would be the best central tendency to use because its all of the data collected, added up and shown the average for each.

 

 

 Mean would be the most representative for the data, median would also be a good representative for the data. 

 

 

 
   2. Which measure of central tendency was most changed by the addition of the  data set from the At Home Activity? Why do you think may be the case?  

 

In my opinion mean would be the best because mean shows the average of all your numbers

 

 

 

 

 

 

 

 Mean is the most appropriate/representative of the original data because you can see the average of the numbers. 

 

 Mean is also the most appropriate central tendency because once again it gives us the average of the numbers. Mode would also be a good central tendency because you can see which number occurs the most. 

 

"the distance from which I can jump" had the biggest difference. that was probably because older people were used therefore they do not have the same ability as we did.

 In my opinion, mean is the best way to present the data. There were 70 people who did it. Mode doesn't tell a lot things. Median is in the middle number it is somewhat good but since their is more people. However, mean is the best way because their 70 people and the average is the best.
2) Which central tendency was the most representative for the data set that  
contained the additional At Home Activity?  

 Mean is a good central tendency because it show the average. Median is also good because it is the number in the middle.

3) If we only had the data from the At Home Activity, would that be a good  
representation of the data set? Why or why not?  

 Yes it would be good because there are 70 people who did the thing so it would be good data.

4) Which measure of central tendency was most changed by the addition of the  
data set from the At Home Activity? Why do you think may be the case?  

 Depending on the number the mode, and median could change. Unless the number is really close to the mean, the mean will certainly change