Hi,
Is there a way to calculate multiple sets of ten different numbers which have values that result in the mean, mode and median of those numbers being a single value? If so, how does one do this?
esselte said:
Hi,Is there a way to calculate multiple sets of ten different numbers which have values that result in the mean, mode and median of those numbers being a single value? If so, how does one do this?
Hope that helps.
esselte said:
Hi,Is there a way to calculate multiple sets of ten different numbers which have values that result in the mean, mode and median of those numbers being a single value? If so, how does one do this?
Any set of 9 sequential integers, with the middle value repeated, will satisfy those requirements, other than all being different.
If all the numbers are different it won’t have a mode.
The Rev Dodgson said:
Any set of 9 sequential integers, with the middle value repeated, will satisfy those requirements, other than all being different.
Sorry mate, I don’t quite follow.
9 sequential integers with middle value repeated… is this like 101,102,103,104…. being an example of those integers?
esselte said:
The Rev Dodgson said:Any set of 9 sequential integers, with the middle value repeated, will satisfy those requirements, other than all being different.
Sorry mate, I don’t quite follow.
9 sequential integers with middle value repeated… is this like 101,102,103,104…. being an example of those integers?
1,2,3,4,5,6,7,8,9,5 for example has a mean, median and mode of 5.
The Rev Dodgson said:
1,2,3,4,5,6,7,8,9,5 for example has a mean, median and mode of 5.
Gotcha, I was misunderstanding what you meant by “middle number”. Ta.
PermeateFree said:
esselte said:
Hi,Is there a way to calculate multiple sets of ten different numbers which have values that result in the mean, mode and median of those numbers being a single value? If so, how does one do this?
Hope that helps.
This is fake nerd!
esselte said:
The Rev Dodgson said:1,2,3,4,5,6,7,8,9,5 for example has a mean, median and mode of 5.
Gotcha, I was misunderstanding what you meant by “middle number”. Ta.
Someone’s homework?
I’ll admit that I’d completely forgotten what the mode was and had to look it up.
I’m finding this happening quite regularly lately. Elder sprog is doing VCE maths and often asks how she finds – insert mathematical term here – I flounder around and then get to look at the question. Normally it’s an ‘ahh’ moment in that ‘ahh, that’s what that’s called” :)
esselte said:
PermeateFree said:
esselte said:
Hi,Is there a way to calculate multiple sets of ten different numbers which have values that result in the mean, mode and median of those numbers being a single value? If so, how does one do this?
Hope that helps.
This is fake nerd!
Not so loud, there is logic to that.
The Rev Dodgson said:
Someone’s homework?
No, working on debunking or proving aspects of “race realism”, but it’s not homework. Just a hobby :)
It might just be easier to ask the question I want to ask. I’m reluctant, because such questions are most often met with non-engagement or over-engagement, rather than the level of engagement appropriate to the question.
I’m talking Intelligence Quotient scores.
Assume the following are all true (please note I do not necessarily think the following ARE all true), let’s just assume:
1) IQ tests are set such that 100 is the mean, mode and median IQ of any given population who’s IQ is being tested.
2) Purple people have an average IQ of 100.
3) Green people have an average IQ of 80.
4) Purple people make up 60% of the people being tested.
5) Green people make up 40% of the people being tested.
I’m trying to determine if it’s possible to come up with a set of IQ scores which could demonstrate that there is a greater number of people in the Green group who have an IQ above 100 than there is in the Purple group. It’s easy for the mean score alone, Purple100, Purple100, Purple100, Purple100, Purple100, Purple100, Green120, Green 110, Green100, Green70, for example, gives identical mean IQ scores of 100 for Purple and 100 for Green. In this case there are more Greens(120,110) above the average than Purples (100 av). However, the IQ scores recorded above do not comply with the requirements of assumption 1 in that the mean is 100, but the mode and median are not.
esselte said:
The Rev Dodgson said:
Someone’s homework?
No, working on debunking or proving aspects of “race realism”, but it’s not homework. Just a hobby :)
It might just be easier to ask the question I want to ask. I’m reluctant, because such questions are most often met with non-engagement or over-engagement, rather than the level of engagement appropriate to the question.
I’m talking Intelligence Quotient scores.
Assume the following are all true (please note I do not necessarily think the following ARE all true), let’s just assume:
1) IQ tests are set such that 100 is the mean, mode and median IQ of any given population who’s IQ is being tested.
2) Purple people have an average IQ of 100.
3) Green people have an average IQ of 80.
4) Purple people make up 60% of the people being tested.
5) Green people make up 40% of the people being tested.I’m trying to determine if it’s possible to come up with a set of IQ scores which could demonstrate that there is a greater number of people in the Green group who have an IQ above 100 than there is in the Purple group. It’s easy for the mean score alone, Purple100, Purple100, Purple100, Purple100, Purple100, Purple100, Green120, Green 110, Green100, Green70, for example, gives identical mean IQ scores of 100 for Purple and 100 for Green. In this case there are more Greens(120,110) above the average than Purples (100 av). However, the IQ scores recorded above do not comply with the requirements of assumption 1 in that the mean is 100, but the mode and median are not.
Edit: 3) green people have an average IQ of 97.5 – ie lower than the Purple people, and the first green is 110, like the second green……
Let me just repost the entirety of the bits I got wrong, which I’m likely still getting wrong.
3) Green people have an average IQ of 97.5….
I’m trying to determine if it’s possible to come up with a set of IQ scores which could demonstrate that there is a greater number of people in the Green group who have an IQ above 100 than there is in the Purple group. It’s easy for the mean score alone, Purple100, Purple100, Purple100, Purple100, Purple100, Purple100, Green110, Green 110, Green100, Green70, for example, gives identical mean IQ scores of 100 for Purple and 100 for Green. In this case there are more Greens(120,110) above the average than Purples (100 av). However, the IQ scores recorded above do not comply with the requirements of assumption 1 in that the mean is 100, but the mode and median are not.
esselte said:
3) Green people have an average IQ of 97.5….
I’m trying to determine if it’s possible to come up with a set of IQ scores which could demonstrate that there is a greater number of people in the Green group who have an IQ above 100 than there is in the Purple group. It’s easy for the mean score alone, Purple100, Purple100, Purple100, Purple100, Purple100, Purple100, Green110, Green 110, Green100, Green70, for example, gives identical mean IQ scores of 100 for Purple and 100 for Green. In this case there are more Greens(120,110) above the average than Purples (100 av). However, the IQ scores recorded above do not comply with the requirements of assumption 1 in that the mean is 100, but the mode and median are not.
Look, I’m drunk OK. It’s a long weekend and I got drunk. I’m trying to maths whilst drunk. What of it! Eh!
Despite the errors, hopefully you see what I’m getting at :)
esselte said:
The Rev Dodgson said:
Someone’s homework?
No, working on debunking or proving aspects of “race realism”, but it’s not homework. Just a hobby :)
It might just be easier to ask the question I want to ask. I’m reluctant, because such questions are most often met with non-engagement or over-engagement, rather than the level of engagement appropriate to the question.
I’m talking Intelligence Quotient scores.
Assume the following are all true (please note I do not necessarily think the following ARE all true), let’s just assume:
1) IQ tests are set such that 100 is the mean, mode and median IQ of any given population who’s IQ is being tested.
2) Purple people have an average IQ of 100.
3) Green people have an average IQ of 80.
4) Purple people make up 60% of the people being tested.
5) Green people make up 40% of the people being tested.I’m trying to determine if it’s possible to come up with a set of IQ scores which could demonstrate that there is a greater number of people in the Green group who have an IQ above 100 than there is in the Purple group. It’s easy for the mean score alone, Purple100, Purple100, Purple100, Purple100, Purple100, Purple100, Green120, Green 110, Green100, Green70, for example, gives identical mean IQ scores of 100 for Purple and 100 for Green. In this case there are more Greens(120,110) above the average than Purples (100 av). However, the IQ scores recorded above do not comply with the requirements of assumption 1 in that the mean is 100, but the mode and median are not.
In that example it’s not possible. With the conditions as stated the purples have 50% over 100, and the greens have 50% over 80, so even if the greens over 80’s were all over 100, they’d still only have the same number of over 100’s as the purples.
In actual IQ tests the scores approximate a normal distribution, so the greens would have many less over 100 than the purples (if we are talking about human IQs that is).
esselte said:
esselte said:3) Green people have an average IQ of 97.5….
I’m trying to determine if it’s possible to come up with a set of IQ scores which could demonstrate that there is a greater number of people in the Green group who have an IQ above 100 than there is in the Purple group. It’s easy for the mean score alone, Purple100, Purple100, Purple100, Purple100, Purple100, Purple100, Green110, Green 110, Green100, Green70, for example, gives identical mean IQ scores of 100 for Purple and 100 for Green. In this case there are more Greens(120,110) above the average than Purples (100 av). However, the IQ scores recorded above do not comply with the requirements of assumption 1 in that the mean is 100, but the mode and median are not.
Look, I’m drunk OK. It’s a long weekend and I got drunk. I’m trying to maths whilst drunk. What of it! Eh!
Despite the errors, hopefully you see what I’m getting at :)
OK, I’ll leave you to it.
The Rev Dodgson said:
In that example it’s not possible. With the conditions as stated the purples have 50% over 100, and the greens have 50% over 80, so even if the greens over 80’s were all over 100, they’d still only have the same number of over 100’s as the purples.
OK, thanks.
esselte said:
Hi,Is there a way to calculate multiple sets of ten different numbers which have values that result in the mean, mode and median of those numbers being a single value? If so, how does one do this?
Puts on thinking cap.
Choose a number that you want to be the mode, and choose the number of times you want that number to appear, eg. Suppose you want 10 to appear 4 times.
Split the remaining numbers into high and low groups such that the median remains on the mode, eg. three numbers less than 10 and three numbers greater than 10.
This ensures that the mode and median are the same. Now for the mean. Choose all but one of the non-mode numbers to be anything you like, eg. 1,2,3,15,20. Then calculate the value of the remaining number that is needed to make the mean equal to the mode, eg. 10*10-1-2-3-10-10-10-10-15-20=19.
The Rev Dodgson said:
If all the numbers are different it won’t have a mode.
sage
dv said:
The Rev Dodgson said:If all the numbers are different it won’t have a mode.
sage
Sage, Maple, Mathcad, Matlab, I’m sure that this information can be found in all these software systems.