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Mode vs Median vs Range vs Avg vs Deviation

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Mode vs Median vs Range vs Avg vs Deviation [#permalink] New post 10 Oct 2008, 20:29
Hello Friends

Can some one shed some light on this 5 things..?

I am 80% clear but facing some problem when encounter related example in test.

It is taking much time then anticipated.

Please provide me some info. regd same.

I am okay if someone paste 4 example (2 for odd numbers( positive +negative) and 2 for ( positive +negative)). or some nice tutorial link and 2-3 live example


Thanks
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Re: Mode vs Median vs Range vs Avg vs Deviation [#permalink] New post 11 Oct 2008, 05:06
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Mode is the frequency of a number in a series of numbers:
For eg: 2 4 2 5 2 6 2 7 2 8 ===> mode is 2 as it is occurring the most times

Median is the middle number:
For eg: 1 2 3 4 5 ==> In this case the median is 3. If there are even number of numbers, the median is the average of the middle two numbers.

Range is the distribution of the numbers:
For eg: 1 2 3 4 5 ==> the range is 5 - 1 = 4

Average is average!
For eg: 1 2 3 ==> (1+2+3)/3

Deviation is the distance of a number from the average:
For eg: 1 2 3 4 5
Step 1: Find mean (average) of 1 2 3 4 5
Step 2: Find diff between mean and each number
Step 3: Square each difference
Step 4: Find square root of "the average of the squared numbers" ==> this is SD

Some rules:
SD is never larger than range
If a set has a low SD, the terms are relatively close to the mean

I hope this helps.
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Re: Mode vs Median vs Range vs Avg vs Deviation [#permalink] New post 11 Oct 2008, 07:31
Thanks man... it will really help evey one.
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Re: Mode vs Median vs Range vs Avg vs Deviation [#permalink] New post 12 Oct 2008, 17:34
Out of curiosity, what is the mode for 2,3,4,5,6,7,8 ?

Is it all or none ?
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Re: Mode vs Median vs Range vs Avg vs Deviation [#permalink] New post 12 Oct 2008, 19:21
LiveStronger wrote:
Out of curiosity, what is the mode for 2,3,4,5,6,7,8 ?

Is it all or none ?


I guess it would be none. No element is occurring "most" number of times.
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Re: Mode vs Median vs Range vs Avg vs Deviation [#permalink] New post 16 Oct 2008, 18:17
what is SD of following series?

SR: 1,2,3,4,5

Mean= average:3

Diff: 2,1,0,1,2

Sqr of diff:4 ,1,0,1,4

Avg: 10/5 =2

now do we need to find root of 2 to get SD?

and one more question.

what is mode of following series?

sr1:1,1,2,2,3,3

sr2: 4,4,5,5

Thanks
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Re: Mode vs Median vs Range vs Avg vs Deviation [#permalink] New post 16 Oct 2008, 22:29
amitdgr wrote:
LiveStronger wrote:
Out of curiosity, what is the mode for 2,3,4,5,6,7,8 ?

Is it all or none ?


I guess it would be none. No element is occurring "most" number of times.



The mode for this is all as each element is occuring 1 time.
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Re: Mode vs Median vs Range vs Avg vs Deviation [#permalink] New post 16 Oct 2008, 22:31
vishalgc wrote:
what is SD of following series?

SR: 1,2,3,4,5

Mean= average:3

Diff: 2,1,0,1,2

Sqr of diff:4 ,1,0,1,4

Avg: 10/5 =2

now do we need to find root of 2 to get SD?

and one more question.

what is mode of following series?

sr1:1,1,2,2,3,3

sr2: 4,4,5,5

Thanks




The SD is 1.414 which is the square root of 2 and the mode in both cases are the elements ie;

sr 1 mode = 1, 2 and 3
sr 2 mode = 4 and 5
Re: Mode vs Median vs Range vs Avg vs Deviation   [#permalink] 16 Oct 2008, 22:31
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