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Mathematics 21 Online
OpenStudy (anonymous):

dentify the outlier in each data set. Th en fi nd the mean, median, and mode of the data set when the outlier is included and when it is not. 16. 947 757 103 619 661 582 626 900 869 728 1001 596 515 @amistre64

OpenStudy (amistre64):

youre gonna want to sort the set to start off with

OpenStudy (anonymous):

there are 13 numbers

OpenStudy (amistre64):

we are not really asked for positions here; so you will have to know the definitions of the words they use

OpenStudy (anonymous):

the outlier is the largest number

OpenStudy (amistre64):

mode is number used most often, median is a postion ... the number in the middle of it all, and mean is a mathical calulation an outlier is not really the largest number, its more of a number that doesnt seem to fit in; it can be large or small, but it just doesnt seem to fit in with the rest

OpenStudy (anonymous):

so 16

OpenStudy (amistre64):

is 16 part of the data set, or is that just eh number of the problem you are doing?

OpenStudy (anonymous):

well i gues its 103 because i dont think 16 is in there

OpenStudy (anonymous):

yeah my bad....i dont think 16 is supposed to be there lol

OpenStudy (amistre64):

{103, 515, 582, 596, 619, 626, 661, 728, 757, 869, 900, 947, 1001} 103 seems to be a bad fit, i agree 1001 seems to be about 50 away, and there are others that are about 50 apart so i would say that one is not an outlier.

OpenStudy (amistre64):

none of the numbers are used more than once, so we say there is no mode.

OpenStudy (amistre64):

13 numbers, so the median is the 13/2 = 6.5, rnd up ... the 7th number

OpenStudy (amistre64):

this is assuming we havent removed the outlier yet

OpenStudy (anonymous):

whats the 7th number

OpenStudy (amistre64):

i posted a sorted list ....

OpenStudy (anonymous):

oh lol i see that

OpenStudy (anonymous):

is that it?

OpenStudy (amistre64):

thats a part of what the question is asking for it wants you to determine an outlier: 103 and find the mean, mode, median of the set both with and without the outlier included

OpenStudy (amistre64):

the median changes, the mode does not since none of the numbers are used more than once, and the mean will change as well

OpenStudy (anonymous):

i have the median thats it

OpenStudy (amistre64):

you also have the mode and outlier

OpenStudy (anonymous):

and outlier. wheres the mode

OpenStudy (anonymous):

nevermind

OpenStudy (anonymous):

okay so whats the mean

OpenStudy (amistre64):

the mean is a calculation, sum up the numbers in the data set, and divide by how many there are

OpenStudy (amistre64):

\[A = \{a_1,a_2,...,a_n\}\] \[mean~of~A=\frac{a_1+a_2+...+a_n}{n}\]

OpenStudy (anonymous):

well i know the definition lol

OpenStudy (anonymous):

got it thank you

OpenStudy (amistre64):

now remove the outlier and the median changes, and the mean changes

OpenStudy (anonymous):

i didnt include them

OpenStudy (anonymous):

i will have more questions tomorrow

OpenStudy (amistre64):

good luck :) im not always here, but there should be someone around that can help

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