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Mathematics 7 Online
OpenStudy (anonymous):

which of the following statements is true?

OpenStudy (anonymous):

https://media.glynlyon.com/g_alg01_2013/11/_m70836d.gif median < mode median = mode median > mode

OpenStudy (anonymous):

I know how to find Mode and the median . but not on this format

ganeshie8 (ganeshie8):

mode is the most frequently occurring observation

ganeshie8 (ganeshie8):

here, "y axis" represents, "how many times" a particular observation occurred

ganeshie8 (ganeshie8):

so, mode is the highest bar... which is ?

OpenStudy (anonymous):

Well wouldnt the mode be 4? it is the most occurring number?

ganeshie8 (ganeshie8):

how did u get "4" ?

ganeshie8 (ganeshie8):

here, mode is "300"

OpenStudy (anonymous):

ohh I see!

ganeshie8 (ganeshie8):

cuz, the observation "300" is occurring 18 times which is the highest in the given graph !

ganeshie8 (ganeshie8):

next, count how many total observations are there and find out the median

OpenStudy (anonymous):

There is 45 Observations right?

OpenStudy (anonymous):

So Median<Mode?

OpenStudy (anonymous):

Median>Mode my bad

ganeshie8 (ganeshie8):

100 has 7 boxes 200 has 3 boxes 300 has 9 boxes 400 has 6 boxes 500 has 1 boxes 600 has 6 boxes 700 has 4 boxes ------------------- total = 36 boxes

ganeshie8 (ganeshie8):

so, median is the average of 18th and 19th observation : however 18th and 19th observations fall in "300", so, median = 300

OpenStudy (anonymous):

Im sorry I am confused. The median is the middle number in a data set. So would 150 be the median? I dont see how the median can be 300.

ganeshie8 (ganeshie8):

okay, how do u say 150 is the median ? how is it the middle of dataset ?

ganeshie8 (ganeshie8):

dataset wud look like below : 100, 100, 100, 100, 100, 100, 100, 200, 200, 200, 300, 300, 300, ...

ganeshie8 (ganeshie8):

there are 7 observations that are 100, next there are 3 observations that are 200, next there are 9 observations that are 300, and so on...

ganeshie8 (ganeshie8):

since there are in total 36 observations, wat wud be the median ?

OpenStudy (anonymous):

ohhhhh now I see. It would be 300 like you said.

OpenStudy (anonymous):

So it would be Mode=Median because it is the most frequent or highest number of observations. Or am I still wrong?

ganeshie8 (ganeshie8):

you got it !!

OpenStudy (anonymous):

okay thanks so much!!!!!

ganeshie8 (ganeshie8):

yw !

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