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Mathematics 12 Online
OpenStudy (nali):

the question is attached i know the answer but i do not get it plz help

OpenStudy (nali):

i just need question 5

OpenStudy (nali):

here is the answer that i don't get

OpenStudy (phi):

there are 70 students (add all the categories) the median value is the middle value, or in this case, with an even number, the average of the two middle values. So entries (35+36)/2 if we add up the students, we see the 35 and 36 fall into the category 81-90 lbs so the median value is 81 to 90. the heaviest students are 121 to 130 the smallest difference would be 121-90= 31

OpenStudy (nali):

yeah that is the answer but what i do not get is why subtract 121-90 instead of subtracting 121-81 since the question asked for the SMALLEST possible difference?

OpenStudy (phi):

because 121-81= 40 which is bigger than 131 so we have these choices: 130-81 130-90 121-81 121-90 the last gives the smallest number

OpenStudy (phi):

*because 121-81= 40 which is bigger than 31

OpenStudy (phi):

or, more logically, to find the smallest difference between the two categories you want the weight in the medan class closest to the heavy category 90 and you want the weight in the heaviest class closest to the median class that is the smallest weight in that class, 121

OpenStudy (nali):

i get u so it would be the smallest difference thanks :)

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