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Mathematics 10 Online
OpenStudy (anonymous):

please help with statistics question! http://prntscr.com/alcegq

jimthompson5910 (jim_thompson5910):

do the formulas given in the hints look familiar and make sense?

OpenStudy (anonymous):

not to me they don't, i have been trying it out but get nowhere

jimthompson5910 (jim_thompson5910):

do you agree that the highest score is 25? I'm referring to the dot plot

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

what is the lowest value on that same dotplot?

OpenStudy (anonymous):

-18 ?

jimthompson5910 (jim_thompson5910):

yes So XH = 25 and XL = -18 subtracting the two values XH - XL = ???

OpenStudy (anonymous):

43

OpenStudy (anonymous):

divided by 6 = 1.16

jimthompson5910 (jim_thompson5910):

now divide that by 6 to compute the SD

OpenStudy (anonymous):

ooops 7.16

jimthompson5910 (jim_thompson5910):

7.16666666666667 roughly

jimthompson5910 (jim_thompson5910):

now you'll use this SD value to plug into the ME formula ME = margin of error

jimthompson5910 (jim_thompson5910):

\[\Large ME = \pm 2 \times \frac{SD}{\sqrt{N}}\] \[\Large ME \approx \pm 2 \times \frac{7.16666666666667}{\sqrt{50}}\] \[\Large ME \approx ??\]

OpenStudy (anonymous):

okay I got 2.02704

jimthompson5910 (jim_thompson5910):

which rounds to 2.03

OpenStudy (anonymous):

great! thank you!

jimthompson5910 (jim_thompson5910):

so the margin of error (ME) is roughly +-2.03

OpenStudy (anonymous):

perfect

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