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Mathematics 11 Online
OpenStudy (anonymous):

can someone please help me???????

OpenStudy (anonymous):

in statistics..... how do I find center, shape, and spread of a stemplot?

OpenStudy (anonymous):

@AkashdeepDeb

OpenStudy (anonymous):

@DebbieG can you please help me?

OpenStudy (anonymous):

@AravindG @chmvijay

OpenStudy (anonymous):

@sirryan1 ?

OpenStudy (anonymous):

try @Hero or @Preetha

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

@bobby4234534523

OpenStudy (anonymous):

in statistics..... how do I find center, shape, and spread of a stemplot?

jimthompson5910 (jim_thompson5910):

Do you have a stem plot? If so, can you please post it? Thanks

OpenStudy (anonymous):

it doesn't show a picture but the numbers are 5, 7, 8, 9, 15, 16, 17, 19, 21, 22, 24, 33, 35, 37, 42, 46, 49, 51, and 57

jimthompson5910 (jim_thompson5910):

ok one sec

jimthompson5910 (jim_thompson5910):

given this data set, how would you write all this into a stem and leaf plot?

OpenStudy (anonymous):

idk

jimthompson5910 (jim_thompson5910):

well you'd start off by writing the tens digit of each number in a column like this 0 | 1 | 2 | 3 | 4 | 5 | then for each tens digit you record the units digit off to the right for instance, the numbers 42, 46, 49 would go in the row that starts with 4 like this 0 | 1 | 2 | 3 | 4 | 269 5 | make sense?

OpenStudy (anonymous):

yes but how would i find shape, center, and spread?

jimthompson5910 (jim_thompson5910):

well go ahead and complete the stem and leaf plot for me and that will give you an idea about its shape

OpenStudy (anonymous):

how i don't understand what they mean by shape?

jimthompson5910 (jim_thompson5910):

the shape is basically a visual look at how the data is spread out if all the data is very spread out, then the shape is more flat as compared to when the data is all clumped together also if the shape is symmetrical, then this means that roughly half of the data is below the center and the other half is above the center

jimthompson5910 (jim_thompson5910):

let me know what you get when you complete the stem and leaf plot

OpenStudy (anonymous):

i just did so im thinking it would be symmetric...am i right?

jimthompson5910 (jim_thompson5910):

can you post what you got

OpenStudy (anonymous):

0 l 5 7 8 9 1 l 5 6 7 9 2 l 1 2 4 3 l 3 5 7 4 l 2 6 9 5 l 1 7

jimthompson5910 (jim_thompson5910):

good, I'm getting the same

jimthompson5910 (jim_thompson5910):

so this means that shape is roughly flat and somewhat symmetrical although I would argue that it's slightly skewed to the right since most of the data is below the center

OpenStudy (anonymous):

so it would be mainly skewed?

jimthompson5910 (jim_thompson5910):

I would say it's slightly skewed to the right (not a significant skew really), but it's definitely not completely symmetric

OpenStudy (anonymous):

ok so now how do i find the center? is it just the middle number?

jimthompson5910 (jim_thompson5910):

there are 19 values so the median, which is the center, is in slot number 19/2 = 9.5 which rounds up to 10 so the median is in slot 10 since the number 22 is in slot 10, this means that 22 is the median or center

jimthompson5910 (jim_thompson5910):

0 | 5789 1 | 5679 2 | 124 <---- center is here 3 | 357 4 | 269 5 | 17 so you can see that the center is slightly pulled to the left (due to the skew)

OpenStudy (anonymous):

oh ok thanks ..what about the spread now?

jimthompson5910 (jim_thompson5910):

the spread is equal to the standard deviation

jimthompson5910 (jim_thompson5910):

it's best to calculate this with a calculator since doing so by hand is a pain

jimthompson5910 (jim_thompson5910):

do you know how to calculate the standard deviation with a calculator?

OpenStudy (anonymous):

no can you explain it to me?

jimthompson5910 (jim_thompson5910):

what kind of calculator do you have?

OpenStudy (anonymous):

ti-30

jimthompson5910 (jim_thompson5910):

ok I don't think that calculator can do standard deviation, I'll find an online one that can

OpenStudy (anonymous):

what is standard deviation?

jimthompson5910 (jim_thompson5910):

standard deviation basically tells you how spread out the data is in terms of a number so you can compare different data sets and see which ones are more spread out than others in general, the higher the standard deviation is, the more spread out the data is and the more the data values are further away from the center

OpenStudy (anonymous):

oh ok

jimthompson5910 (jim_thompson5910):

ok here is a standard deviation calculator http://easycalculation.com/statistics/standard-deviation.php

jimthompson5910 (jim_thompson5910):

you just type the numbers into the box and hit the "calculate" button

OpenStudy (anonymous):

so the spread is the standared deviation?

jimthompson5910 (jim_thompson5910):

correct

jimthompson5910 (jim_thompson5910):

what number did you get

OpenStudy (anonymous):

16.35373

jimthompson5910 (jim_thompson5910):

I'm getting the same

jimthompson5910 (jim_thompson5910):

so that's the spread, if that number was larger, then the values would be more spread out and further away from the center if it was smaller, then the values would be much closer to the center and the shape wouldn't be as flat

OpenStudy (anonymous):

ok thank you sooo much

jimthompson5910 (jim_thompson5910):

you're welcome

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