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Calculator: statistics


remy

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Hi

They ask me to calculate the mean and standard deviation using the gdc of t:

Time | nr of people

0 <(equal) t < 15 | 21

15 <(equal) t < 30 | 32

...

and so on

<(equal) just means greater or equal to

I tried to calculate the mean by taking the midpoint, but the result is incorrect. So I guess it is maybe because it is "greater or equal to" and not just simple "0-15"...

Can anyone help me out please? Thanks.

(Edit: coz I misunderstood the question)

Edited by remy
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Of course, its from the November 07 paper 2:

Time spent per day (t minutes); number of people

0 ≤ t < 15; 21

15 ≤ t < 30; 32

30 ≤ t < 45; 35

45 ≤ t < 60; 41

60 ≤ t < 75; 27

75 ≤ t < 90; 11

Question: Use your graphic calculator to calculate approximate values of the mean and standard deviation of the time spent per day one these mobile phones.

The answer: mean = 42.4, standard dev. = 21.6

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Of course, its from the November 07 paper 2:

Time spent per day (t minutes); number of people

0 ≤ t < 15; 21

15 ≤ t < 30; 32

30 ≤ t < 45; 35

45 ≤ t < 60; 41

60 ≤ t < 75; 27

75 ≤ t < 90; 11

Question: Use your graphic calculator to calculate approximate values of the mean and standard deviation of the time spent per day one these mobile phones.

The answer: mean = 42.4, standard dev. = 21.6

This shows a continuous random variable. Rather than a probability distribution, continuous random variables have probability density functions. Since a function is not given, we have to convert this distribution into a discrete random variable distribution. This is done by choosing the midpoint of each range of "time spent per day", as X.

The formula for mean and SD for a discrete random variable distribution are img3.gif.

For mean, plug the midpoints (7.5, 22.5, 37.5...) as x, and the # of people as p(x). The sum of each is about 42.35.

For SD, plug the same values as x and p(x), and use the sum to subtract mean squared, and square root the answer. It should be 21.6.

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  • 10 months later...

[quote name='remy' date='Apr 23, 2009 - 08:19' timestamp='1240474770' post='44068']
Thanks, :) I also figured out how to make the calculator consider both columns in the statistics program.
[/quote]
[font="Book Antiqua"]how did you do that???
thanks :P [/font][color="#483D8B"][/color]

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  • 3 weeks later...

[quote name='lois lee' date='Feb 28, 2010 - 09:37' timestamp='1267349848' post='63942']
[quote name='remy' date='Apr 23, 2009 - 08:19' timestamp='1240474770' post='44068']
Thanks, :) I also figured out how to make the calculator consider both columns in the statistics program.
[/quote]
[font="Book Antiqua"]how did you do that???
thanks :P [/font][color="#483D8B"][/color]
[/quote]

Plug in the midpoints for L1. Plug in the frequencies for L2. Then go to STAT -> CALC -> 1-Var Stats then type L1,L2 -> ENTER

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