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Maths & statistic

1. Three young boys have total age of 24. Answer the following questions with proper calculation steps and explanation.
If standard deviation of these boys’ ages is 0, what is the age of the oldest boy of the three?

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  • R mwila Dec 13, 2008

    compute the quatile deviation

    compute the standard deviation

    compute the co-efficient of variation

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Standard deviation is the average root mean squared deviation from the average of the numbers.

Familiarize yourself with the wikipedia page on standard deviation: http://en.wikipedia.org/wiki/Standard_deviation

In this case, your question is easy. The standard deviation is 0, so this means the boys ages are all the same.

So they're all 24/3 = 8 years old.

Proof:
8 + 8 + 8 = 24 <-- satisfies the constraint that the boys ages must total to 24.

Get the standard deviation of these numbers;

8+8+8 / 3 = 8 <-- the average value is 8

The deviation of each boy's age from the average is:
boy 1
--------
8 years old, which deviates from 8 by 0
boy 2
--------
8 years old, which deviates from 8 by 0
boy 3
--------
8 years old, which deviates from 8 by 0

So the deviations are 0, 0 and 0.

To get the standard deviation, you sum the squares of the deviations of each boy, get the average, and square root. So:

0² + 0² + 0² = 0
Average is 0 / 3 = 0
Square root of 0 = 0

So the standard deviation is 0. Which shouldn't be much of a surprise to you. We just had to actually DO the work to show that it was in fact 0.

Posted on Feb 08, 2008

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The standard deviation is a measure of how "tight" the samples are distributed around your mean.
In layman's terms, a small standard deviation indicates that most of your measurements are in the vicinity of the means; a large standard deviation corresponds to readings that are all over the place.
You could also say that the smaller the SD, the more your mean is representative of the data set.
For a better explanation, just look up Standard deviation on Wikipedia!

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These are "decent" quality 5.1 speakers, usually without any trouble.

Now, to your question, you will not have 5.1 "surround sound" effect with standard sound card, standard sound card will provide only three speakers sound, rear speakers will not connect but bass should be hear. Please switvh power off to the speakers and disconnect all cables from spaekers and connect them for best quality as follows:

1. Audio from PC, orange, green and black connecting to front right speaker.
2. DB15 (D-SUB) connecting to subwoofer, subwoofer is serving as mixer, power board, amplifier and connection box, control pod is just cable connection to it
3. Connect all cables to they respective speakers

Establish location of the speakers, from experience, in ideal world:

1. Sub should be on about your knee level or below, about twice your hight from you.
2. Front centre speaker should be about some distance as sub or bit closer on front and slightly above your head.
3. Front left and right speakers should be at about 45degree from your axis, at distance of about 1.5 your hight and on the level of your head or slightly below.
4. Rear left and right speakers should be located similiary to front speakers, on they level or slightly above them, again, about 45degree from your axis.

Location of the speakers is more actually important than it is assumed, total sound immersion is not possible without proper speakers installation. Head in these instruction meant a location of your head while you are listening to your music or recording not while you are standing.

In reality... hang them higher than your head in four corners of your room, front centre higher than sides, woofer lower than sides and below front centre, if they interfere with each other - increase the distance. I hate reality...

After speakers are connected:
1. Plug power cord in,
2. Turn all sounds totally down, including subwoofer
3. Increase sound on PC to maximum, let play any known to you music, tufftuff or bach, whatever, do not bother with metallica as you cannot discredit on it correct levels.
4. Increase subwoofer volume, holding one hand on the front of the grill till you get some vibration from it
5. Increase sound on centre speaker, then on sides front speakers till you achieve equality of the sound
6. Decrease sound volume on your PC to about 60% - 70%
7. Increse subwoofer volume till you feel sound on your hand in front of the speaker.
8. Increase sound volume on front/rear speakers as required.

Hope that short intro solved all your speaker problems, enjoy! if you require any additional help, do not hesitate to answer to this post with request.

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1 Answer

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These are "decent" quality 5.1 speakers, new were on about $100.00 to $150.00, have two years warranty from time of purchase.

Now, to your question, you will not have 5.1 "surround sound" effect with standard sound card, standard sound card will provide only three speakers sound, rear speakers will not connect.

Connect speakers as follows:
1. Audio from PC, orange, green and black connecting to front right speaker.
2. DB15 (D-SUB) connecting to subwoofer, subwoofer is serving as mixer, power board, amplifier and connection box
3. White plug is connecting to front left speaker
4. Red is connecting to front centre speaker
5. Black is connecting right rear speaker
6. Yellow is connecting left rar speaker.

Establish location of the speakers, from experience in ideal world:

1. Sub should be on about your knee level or below,
2. Front centre speaker should be about twice your hight distance from you, on front and slightly above your head.
3. Front left and right speakers should be at about 45degree from your axis, at distance of about 1.5 your hight and on the level of your head or slightly below.
4. Rear left and right speakers should be located similiary to front speakers, on they level or slightly above them, again, about 45degree from your axis.

Location of the speakers is more actually important than it is assumed, total sound immersion is not possible without proper speakers installation. Head in these instruction meant a location of your head while you are listening to your music or recording not whil eyou are standing.

In reality... hang them higher than your head in four corners of your room, front centre higher than sides, woofer lower than sides and below front centre, if they interfere with each other - increase the distance. I hate reality...

After speakers are connected:
1. Plug power cord in,
2. Turn all sounds totally down, including subwoofer
3. Increase sound on PC to maximum, let play any known to you music, tufftuff or bach, whatever, do not bother with metallica as you cannot discredit on it correct levels.
4. Increase subwoofer volume, holding one hand on the front of the grill till you get some vibration from it
5. Increase sound on centre button of the right fron speaker till you achieve equality of the sound
6. Decrease sound volume on your PC to about 60% - 70%
7. Increse subwoofer volume till you feel sound on your hand in front of the speaker.
8. Increase sound volume on front/rear speakers as required.

Hope that short intro solved all your speaker problems, enjoy! if you require any additional help, do not hesitate to answer to this post with request.

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2 Answers

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