Telepathy Maths Investigation
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Telepathy Maths Investigation Introduction I will take a card from a set of specifically designed cards and will look at it, not letting anyone else see the image on the card. Another person will then state what card they think it is, and I will record whether they are correct or not in their guess. Each person will try to receive the images of 10 randomly chosen cards, hopefully, a large enough number of tests to determine whether the subject has any telepathic abilities. I have assigned each card with a set of numbers. Random numbers will then be generated on a calculator for each test, to ensure that every card is picked at random, making sure that each event is independent, as the distribution model requires. The aim of this investigation is to analyse the results of telepathy tests run on a selection of people to determine whether I, as the sender, possess any telepathic powers. These results could be used as a representative sample of other similar people. The people I am targeting to run these telepathy tests on are young adults aged 16-19, from New College.
The mean and standard deviation will be calculated from the real data, and from the binomial model, so they can be compared, to see if there are any significant differences that could suggest the presence of telepathic powers. Page 1 Results Person # of correct answers x f 1 3 0 2 2 2 1 6 3 6 2 3 4 0 3 4 5 1 4 1 6 2 5 2 7 0 6 1 8 1 7 0 9 3 8 1 10 5 11 8 12 2 13 1 14 4 15 1 16 3 17 5 18 1 19 3 20 1 Mean Standard Deviation Page 2 Binomial Model Using the following formula, the binomial probability model can be calculated. There are five cards, and each subject is tested 10 times, so the formula is now: Using this formula, the probability distribution for choosing the card correctly is as follows: x p(x) Cumulative (4 d.p.) 0 0.1073741824 0.1074 1 0.268435456 0.3758 2 0.301989888 0.6778 3 0.201326592 0.8791 4 0.088080384 0.9672 5 0.0264241152 0.9936 6 0.005505024 0.9991 7 0.000786432 0.9999 8 0.000073728 1.0000 9 0.000004096 10 0.0000001024 Mean Standard Deviation Page 3 Analysis Compared to the mean of the probability distribution, the mean of the real data is 30% higher.
They are all unlikely, but some of them are more likely than others. Here I have found that I have contradicted myself. The mean and standard deviation suggest that some of the subjects may have telepathic powers, but looking at the data this is not entirely obvious. I think this was because the test was severely limited. Now that I have run the test, I have found that the test group was too small, and the test was too short for any of the results to be clear, as probability settles over a longer period of time. A future test should test each person more and ask him or her to identify more images. I would have to be tested more also, and try to send more images to more people. The confusing element of this investigation is whether the suggestion of telepathic powers I've discovered were down to my subjects, or I. As I was looking for some telepathic ability within myself, I could try to eliminate subject number 11 by getting him to receive images from cards through different people. If the results are consistent, reinforcing the point that he seems to be telepathic. The results being lower, reinforcing the point that it is I that may behold these powers. Page 7
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