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natural philosophy

Sampling Distribution The first diagram is about parent population. At the normal type of distribution the mean is 16.00 and the standard deviation is 5.00. The graph seems to reach its peak at the center of the diagram. The skewed type of distribution moves the results of the graph to the left side of the diagram. The mean is 8.08 and the standard deviation is 6.22. The uniform type of distribution is a straight bar all the way across the diagram. The mean is 16.00, which is the same as the normal type of distribution. The standard deviation is 9.52. The uniform type of distribution has the highest standard deviation. Within each type of distribution the standard deviation tends to get larger. When the sample size of 5 is selected from the second diagram, the third diagram shows a mean of 13.74. For 1,000 as the sample size the mean is 15.98. 10,000 samples show a mean of 16.02. The higher the sample size the larger the mean. The graph grows larger as well. In comparison to the parent population, the mean of the sample is lower than the mean of the parent population at the normal and uniform types of distribution, but at 10,000 samples the mean is higher. The skewed type of distribution’s mean is smaller than the mean of the different sample sizes. In clicking on the different sample sizes at numerous amounts of times the mean varies. Random Variables This link uses dice as the random experiment. Each time the dice gets rolled gets rolled the outcome is different, but it can land on the same number over again many times. For one roll of one dice the outcome was 4. The result of rolling one dice six times was 1,5,1,6,3, and 4. For ten rolls of two dice, the outcomes were 2,6,10,4,7,9,7,5,10, and 4. In which three numbers were repeated. The more dice rolled at one time the higher the outcome. From rolling one dice the result was 3. In rolling two dice the result was 6 to rolling six dice the result was 14. From rolling nine dice the result was 32. Z score (-2 and +2 are ordinary; 2

Approximate Word count = 1772
Approximate Pages = 7.1
(250 words per page double spaced)
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