Continuous Review - MDM 4UI Continuous Distributions Review...

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MDM 4UI – Continuous Distributions Review 1. A student meticulously measured the mass of 100 nickels. Her data is found below. 4.87 4.92 4.95 4.97 4.98 5.00 5.01 5.03 5.04 5.07 4.87 4.92 4.95 4.97 4.98 4.89 4.93 4.95 4.97 4.99 5.00 5.02 5.03 5.05 5.08 4.90 4.93 4.95 4.97 4.99 5.00 5.01 5.03 5.04 5.07 4.88 4.93 4.95 4.97 4.99 5.00 5.01 5.03 5.04 5.07 4.98 4.99 5.01 5.02 5.03 5.06 5.09 4.91 4.94 4.96 4.98 4.99 5.01 5.02 5.04 5.06 5.11 4.92 4.94 4.96 4.98 5.00 5.01 5.02 5.04 5.06 5.11 4.91 4.94 4.96 5.00 5.02 5.03 5.05 5.08 4.90 4.93 4.96 4.97 4.99 5.01 5.02 5.03 5.05 5.09 5.06 5.10 4.92 4.94 4.96 4.98 5.00 5.01 5.02 5.04 a) Make a histogram of this data and use it to draw a curve representing the shape of the distribution. Does the data appear to be normally distributed? b) Calculate the mean and standard deviation of the data. c) Print out your histogram. Draw vertical lines at points along the x-axis that correspond to the mean, one standard deviation, two standard deviations, and three standard deviations above and below the mean. d) Use the EXPERIMENTAL DATA for this question. If you were to randomly take a nickel from your pocket, what is the probability that it has a mass: a. within one standard deviation of the mean b. within two standard deviations of the mean c.
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