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45.93 48.18 y 49.32 53.13 55.29 55.75 56.56 58.59 60.02 62.95 64.24 64.64 66.36 66.78 69.55 69.72 71.64 72.61 72.76 74.42 76.63 77.21 77.31 78.37

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45.93 48.18 y 49.32 53.13 55.29 55.75 56.56 58.59 60.02 62.95 64.24 64.64 66.36 66.78 69.55 69.72 71.64 72.61 72.76 74.42 76.63 77.21 77.31 78.37 78.53 78.59 85.89 88.09 88.25 89.76 91.91 94.89 105.83 118.38 The mean of these data is 71.89 and the standard deviation is 16.73 (a) Find the value of y. (b) Make a histogram for this data. You will need to submit this figure, so make sure you save your plot on a file and that this file can be easily accessed and uploaded during the Quiz. (c) Calculate the median and the third quartile. (d) What proportion of data lies within one standard deviation of the mean? What proportion lies within two standard deviations of the mean? How this compare with the empirical rule

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