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C and d 180, 156, 148, 151, 168, 172, 190, 167 a) Calculate the mean of the sample [1] Round to 2 decimal places if

C and d

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180, 156, 148, 151, 168, 172, 190, 167 a) Calculate the mean of the sample [1] Round to 2 decimal places if necessary b) Calculate the standard deviation of the sample [2] Round to 2 decimal places if necessary Please complete the chart with the squared deviations for full marks 156 148 151 168 172 190 167 c) Assuming the data is normally distributed and that the sample mean and sample standard deviation are equal to the population mean and population standard deviation, determine I) Between which heights will 95%% of the data will fall within [1] Round to 2 decimal places if necessary Between which heights will 68% of the data will fall within [1] Round to 2 decimal places if necessary d) Determine the probability that a student will be less than 160 or greater than iss (3] Round to & decimal places if necessary

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