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The following data representing the charges billed by an electrician for his last 10 homeservices calls:
X: 84 75 60 80 100 70 58 77 84 65
(a) Calculate the standard deviation of the above data.
(b) Compute the mean, median and mode of the above data.
(c) State the empirical relationship and comments on the shape of the distribution.
(d) If we multiply each observation of the above data by 3 and then subtract 5 from each observation, i.e. u = 3x - 5, then find the standard deviation of u. And then comments on your answer.
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