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The following data set indicates the distance in kilometres that a sample of eleven employees of Low Light Pty travel from home to the workplace

The following data set indicates the distance in kilometres that a sample of eleven employees of Low Light Pty travel from home to the workplace every day.

12 19 22 27 32 32 34 36 37 43 45

Q.5.1.1 The mean. Interpret the answer. (3)

Q.5.1.2 The median. Interpret the answer. (3)

Q.5.1.3 The first quartile. Interpret the answer. (3)

Q.5.1.4 The 55thpercentile. Interpret the answer. (4)

Q.5.1.6 The coefficient of variation. (3)

Q.5.1.7 Determine the shape of this data set using the approximation formula for (4)

skewness.

Q.5.1 Calculate the following, using the appropriate formulae and/or method: [Note:ALL calculations must be shown. Final answers should be given to two decimal places]

Q.5.1.5

The standard deviation.

[Note:The relevant formula must be used, marks will not be awarded if the answer is obtained directly from the calculator]

(5)

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