The labelling on bags of garden compost indicates that the bags weigh 20 kg. The weights of a random sample of 50 bags are summarised in the table opposite. a On graph paper, draw a histogram of these data. b Estimate the mean and standard deviation of the weight of a bag of compost. [You may use fy 988.85, fy 19 602.84] c Using linear interpolation, estimate the median. One coefficient of skewness is given by 3(mean median) standard deviation

d Evaluate this coefficient for the above data. e Comment on the skewness of the distribution of the weights of bags of compost.AppendixLO1

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Weight in kg Frequency 14.6-14.8 1 14.8-18.01 0 18.0-18.5 5 18.5-20.0 6 20.0-20.2 22 22 20.2-20.4 15 20.4-21.0 1