The values of x shown in the following table are to be represented in a bar chart.

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The values of x shown in the following table are to be represented in a bar chart.


a. i. Sketch a curve that shows the shape of the data.

ii. Find the mode, mean and the median of x.

b. The two smallest values of x (i.e. 5 and 5) are changed to 21 and 31. Investigate the effect that this has on the mode, the mean, the median and on the shape of the curve.

c. If, instead, the two largest values of x (i.e. 11 and 11) are changed to –9 and b, so that the mean of x decreases by 1, find the value of b and investigate the effect that this has on the mode, the median and the shape of the curve.

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