**Questions**

Refer to Data Assignment 1, and select a proportionate stratified probability sample of 40 cities according to the region. Briefly explain how this could be done. Put up your sample.

Identify the type of variable and level of measurement for each of the following variables.

**(i)** Region

**(ii)** Rent Index

**(iii)** Restaurant Price Index Group

For Region and Restaurant Price Index Group,

**(i)** construct a joint frequency distribution for the selected variables.

**(ii)** use a suitable graph to represent the joint frequency distribution in part (i).

Interpret the graph.

Refer to the variable Local Purchasing Power Index.

**(i)** Construct a suitable stem-and-leaf display. Comment on the display.

**(ii)** Determine the relevant measures of central tendency and measures of

dispersion for the distribution of the Local Purchasing Power Index in part.

Refer to the variable Cost of Living Index.

**(i)** Construct a suitable frequency distribution for the data and use a suitable

graph to present the frequency distribution. Hence, comment on the graph.

**(ii)** Convert the frequency distribution in part (i) into a more than cumulative

frequency distribution. Draw a relevant graph to present the cumulative

frequency distribution obtained.

**(iii)** Find all the relevant measures of central tendency and measures of

dispersion from the graphs obtained in parts (i) and (ii).

**(iv)** Based on the frequency distribution in part (i), calculate the relevant

the measure of central tendency and measures of dispersion for the data.

**(v)** Interpret the values of the measure of central tendency obtained.

**(vi)** Suggest a measure of central tendency and a measure of variability that is

suitable to represent the set of data. Justify your answers.

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