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A business manager wants to study a distribution of income in three different provinces of South Africa in order to plan the company new implementation

A business manager wants to study a distribution of income in three different provinces of South Africa in order to plan the company new implementation strategy. He decides to collect a sample of 15 individuals per province and obtained their monthly income. The collected information is presented in Table below:

Gauteng Western Cape North West
Individual Monthly income Individual Monthly income Individual Monthly income
1 5000 1 3000 1 2000
2 5000 2 4000 2 2500
3 1200 3 4500 3 2500
4 12000 4 12000 4 10000
5 1000 5 4500 5 1500
6 3000 6 4200 6 1650
7 4500 7 6000 7 2500
8 1500 8 4320 8 9500
9 1000 9 4500 9 9200
10 3000 10 4500 10 2500
11 5000 11 3210 11 2500
12 5670 12 2000 12 1000
13 5000 13 4500 13 1500
14 2300 14 2340 14 1750
15 5000 15 4500 15 2500

a) What is the means, median, mode, first quartile, 75th percentile for each of the three provinces? (10 marks)

b) Compare the incomes in Gauteng and North West using the Mean. Based on your comparison, where do you think the business manager should advise the company to extend it business? (10 marks)

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