Question
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)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started