Objective

In this assignment, you will investigate into the fundamental concepts of statistics by examining measures of central tendency and measures of dispersion for both discrete and continuous data. You will use real-world datasets to perform statistical analysis, gaining practical experience in data interpretation.

REQUIREMENT

Part A: Measures of Central Tendency

1. Select two datasets: one containing discrete data and the other containing continuous data. You may obtain datasets from reputable sources, such as government statistics websites, academic databases, or create your own if applicable. Ensure that each dataset has at least 30 data points.

2. Provide a brief introduction to each dataset, including its source and context. Calculate and present the following measures of central tendency for each dataset:

   1. Mean
   2. Median
   3. Mode

3. Interpret the results by discussing what each measure of central tendency signifies in the context of the data. Compare and contrast the central tendencies of the two datasets. Explain any notable differences.

Part B: Measures of Dispersion

1. Calculate and present the following measures of dispersion for each dataset:

• Range
• Variance
• Standard Deviation
• Interquartile Range (IQR)

2. Create appropriate visualizations to represent the dispersion in each dataset. You can use histograms or frequency polygon to visualize the spread of data.

3. Interpret the results by discussing what each measure of dispersion reveals about the data’s variability. Compare and contrast the dispersions of the two datasets. Identify any significant distinctions.

QUESTION 2

You are conducting a study on the choice of healthcare services among individuals in a specific region. Your data includes a sample of 600 individuals who have recently required healthcare services. Specifically, you are interested in whether these individuals chose to receive healthcare from private hospitals or government hospitals. The data you collected is as follows:

• 250 individuals chose private hospitals.
• 350 individuals chose government hospitals.

a. Calculate the probability that a randomly selected individual from your sample chose to receive healthcare from a private hospital.

b.Determine the probability that a randomly selected individual from your sample chose to receive healthcare from a government hospital.

c.Are these two events mutually exclusive? Explain your reasoning.

d.Now, let’s consider additional factors that may influence the choice of healthcare services.

You have gathered the following information:

• Among the individuals who chose private hospitals, 70% had elective procedures, while the rest had emergency treatments.
• Among the individuals who chose government hospitals, 50% had elective procedures, while the rest had emergency treatments.
• 80% of individuals who had elective procedures chose private hospitals.

Calculate the probability that a randomly selected individual  had an elective procedure but chose a government hospital.

e.Are having an elective procedure and choosing a private hospital independent events? Explain your reasoning.

Online Class Participation

Discuss the following topic(s) in the forum and submit proof of your participation in the online discussions:

In the OCP forum on myINSPIRE, please discuss the practical applications of probability in real-life situations by creating five postings, each explaining a different real-life application.

Instructions:

1. You have to join a discussion group in the OCP forum and discuss the given topic.

1. You may select any group to work with.  
2. Select the best FIVE (5) of your postings from the OCP forum.
3. Do screenshots of your postings and include them as images in your assignment.
4. The screenshots should be in image file (either in JPG or PNG format) and contain: Name, Title of the discussion, Day, Date and Time.