Instructions: All The Tasks Calculations On This Assignment

Instructionsall The Tasks Calculations On This Assignment Must Be Sho

Instructions: All the tasks' calculations on this assignment must be shown and completed by hand. Do not use a computer to generate graphic representations.

Questions:

1. Rita wants to do research on how many times people exercised during the recent Christmas holidays. She has collected data from individuals regarding the number of times they exercised. Create a frequency table from her data. Then, advise on an appropriate graph to represent her data, explaining two reasons for your choice. Prepare the chosen graph and interpret it.
2. Sam is analyzing data about seniors' contributions to their community in two different areas, West Isle and East Isle. Present the data in one graph to compare the two communities. Additionally, determine the number of activities at which 80% of seniors contributed, and interpret this data.
3. The PEI government has provided grouped data on costs (in thousands) of individuals leaving the island for complex health care over 25 years. Calculate the mean and standard deviation of the costs. Suggest the best measure of central tendency for this data and compute it. Interpret your results.
4. The Canadian Council of Social Development has poverty data for males and females in PEI. Calculate and interpret the mean and median poverty rates for both genders.
5. The women’s Canadian international world hockey team’s goals scored against them during a season are provided. Calculate the mean, median, mode, and standard deviation of the goals. Compare this year’s performance to last year based on the provided statistics. Then, analyze how removing certain data points alters the mean and standard deviation, explaining why these changes occur.
6. Seniors' exercise frequency data for fall and winter months across two years are provided. Summarize the data and determine which year’s distribution is more homogeneous, justifying your answer.

Note: All parts should be placed in logical order, with appropriate tables and graphs accompanied by written interpretations. Use complete sentences with correct grammar and spelling throughout.

Paper For Above instruction

The assignment presented encompasses several statistical analysis tasks, primarily involving the organization, visualization, and interpretation of various datasets pertaining to public health, community contribution, and sports statistics within the context of regional development programs. These analyses enable meaningful insights into behavioral patterns, regional engagement, healthcare costs, social vulnerability, and athletic performance, all essential for informed decision-making by government agencies and organizations.

Firstly, Rita’s investigation into exercise habits during the Christmas holidays involves creating a frequency table based on her collected data. This table succinctly summarizes the number of individuals engaging in varying frequencies of exercise, highlighting patterns such as the proportion of individuals who did not exercise or exercised infrequently. To visually represent this data, a bar graph is most appropriate because it clearly displays categorical data, making it easy to compare the frequencies across different exercise categories. This choice is justified by the discrete nature of the data and the need for simplicity in illustrating the distribution. The bar graph will be prepared by plotting the number of exercise days (categories) along the x-axis and the number of people in each category along the y-axis. The interpretation of this graph will focus on identifying the overall exercise trends, such as the mode (most common exercise frequency) and any notable patterns, such as a majority of individuals not exercising or doing so only a few times.

Secondly, Sam’s evaluation of senior community engagement involves consolidating the data of seniors’ contributions into a single comparative graph, such as a grouped bar chart. This visualization allows for straightforward comparison of activity levels between West Isle and East Isle, highlighting disparities or similarities in senior participation rates. Additionally, for each community, determining the number of activities at which 80% of seniors contributed involves analyzing the cumulative contribution data to find the threshold activity count. This metric offers insight into the extent of engagement and helps policymakers understand the levels of participation required to reach broad involvement. The interpretation will discuss how the two communities compare in terms of overall engagement, and what the 80% contribution thresholds reveal about each community’s mobilization effectiveness.

Thirdly, regarding the data on health care costs, calculate the mean and standard deviation to understand the central tendency and variability. The mean provides an average cost, while the standard deviation indicates the spread or dispersion of costs around that average. The best measure of central tendency for this distribution might be the median if the data are skewed, as it is less affected by outliers. The calculation of these measures involves applying formulas for mean and standard deviation based on the grouped data, considering midpoints of cost intervals. The interpretation will address what these statistics imply about the typical cost and variability, informing government budgeting and resource allocation.

Further, the poverty data for males and females in PEI involves calculating the mean and median poverty rates. The mean shows the average poverty rate across genders, whereas the median identifies the middle point when rates are ordered, giving insights into the typical experience of poverty among the population. This comparison can reveal gender disparities or similarities in poverty levels, essential for targeted social programs and resource distribution.

Finally, an analysis of the hockey team’s goals scored against them involves calculating average goals (mean), the central value (median), the most common goals (mode), and the variability (standard deviation). Comparing this year’s data to last year’s performance involves assessing whether the team’s defensive record has improved or worsened. Removing outliers like 8 and 10 goals tests the robustness of the measures and illustrates their sensitivity to extreme values. These analyses together offer a comprehensive assessment of the team’s defensive consistency and improvement over time.

Lastly, analyzing seniors’ exercise data across two years involves summarizing the distribution, calculating measures of variability, and assessing homogeneity. The year with less variability is deemed more homogeneous, indicating consistent participation levels. Quantifying these aspects helps evaluate the effectiveness of programs aimed at increasing senior activity, informing future initiatives.

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