M102_M3_Milestone1

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Mathematics

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Feb 20, 2024

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::Math 102 ~ Milestone 1:: Population and Exploratory Data Analysis 1. Determine a career that interests you. a. Identify the population you want to study (Chicago Police Officers, for example) i. Career Choice: Database Administrator b. Answer the following questions, making predictions for each of your answers : i. What are the Minimum and Maximum salaries for your chosen career? $20,000 and $180,000 ii. What is the Mean salary for your chosen career? $85,000 iii. What is the Median salary for your chosen career in the USA? in Illinois? In the USA my prediction is $75,000 and in Illinois my prediction is $80,000 iv. What is the Median salary for all careers in the USA? in Illinois? $55,000 in the USA. $65,000 in Illinois. ***Using the Data Directions Word Doc, go to the Bureau of Labor Statistics and pull the appropriate salary data for the career you chose in Part a. The data will be downloaded as an Excel workbook. DO NOT CONTINUE until you have pulled the data and reformatted it according to the directions.*** 2. From your salary data in Excel, use Pivot Tables to create a Frequency Chart, use Grouping by 10,000 (you should get around 20 Bins), and create a Histogram for your salary data. Make sure to give your Histogram an appropriate title. 3. Use Excel to Calculate the 5 Number Summary and create a Box Plot to represent this data . Minimum = $17,230 1 st Quartile = $61,457.5 Median = $80,660 3 rd Quartile = $120,067.5 Maximum = $166,450 Box Plot Generator: http://www.imathas.com/stattools/boxplot.html *Copy/Paste Box Plot from generator to your Excel sheet somewhere near your calculations.
4. From your Frequency Chart, create a Pie Chart for your salary data . Make sure to give your Pie Chart an appropriate title. 5. Use Excel to Calculate the Measures of Central Tendency and for each one, write a short explanation of what each one measures and what that means for your data specifically . Mean: The mean is also be known as the average and in my data specifically the mean is $88,910.42308 which is the average salary of a database administrator. Median: Is the value separating the higher half and lower half. In my data the median is $80,660 so that is the value that separates the higher half and the lower half of data. Mode: Is the most frequent number. In my data the mode is $100,690 and $126,780 which means these are the two most frequent numbers. 6. Use Excel to Calculate the Measures of Spread and for each one, write a short explanation of what each one measures and what that means for your data specifically . Standard Deviation: Is a measure of how dispersed data is compared to the mean. In my data the STD Deviation is $32,880.77704 which means its lower than the mean. Range: Is the difference between highest and lowest value. For my data the range is $149,220 which is my highest value (166,450) subtracted by my lowest value (17,230). IQR (Inner-Quartile Range): Is the difference between Q3 and Q1. In my data my IQR is $58,610 which is the range that isn’t affected by outliers. 7. Submit both parts of Milestone 1 (Word and Excel) to the Milestone 1 DropBox on D2L before the due date. 8. For Extra Credit: (+1 Incentive Point if all 5 z-scores are correct) Look back at your original data source sheet (OES Report): List the salary values for Illinois only: For each of the Illinois salary values , calculate the Z-score: Annual 10% =$48,370 10% =$ 48,367.29598 Annual 25% =$62,020 25% =$ 62,017.29598
Annual 50% =$83,480 50% =$ 83,477.29598 Annual 75% =$125,550 75% =$ 125,547.296 Annual 90% =$162,770 90% = $ 162,767.296
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