Name:_________________________ Analyzing Data & Comparing Populations Project Create a usable survey question that yields numerical data. For example, shoe size or height in inches. Get your survey question approved by Mrs. Holliday. Decide who is in your population (who do you want to collect data from?) What type of sampling method you will use to collect your data? Will this type of sample yield valid or biased data? (It’s okay if your data is not valid) Ask your question to a minimum of 10 girls and 10 boys. Record your data below and follow the steps to analyze the data, compare the populations (boys vs. girls) and make inferences. Survey Question:_______________________________________________________ Population:____________________________________________________________ What type of sampling method did you use to collect the data? Will this survey yield valid data why or why not? _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Data Collection: Use the table below to collect your data. Girls Boys On poster make a double dot plot to show the frequency. Make sure to label the graph. Find the mode and the range for each data set: Find the 5 number summary for each data set. Mode Range Girls Boys Girls Boys Minimum Minimum 1st Quartile 1st Quartile Median Median 3rd Quartile 3rd Quartile Maximum Maximum Interquartile Range Interquartile Range On a poster make a double box plot. Make sure to label and title your data display. Find the mean for each data set: (round to the tenths place) Girls:_________ Boys:_________ Find the mean absolute deviation for each data set. Girls: Boys: Data Deviation from the Absolute Data Set Mean Value Set Total MAD Deviation from the Mean Absolute Value Total MAD Make a poster to display your work. Make sure to include the question, the data collection tables, the dot plot, the box and whisker graph. Write a paragraph comparing the two data sets. Make sure to use data from at least 2 measures of center (mean, median, mode) and 2 measures of variation (range, interquartile range, MAD) in your comparison. Make at least one inference or prediction about your data. Make sure the poster is neat and easy to read. You may include a picture or illustration that goes along with the data. Your project is worth 100 points and will be graded based on the rubric. You may use a calculator make sure to double check your calculations. Name:__________________________________________ Class Period:_________________ Requirements Data Collection-10 girls/10 boys Population/Sample 10 9 8 Sample includes 20 people, data is measureable & numerical Population and sample are clearly defined and labeled as bias or valid with accuracy 7 6 5 4 Sample includes less than 20 people, data is measureable & numerical Population and sample are defined and labeled as bias or valid with accuracy Measures of center Mean, median, mode are calculated with 100% accuracy Mean, median, mode are calculated with 80% accuracy 5 Number Summary 5 number summaries are calculated with 100% accuracy 5 number summaries are calculated with 80% accuracy Double Box-and-Whisker Plots Box-and-whisker plots are accurately constructed. Graph includes labels, titles and is neatly constructed. Box-and-whisker graphs are accurate. Graph may be missing a label or title. Double Dot Plots Dot plots are accurately constructed. Graph includes labels, titles and is neatly constructed Dot plots graphs are accurate. Graph may be missing a label or title. MAD/Measures of variation All calculations: MAD, measures of variation are 100% accurate All calculations: MAD, measures of variation are 85% accurate Inferences/Comparisons Comparisons are made with accuracy, include 4 pieces of data. Inferences are reasonable Comparisons are made with accuracy, include 3 pieces of data. Inferences are reasonable Poster Poster includes all requirements and is neat and easy to understand. Neatness/Effort Final product is neat, and clearly took a considerable amount of time and effort Poster includes all most all requirements and is neat and easy to understand. Final product is fairly neat, and took a considerable amount of time and effort Name:__________________________________________ 3 2 1 0 Sample includes less than 10 people, data is not measureable Population and sample are not defined and labeled as bias or valid with is inaccurate Mean, median, mode are calculated with less than 80% accuracy 5 number summaries are calculated with less than 80% accuracy Box-and-whiskers are inaccurate. Graph is missing labels, or is not neatly constructed. Dot plots whiskers are inaccurate. Graph is missing labels, or is not neatly constructed. All calculations: MAD, measures of variation are less than 85% accurate Comparisons are inaccurate; include less than 2 pieces of data. Inferences are not reasonable Poster is missing requirements and is neat and easy to understand. Final product is sloppily, and took little time and effort or is incomplete Total points Earned Points 3 2 1 0 Sample includes less than 10 people, data is not measureable Population and sample are not defined and labeled as bias or valid with is inaccurate Mean, median, mode are calculated with less than 80% accuracy 5 number summaries are calculated with less than 80% accuracy Box-and-whiskers are inaccurate. Graph is missing labels, or is not neatly constructed. Dot plots whiskers are inaccurate. Graph is missing labels, or is not neatly constructed. All calculations: MAD, measures of variation are less than 85% accurate Comparisons are inaccurate; include less than 2 pieces of data. Inferences are not reasonable Poster is missing requirements and is neat and easy to understand. Final product is sloppily, and took little time and effort or is incomplete Total points Earned Points /100 Class Period:_________________ Requirements Data Collection-10 girls/10 boys Population/Sample 10 9 8 Sample includes 20 people, data is measureable & numerical Population and sample are clearly defined and labeled as bias or valid with accuracy 7 6 5 4 Sample includes less than 20 people, data is measureable & numerical Population and sample are defined and labeled as bias or valid with accuracy Measures of center Mean, median, mode are calculated with 100% accuracy Mean, median, mode are calculated with 80% accuracy 5 Number Summary 5 number summaries are calculated with 100% accuracy 5 number summaries are calculated with 80% accuracy Double Box-and-Whisker Plots Box-and-whisker plots are accurately constructed. Graph includes labels, titles and is neatly constructed. Box-and-whisker graphs are accurate. Graph may be missing a label or title. Double Dot Plots Dot plots are accurately constructed. Graph includes labels, titles and is neatly constructed Dot plots graphs are accurate. Graph may be missing a label or title. MAD/Measures of variation All calculations: MAD, measures of variation are 100% accurate All calculations: MAD, measures of variation are 85% accurate Inferences/Comparisons Comparisons are made with accuracy, include 4 pieces of data. Inferences are reasonable Comparisons are made with accuracy, include 3 pieces of data. Inferences are reasonable Poster Poster includes all requirements and is neat and easy to understand. Neatness/Effort Final product is neat, and clearly took a considerable amount of time and effort Poster includes all most all requirements and is neat and easy to understand. Final product is fairly neat, and took a considerable amount of time and effort /100