Math 118 Final Project: Statistics Name 1. Create a survey question for data that is normally distributed. 2. Collect data from 30 random people. Record your results in the table below. 3. Make a frequency distribution table with your results. Make sure your columns are labeled. 4. Make a frequency histogram. Include word labels for the horizontal and vertical axes. 5. Compute the four measures of central tendency. Show your work for all. Round all to the nearest integer, unless it doesn't make sense to (like half-sizes for shoe size). 6. Compute the standard deviation of your data. Show your work. Round to the nearest integer, unless it doesn't make sense to (like for shoe sizes or a small range of data values). If we took larger and larger samples, your frequency histogram would approach a normal distribution. 7. Graph the normal distribution. Use your mean and standard deviation. Your graph should include the following: A word label for the horizontal axis. Seven horizontal axis tick marks corresponding to the mean and one, two, and three standard deviations above and below the mean. Each tick mark should have a data value. 8. Answer the following questions given your normal distribution. a) What is the range of data values so that 68% of data would be within the mean? b) What is the range of data values so that 95% of data would be within the mean? c) What is the range of data values so that 99.7% of data would be within the mean? 9. Answer the questions. Use the z-table provided in the 12.5 lecture. a) Give a sketch of your normal distribution. b) Give a data value that is between 2 and 3 standard deviations below the mean. c) Convert the value to a z-score. d) Find the percentage of people that have data values that fall above this. Write your answer in a complete sentence. Be specific, as in include your data value, what it stands for and, if applicable, for what people (i.e. male or female). e) Graphically display the percentage found in (d) by shading a region on a bell curve. Include the data value and z-score on the horizontal axis. 10. Answer the questions. Use the z-table provided in the 12.5 lecture. a) Give a sketch of your normal distribution. b) Give a data value that is 2 and 3 standard deviations above the mean and one that is between 1 and 2 standard deviations above the mean. c) Convert the values to z-scores. d) Find the percentage of people that have data values that fall between these. Write your answer as a complete sentence. Be specific, as in include your data values, what they stand for and, if applicable, for what people (i.e. male or female). e) Graphically display the percentage found in (d) by shading a region on a bell curve. Include the data values and z-score on the horizontal axis. 11. Find your data value that is in the 99th percentile