Data Analysis

Step 1: Collect the heights(in inches) of 15 people of interest to you. These can be friends, family members, celebrities, sports players, etc. Make a list of the 15 heights. (10 points)
Step 2: Use these 15 heights, construct a stem-and-leaf plot. (10 points)
Step 3: Find the mode, median, and mean of the data. Which is the best measure of central tendency?(If it's not a whole number, round to the nearest tenth.) (10 points)
Step 3: Find the five-number summary of the data and construct a box-and-whisker plot. (10 points)
Step 4: Determine whether there is any outlier in your data. Explain. (10 points)
Step 5: Replace the maximum height in your data by 82(the height of the basketball player Kevin Durant). Now in your new data set, is there any outlier? (10 points)
Step 6: Use the smallest 6 numbers in your data, find the standard deviation. (Show your steps, round to the nearest tenth.) (10 points)
Step 7: Use the online calculator to find the standard deviation of all the 15 heights. (Input all your data in the box, choose "population" and click "calculate")(Round the standard deviation to the nearest tenth.) (10 points)
Step 8: Assume that all these 15 heights of your data are normally distributed. Sketch the normal curve and use it to answer the followings: (10 points)
a) 68 percent of the data are between _ and _
b) 95 percent of the data are between _ and _
Step 9: How many standard deviations from the mean is your height? (In other words, find the corresponding z score of your height.) (10 points)