Ryan Smith MATH-131 Lab 3 10/19 The goal of this lab is to find descriptive statistics for your quantitative data. Part 1: V2, Quantitative Data (3 points) Use the list of all 40 numbers from Lab 1, column V2 for this part of the lab. A. Identify the name of the quantitative variable V2 that you are using Stroke Rates per 10,000 B. Use StatCrunch or Minitab to find Mean Median Mode Standard Deviation 84.4 65.5 22,29,39 &112 51.67 Minimum Value Maximum Value Q1 Q3 22 173 39 144.25 C. Using the appropriate numbers from B above, make a box-and-whisker plot for your data. What does this plot tell you about your data? Boxplot of V2 0 20 40 60 80 100 120 140 160 180 V2 From the above box plot, it has been observed that there are no outliers present in the data. The quartiles are not equidistant from the median. The data is slightly skewed to the right. The data is slightly positively skewed 1 Ryan Smith MATH-131 Lab 3 10/19 (2 Points) D. Looking at your list in B, list your Minimum, Maximum and Mean data values. List below and then find the z-score for each. Minimum 22 xx ) s (22-84.4)/51.67=-1.208 Maximum 173 (173-84.4)/51.67=1.7147 Mean 84.4 0 Data Value, x z-score ( z= E. How do -scores indicate a data value is above the mean? ______Positive_________________. z below the mean? Negative. What -score always corresponds to the mean? Zero z (2 Points) F. Use Chebychev's Theorem to write a statement about the interval from 2 standard deviations below the mean to 2 standard deviations above the mean. List the specific interval you used for your data. Interpret the result in the context of your data. Chebychev's theorem statement is P(|X-|) K)1/ K 2 Let K = 2, then the equation becomes P(|X-84.4|) 2*51.67)1/ 22 P(-2 Max). _______________________________________ (2 points) 6. a) Sketch a normal curve using your value for . b) Shade the area where the bottom 10% of your values would be. c) What is the z - score for this area. ___________________ d) Find the corresponding data value (x) using x=+ z . e) Use this information to fill in the blanks. The first blank should be your name for x. "10% of all _________________________ in my population are below ____________." 3 MATH 131 Lab 5 8/16 (2 points) 7. a) Sketch a normal curve using your value for . b) Shade the area where the top 5% of your values would be. c) What is the z - score for this area. ___________________ d) Find the corresponding data value (x) using x=+ z . e) Use this information to fill in the blanks. The first blank should be your name for x. "5% of all _________________________ in my population are above ____________." 4