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Name _________________________________ Section ______ Date ____________ In Class Group Worksheet/Math 1680/Ms. Stonebraker Fill in the blank for the following. 1. If a set of data is normally distributed then 68% of the data will fall within ____ standard deviations from the mean. 2. If a set of data is normally distributed then 95% of the data will fall within ____ standard deviations from the mean. 3. If a set of data is normally distributed then approximately 100% of the data will fall within ____ standard deviations from the mean. 4. The standard deviation can never be _____________. 5. When the data is normally distributed then the mean is ___________________ the median. 6. In a histogram, the percentage of people in a bar is represented by the _________________ of that bar of the graph. 7. In a histogram, the vertical scale is ______________. This is measured in percent per _______________. Answer the following questions for the following data. Show all work. 25 -10 15 6 51 36 8. What is the range? 9. What is the mean? 10. What is the median? 11. What is the Q1? 12. What is the Q3? 13. What is the IQR? 14. Draw a horizontal boxplot for the data below. 15. What is the standard deviation? 16. Explain why the median is sometimes referred to as the Q2. 17. Is there always 50% percent of the data below the mean? If no, give an example. 18. If the data were normally distributed then 68% of the data would fall between what two values? Show work. 19. If our data were normally distributed then 95% of the data would fall between what two values? Show work. 20. If our data were normally distributed then approximately 100% of the data would fall between what two values? Show work. 21. The number 25 is how many standard deviations from the mean? This number is called 25’s z-score. 22. The number -10 is how many standard deviations from the mean? This number is called -10’s z-score. No calculations should be done to answer the following questions. 23. Suppose -3.5 was added to all pieces in the data. How would the mean and standard deviation be affected? 24. Suppose -3.5 was multiplied by all pieces in the data. How would the mean and standard deviation be affected? 25. Refer to problem 1 on page 38 in the book. Draw the histogram for the 1970 data below. Do not neglect to label the axis.