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Chapter 1 and 2 Test Questions and topics Multiple Choice 1. Review of misleading graphs, discussed during note taking in section 1.1 2. Review of Stem (and leaf) Plots - Part of homework assignment was to go and review stem plots. Do now given on this topic. 3. Review of positions in skewed distributions - this question type was told to entire class that it would appear on the test. 4. Understanding the appropriate measure of center and spread for a data set - directly from chart copied twice in class as well as applied to multiple homework and class work problems. Ex: 2.31 and 2.32 5. Making a box plot from data - understanding reading stem plot as well as box plot - quicker to do without calculator than with calculator. 6. Interpreting the Standard deviation - specifically covered in class. 7. Understanding quartiles and percentage of data between them. Specifically reviewed in class. Students can make a connection between quartiles and the invnorm calculator function. 8. Finding z-score given percentile, solving for standard deviation in the z-score formula. 9. Understanding a distribution is skewed and where the mean falls in relation to the median. Similar concept to number 3. 10. Understanding effects of changing largest number on mean and median. Example was done using the same premise given the data set 1, 2, 3, 4, 5 and 1, 2, 3, 4, 500 during class. 11. Understanding the concept of the median being in the middle of a group when all data is not given completely as quantities but concepts. 12. Understanding that the shape of a distribution never changes, and the mean and standard deviation of a z-scores is 0 and 1 respectively. First part stated in class second part stated in class as well as was a question on a previous quiz. 13. Using either table a or graphing calculator to find areas under a normal curve. 14. interpreting a normal probability plot - review question 2.12 15. Reading a cumulative relative frequency graph - question that came from notes in class as well as homework review problems. Students reviewed this concept specifically before taking the 2.1 quiz. Also must show that IQR is a number not an actual range despite its name. 16. Finding median when given a list with frequencies - using 1 var stats function on calculator correctly. 17. Area under a density curve - problem 2.27 18. Percentiles in a five number summary - concepts from problem 15 would be applicable to this problem as well. 19. Reading into conditional distributions. 20. Measure of center and spread for a symmetric distribution. Open Ended Questions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. Topics covered constructing a conditional distribution for a specific condition constructing a segmented bar graph interpreting data based off numerical data Understanding linear transformations and their effects on numerical measure of center and spread Finding proportions in the standard normal distribution (understanding the properties of the standard normal distribution were necessary as well). Normal density curves with mean and standard deviation other than that of the standard normal distribution. Students had to be able to read notation which was covered in class multiple times. a) sketch a density function b) find x values of z0scores similar to concept of extra practice I worksheet from class c) Finding percentile on the normal distribution. d) Understanding 68-95-99.7% rule - problem R2.6 part a. e) finding quartiles just as in the extra practice I worksheet from class Identifying outliers in a distribution given computer output. Making plots from computer outputs with and without outliers. Finding and interpreting percentiles given an x value and the data set. Students were told in class that they would have to find and interpret z-scores and percentiles specifically. Additionally, a find and interpret problem appeared on quiz 2.1. Describe shape and give the correct numerical measure of center and spread from a computer output. Additionally, they were asked to interpret a z-score. Find and compare standardized values (z-scores) for different data and determine which a better score is. Specific example like this was done using notes in class. Finding a score given a percentile. Finding a proportion using the normal distribution function on calculator or table a given varied information. Picture was encouraged to help aid in solution. Extra Credit question was assigned two classes prior to test. Extra credit question is directly copied from question 2.60. Students could use and normal distribution, find Q1, Q3, IQR, numbers that are considered outliers, and determine the percentage of scores below and above those two numbers. Since it says clearly that any normal distribution could be used, students could use the standard normal distribution, or answers from Question 4 Part E (which would save the student some time).