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Practice Exercises: Show all of your work/calculations for ALL practice exercises. Please write legibly and label everything clearly. If you need more space, attach extra sheets to the back of this worksheet.

1. What is the term used for the general name of the representative value of a group of scores?

2. What would you call a score with an extremely high or low value (relative to other scores in the distribution)?

3. Complete the Set II, #9 "Practice Problem" from your text.

#9. a) Describe and explain the difference between the mean, median, and mode. (b) Make up an example (not in the book or in your lectures) in which the median would be the preferred measure of central tendency.

4. Complete the Set II, #10 "Practice Problem" from your text.

#10. a) Describe the variance and standard deviation. (b) Explain why the standard deviation is more often used as a descriptive statistic than the variance

5. A survey was conducted at a college to determine the number of hours students spent outside on weekends during the winter. For students from cold weather climates, the results were M = 8, SD = 1.5. For students from warmweather climates, the results were M = 5, SD = 4.2. Write an explanation of what these numbers mean to a person who has never had a course in statistics, and suggest conclusions the person can draw from these results.

6. ThescoresoffivehighschoolEnglishteachersonagrammartestwere17,19,14,20,and20. (a) Computethemean,sumofsquareddeviations,variance,andstandarddeviation. (b) Writeandexplanationofwhatyouhavedoneandwhattheresultsmeantoapersonwhohas neverhadacourseinstatistics.

7. Aconciergeisinterestedinhowlongittakestobringpassengerstotheairportandthenreturnto thehotel.Theroundtriptraveltimesforsixtaxidriverswere45,30,42,45,41,and43minutes. (a) Computethemean,median,andmode.(b)Basedonthemeasuresofcentraltendency,whatcanyouinferaboutthedistribution? (c)Computethesumofsquareddeviations,variance,andstandarddeviation. (d)Writeanexplanationwhattheresultsmeantoapersonwhohasneverhadacoursein statistics.

8. CompletetheSetII,#19"PracticeProblem"fromyourtext.

#19. You figure the variance of a distribution of scores to be -4.26 . Explain why your answer cannot be correct.

9.Makeupthreesetsofscores:(a)onewiththemeangreaterthanthemedian,(b)onewiththe medianandthemeanthesame,and(c)onewiththemodegreaterthanthemedian.(eachsetof scoresmusthaveatleastfivescores)