Questions on Data

2C Questions on Data

1. Jack scored the following when bowling: 60,70,60,70,80,95,100,110,105,120,125. Find the following: a) Mean b) Median c) IQR d) Range

e) Standard deviation

2. Jayla and Connie shot 10 free-throws 12 different times. Listed below is are the number of shots made: Jayla: 6,7,8,7,9,5,4,5,6,9,2,1 Connie: 1,3,5,7,9,2,9,1,9,2,8,10 a) Who was more consistent free throw shooter? b) How much more was Jayla’s average than Connie’s average? c) How much higher was Connie’s standard deviation than Jayla’s standard deviation? d) Who had the higher IQR? By how much? e) Who is more likely to have the following box-plot? . 3. By just examining the following data, which data set do you feel has the most variability? Verify with calculator. Data Set A (Average number of hours of sleep on a school night): 8,7,9,7,7,8,7,8,7,6 Data Set B (Average number of hours of sleep on a non-school night: 9,6,11,10,10,9,10,14,2,8 4. The following table shows the number of songs downloaded yesterday: Number of Songs 0 1 2 3 4 Number of People 3 4 2 2 1 a) Write a list (ex: 0,0,0,1,1 etc..) that represents the data. b) Find the median. 5. The following table shows the number of movies watched last week: Number of Songs 0 1 2 3 4 Number of People 2 4 1 1 5 Find the median (hint, make a list first) 6. The real estate section of a local newspaper listed the homes sold in the past months. The following are the sale prices of each home: $124,000; $136,000; $116,000; $127,000; $141,000; $131,000; $116,000; $160,000; $139,000; $52,000. Which would you use to find the “average” or best representation sale price? (mean, median or mode?) Explain 7. A local realtor reported that the average condominium sale price is $98,500. The following is a list of prices for the condominiums sold in the last two months: $67,000; $68,000; $104,000; $112,000; $54,000; $99,000; $87,000; $156,000; $163,000; $98,000. a. Find the mean, median and mode of data. b. How did the realtor calculate the “average”? c. Is this representative of the data? d. Suppose that two more condos are sold for $34,000. Which of the following would be true? (more than one could be true) A. The standard deviation would increase B. The range of the data would increase C. The mean would increase. D. The median would decrease. 8. A football team scored 21, 24, 27, 16, 20, 30, 35, 30 pts in the regular season. They didn’t score any points in the playoff game. Which would be affected the most: Mean, Mode, or median? Explain 9. Which of the following is most likely to have the highest standard deviation scores? (explain) A. Scores of 10 baseball games? B. Scores of 10 basketball games? C. Scores of 10 soccer games? D. Scores of 10 football games? 10. In example #9, which is most likely to have the lowest Interquartile range? 11. Charles scored the following points in a basketball game: 10, 12, 15, 20, 21, 23, 24, 25,30,15 and calculates the data. He then scores 20,20,21. Which of the following is true? A. The data becomes more peaked and the standard deviation increases. B. The data becomes less peaked the standard deviation increases. C. The data becomes more peaked and the standard deviation decreases. D. The data becomes less peaked and the standard deviation decreases. 12. Which is most likely to have a higher standard deviation if you were to choose random numbers from the first 100 A. Odd numbers B. Integers C. Multiples of 3 D. Multiples of 5 13. Place the following graphs in order from highest standard deviation to lowest standard deviation: