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Unit 6 Review Name: _______________________ Statistics Date:______________ 1. The frequency table below shows the ages of the first ten people in line at the movie theater. Make a histogram using the RELATIVE frequencies of each age. LABEL!! Ages 22 23 27 29 30 Frequency 3 2 2 1 2 Rel. Freq 2. State the 5 Number Summary and then draw a box plot (box and whisker graph) 97, 75, 90, 100, 98, 91, 97, 75 min Q1 Q2 (median) Q3 max a. What percent is lower than Q2? b. What percent of the data covers the IQR? c. What is the value of the 25th percentile? 3. According to the data set in question 2, find the mean and standard deviation. 𝑥̅ : Sx: 4. Is it quantitative or qualitative? a. Ages of the coaches for a sports team b. Favorite color c. Most watched TV show d. Amount of rain in a month 5. The following data shows how many walkers have been shot since the apocalypse by members of The Walking Dead gang. 80, 56, 90, 85, 87, 89, 92, 65, 75, 78, 91, 84, 83, 86, 91, 99, 100, 84, 92, 87, 84, 64, 100, 92, 97, 86, 84, 83, 76, 77, 79, 79 For the data set above, using intervals of 5 (example: 0 - 4, 5 - 9, 10 – 14, etc.) a. Create a histogram and label it! Interval of Walkers Shot Frequency b. What is the shape of the data? c. What is the mean? d. What is the median? e. Which is a better measure of center and why? 6. What is an outlier and how does it affect the spread of your data? 7. For the following data set: 1, 0, 5, 3, 1, 2, 7, 4, 2, 1, 1, 0, 11, 3, 10, 2 mean: _____________ median:________________ mode:______________ range:_________________ 8. A set of 1,000 values has a normal distribution. The mean of the data is 120, and the standard deviation is 20. Answer the following questions based on this information. Draw the curve below to help. a. What percentage of the values are within the range of 65 and 165 (Have to use calculator). b. What percentage of the values are within the range of 80 and 140? c. What percentage of the values are over 160? d. How many values fall between 100 and 140? e. How many values fall between 60 and 180? 9. Given the scores for the last test in AFM: 78, 80, 87, 67, 79, 67, 92, 97, 74, 85, 79, 84, 81, 73, 95, 80, 73, 73, 81, 96, 86, 82, 70, 77, 85, 88, 83, 81 a. State the mean and standard deviation: Keep the numbers as whole. b. Draw the normal curve for this data and 3 standard deviations with labels. 10. A pair of running shoes lasts on average 450 miles with a standard deviation of 50 miles. Use the empirical rule to find the probability that a new pair of running shoes will have the life span of: a. 400 – 500 miles b. More than 550 miles Answer the following questions based on the histogram to the right: 11. How many people are 16 and older? 12. What percent of people are 10 and younger? 13. Which age interval had the highest frequency? a. What could be a situation that would fit this? 14. Draw a normal curve with the labels of mean and 3 standard deviations