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Functions Mr. Fechter Name:____________________ Period:__________________ Chapter 1 Review 1. Capture recapture is a good way of using a __?__ to estimate a __?__. Sample; population 2. In Mr. Fechter’s backyard, he caught 10 ground squirrels and tagged them. Two months later he caught 8 ground squirrels and found that 5 of them were tagged. Estimate how many ground squirrels live in Mr. Fechter’s backyard. 16 squirrels 3. List 5 methods of displaying data and circle the names of the ones that are best suited for comparing two-variable data sets. Scatterplot, bar graph, pie chart, line graph, histogram, stem-leaf plot 4. Write a meaningful sentence where the first word starts with an A, the second word starts with a B, the third word starts with a C, … (one point for each word in sentence). 5. W1 = 10, w2 = 13, w3 = 5, w4 = 17, w5 = 22, f1 = 3, f2 = 3, f3 = 10, f4 = 23, f5 = 101, f6 = 2 5 Evaluate f i 3 = 44 i 4 Evaluate 4w i 2 6. i 1 = 137 On a test there were 7 As (90-100), 8 Bs (80-89), 3 Cs (65-79), 0 Ds (50-64), and 2 Fs (0-49). Show the results as a bar graph with relative frequencies. Be sure to use relative frequencies (percents of the whole) on the y-axis. What is wrong with showing this data as a histogram? Bins (intervals) would not be equal. 7. Sing a few lines of “Build Me Up Buttercup” and write down what group first sang it. 8. What score from the data set below is at the 45th percentile? 3, 4, 8, 8, 11, 13, 14, 15, 19, 20, 22, 22, 24, 33, 39, 41, 43, 45, 51, 86 19 What percentile is the score of 33? 70th percentile 9. Write a data set (made of integers) that is bimodal, has exactly 5 elements, has a median of 10, and a mean of 8. {2, 2, 10, 13, 13} 10. Data set {2, 7, 13, 41, 11, 53} What is the inter quartile range? 34 11. What is the smallest integer you could change 53 into in the above data set so that the new number would be an outlier? 93 12. Finish this: “I said a hip, hop, the hippy, the hippy to the hip hip hop you don’t stop a rockin’ to the bang bang boogy say up jump the boogy to the ____rhythm of the boogety beat____.” What song is this from? (The original please) Rappers Delight – Sugar Hill Gang 13. Find the variance of the data set {2, 7, 13, 41, 11, 53}. 428.97 14. Data set (day,temperature) {(1,52), (2,41), (3,48), (4,47), (5,59), (6,72), (7,71)} What is the rate of change in temperature from day 2 to day 5? 6 degrees per day 15. Display the data from problem 14 on your calculator. 16. Calculate Frequency Diagram of Quiz Scores 7 (3 p 2) = 69 p 2 12 17. 18. The following data was collected on one of Mr. Fechter’s quizzes last year. What is the mean of the data? Frequency 10 7.68 Write the formula for standard deviation using summation notation. 8 6 4 2 0 0 1 Bonus Write using summation notation and without using a list: 5 + 8 + 11 + 14 + 17 + 20 5 ∑ 5 + 3𝑖 𝑖=0 2 3 4 5 6 7 Scores on Last Quiz 8 9 10