1. Advanced Math Topics Chapter 3 Review Please round all answers to the nearest hundredth and make an answer column, just like the test tomorrow!

2. 1)If x 1 = 15, x 2 = 7, x 3 = 29, x 4 = 11, x 5 = 15, find… Σ 4x 2

3. 2) The prices of six tennis shoes are shown. Find the mean of the data. $67, $58, $33, $27, $100, $65

4. 3) Find the standard deviation of the shoe prices. $67, $58, $33, $27, $100, $65

5. 4) Find an interval for the shoe prices using k = 2. $67, $58, $33, $27, $100, $65

6. 5) At least what % of the data will fall in the interval? Use Chebyshev’s Theorem and k = 2. $67, $58, $33, $27, $100, $65

7. 6) In reality, what % of the data is in your interval? $67, $58, $33, $27, $100, $65

8. 7) Your shot put distance was 43 feet. Find your percentile rank. Distance(ft.)Frequency 50-594 40-497 30-398 20-294 Less than 202

9. 8) The prices of six lunches are shown. Find the average deviation of the data. $8, $7, $12, $8, $4, $6

10. 9) You and 5 friends shot 100 free throws. The results are below. Find your z-score. 67, 58, 33, 27, 98(your score), 65

11. 1)If x 1 = 15, x 2 = 7, x 3 = 29, x 4 = 11, x 5 = 15, find… Σ 4x 2 Solution Process: Square all values, add them up, then multiply by 4. Answer: 5844

12. 2) The prices of six tennis shoes are shown. Find the mean of the data. $67, $58, $33, $27, $100, $65 Solution Process: Add the values and divide by 6. Answer: 58.33

13. 3) Find the standard deviation of the shoe prices. $67, $58, $33, $27, $100, $65 Solution Process: Square all values, add them up, then multiply that # by 6. From that answer subtract the sum of the numbers squared(add them first then square the sum). Divide by 6 times 5 and square root the result. Answer: 26.38

14. 4) Find an interval for the shoe prices using k = 2. $67, $58, $33, $27, $100, $65 Solution Process: Multiply the standard deviation (26.38) by 2(the k-value) Subtract this value from the mean to find the lower limit. Add this value to the mean to find the upper limit. Answer: 5.57 - 111.09

15. 5) At least what % of the data will fall in the interval? Use Chebyshev’s Theorem and k = 2. $67, $58, $33, $27, $100, $65 Solution Process: Divide 1 by 2 squared. Subtract that result from 1. Move the decimal point to the right twice. Answer: 75%

16. 6) In reality, what % of the data is in your interval? $67, $58, $33, $27, $100, $65 Solution Process: Count how many of the 6 numbers are in the interval 5.57-111.09. Divide that number by 6. Move the decimal place two to the right. Answer: 100%

17. 7) Your shot put distance was 43 feet. Find your percentile rank. Distance(ft.)Frequency 50-594 40-497 30-398 20-294 Less than 202 Solution Process: Find the class mark of interval 40-49 which is 44.5. This is higher than your score so do not add anyone other than yourself in that interval. Add the frequency of all scores below yours (8 + 4 + 2) and ½ of the frequency tied with you (1). Divide this sum by the total frequency (25) and multiply by 100. Answer: 58 th percentile

18. 8) The prices of six lunches are shown. Find the average deviation of the data. $8, $7, $12, $8, $4, $6 Solution Process: Find the mean(7.5). Find the deviation from the mean for each number (0.5, 0.5, 4.5, 0.5, 3.5, 1.5) and find the average of those deviations. Answer: 1.83

19. 9) You and 5 friends shot 100 free throws. The results are below. Find your z-score. 67, 58, 33, 27, 98(your score), 65 Solution Process: Find the mean(58) and standard deviation(25.75). Subtract the mean from your score(98 – 58) and divide the result by the standard deviation. Answer: 1.55 This means you were 1.55 standard deviations above the mean.

20. Tiebreaker: The variance of a group of data is 121. What is the standard deviation? Answer: 11

21. HW P. 167 #1-11 Compute only the mean for #7. Winners: Odds only.