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

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

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

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

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

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

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

7) Your shot put distance was 43 feet. Find your percentile rank. Distance(ft.)Frequency Less than 202

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

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

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

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

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

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) 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%

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 Divide that number by 6. Move the decimal place two to the right. Answer: 100%

7) Your shot put distance was 43 feet. Find your percentile rank. Distance(ft.)Frequency Less than 202 Solution Process: Find the class mark of interval which is 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 ( ) 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

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

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.

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

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