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Advanced Algebra Chapter 11 Review Make sure you know how to do the following: Calculate the mean, median, mode, range and standard deviation Bring your calculators!!! Know what an outlier is Understand what bias means Know what the different types of samples are Make sure you are able to calculate the margin of error and sample size separately Interpret the 68-95-99.7 percentages and normal distribution curve 1. Fill in all the possible percentages for the normal distribution curve. 2. Find the mean, median and mode of the data set. The number of gas stations per county: 135, 94, 217, 306, 142, 410, 63, 612. 3. Identify the outlier in the data set. Then find the mean, median, mode, range and standard deviation of the data set when the outlier is included and when itβs not. 23, 26, 27, 19 25, 62, 22, 18, 15 1 4. The data set below gives the wages, in dollars, of landscape workers for one day. On a holiday, such as the coming Memorial Day holiday, servers earn a 50% bonus to their wage. Find the mean, median, mode, range, and standard deviation of their wages and their wages with the bonus. 36.04, 33.23, 42.14, 63.11, 29.43, 47.66, 55.81, 82.14 Identify the type of sample describe. Then tell if the sample is biased. 5. A journalist is sponsoring a poll, and wants to find out the preferences of cell phones amongst teenagers across the state regarding their favorite type of phone they use. The journalist surveys teenagers in the local city to gather his data Find the margin of error for a survey with the given sample size. Round your answer to the nearest tenth of a percent. 6. 1700 7. 250 Find the sample size required to achieve the given margin of error. Round your answer to the nearest whole number. 8. 34% 9. 7% 2 10. Teams in the National Basketball Association are divided into two conferences, the Eastern Conference and the Western Conference. The table below shows the margin of victory in each conferenceβs championship series for the 1990-2004 seasons. Western Conference Margins of Victory 48, 3, 19, 17, 4, 4, 14, 3, 13, 19, 13, 7, 17, 10, 14 Eastern Confernce Margins of Victory 2, 31, 10, 17, 10, 11, 17, 13, 3, 5, 41, 5, 17, 11, 17 a. Find the mean, median, mode, range, and standard deviation of the Eastern Conference margins of victory. b. Find the mean, median, mode, range, and standard deviation of the Western Conference margins of victory. c. Compare the statistics for each set of data and make a conclusion about the data. 3 11. In a survey of 1350 U.S. adults, 41% said that they have purchased a product online. Find the margin of error for the survey. Then give an interval that is likely to contain the exact percent of all U.S. adults who have purchased a product online. A normal distribution has a mean of 45 and a standard deviation of 6. Use the standard deviation of 7. Find the indicated probability for a randomly selected x-value from the distribution. HINT: Think about the percentages 12. π(π₯ β€ 51) 15. π(π₯ β₯ 45) π(π₯ β€ 33) 14. π(π₯ β₯ 33) π(π₯ ππ πππ‘π€πππ 39 & 57) 17. π(π₯ β₯ 57) 13. 16. 4