Student Manual Math Ready Unit 8 Lesson 4 29 Task 12 Independent Practice for

# Student manual math ready unit 8 lesson 4 29 task 12

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Student Manual Math Ready . Unit 8 . Lesson 4
29 Task 12: Independent Practice for Lesson 3 Two golfers kept track of their scores over the course of a year. Their scores are given below. (All courses played were 72 par) Player 1: 85, 80, 78, 83, 83, 88, 72, 75, 79, 79 Player 2: 72, 71, 90, 95, 70, 88, 78, 78, 70, 90 Who is the better golfer and why? Explain your reasoning. (Note: In golf, the lower score wins!) Student Manual Math Ready . Unit 8 . Lesson 4
30 Task #13: Explore Give an example of a set of five positive numbers whose median is 10 and whose mean is larger than 10. Student Manual Math Ready . Unit 8 . Lesson 5
31 Task #14: Mean and Median Investigation Part 1: Consider the set of numbers {10, 15, 25, 30, 30, 50, 55, 55, 60, 80} a. Find the mean. b. Find the median. Part 2: Now, replace the 80 with 800 to create a new set {10, 15, 25, 30, 30, 50, 55, 55, 60, 800} c. Find the mean. d. Find the median. e. What effect did changing 80 to 800 have on the mean and the median? Student Manual Math Ready . Unit 8 . Lesson 5
32 Task #15: Guided Notes Definition An is any data point that is more than 1.5 times the Inner Quartile Range (IQR) away from either the lower or upper quartile. {39, 51, 36, 39, 90, 55, 32, 61, 45, 53, 14} 1. Complete the Five Number Summary for the data set above. minimum = lower quartile (Q 1 ) = median = upper quartile (Q 3 ) = maximum = 2. Calculate the Inner Quartile Range (IQR). IQR = Q 3 – Q 1 = 3. Check for outliers. Q 1 – (1.5 x IQR ) = Q 3 + (1.5 x IQR ) = 4. Does this data set contain any outliers? If so, list them. Student Manual Math Ready . Unit 8 . Lesson 5
33 Task #16: Celestial Bodies and Home Prices 1. Calculate the mean and median for these distances. Would the typical distance of these celestial bodies best be communicated using the mean or the median? Why? 2. What impact do the very large values in the data set have on the mean? 3. Suppose that a sample of 100 homes in the metropolitan Phoenix area had a median sales price of \$300,000. The mean value of these homes was \$1,000,000. Explain how this could happen. Why might the median price be more informative than the mean price in describing a typical house price? Student Manual Math Ready . Unit 8 . Lesson 5 Object Distance in light years Moon 0.000000038 Venus 0.0000048 Jupiter 0.000067 Mars 0.0000076 Mercury 0.0000095 Syrius 8.6 Canopus 310 Saturn 0.00014
34 Task #17: Lesson 5 Exit Ticket Suppose the mean annual income for a sample of one hundred Minneapolis residents was \$50,000. Do you think the median income for this sample would have been greater than, equal to, or less than \$50,000? Explain? Student Manual Math Ready . Unit 8 . Lesson 5
35 Student Manual Math Ready . Unit 8 . Lesson 6 Task A statistically-minded state trooper wondered if the speed distributions are similar for cars traveling northbound and for cars traveling southbound on an isolated stretch of interstate highway. He uses a radar gun to measure the speed of all northbound cars and all southbound cars passing a particular location during a fifteen minute period.
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