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Focusing on Average

Calculate the missing value when given the average and all other values!. Focusing on Average. The Average!. We will now focus specifically on average and how to find data points when given the average .

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Focusing on Average

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  1. Calculate the missing value when given the average and all other values! Focusing on Average

  2. The Average! • We will now focus specifically on average and how to find data points when given the average. • There are several types of problems that involve finding missing data points when you are given the average. • We will explore several of those scenarios today and then I’ll set you off on your own!

  3. Scenario 1 • On the first four tests, Chuck scored 84, 82, 79, and 90. If Chuck wanted a B (85 average), what must he score on the next test? • If you took 5 tests and had an 85 average, how many total points would you need? • How many points does Chuck have already? • How many points will he need to reach the total points required to have an 85 average? 85 • 5 = 425 points 84 + 82 + 79 + 90 = 335 points 425 – 335 = 90 points needed on the next test!

  4. Scenario 2 • Chuck has an 82 average after the first four tests. How many points must he score on the next test to reach his goal of an 85 average? • If he has an 82 average through four tests, how many points does he have? • How many points are required to have an 85 average? • How many points does he need to have an 85 average? 82 + 82 + 82 + 82 = 328 points 85 • 5 = 425 points 425 – 328 = 97 points needed!

  5. Scenario 3 • Chuck’s average is 82. He took five tests. His first four test scores were 74, 87, 79, and 78. What was his fifth test score? • If his average is an 82, how many points has he earned? • What is the total points earned on the four tests he knows about? • How many points did he score on the fifth test? 82 + 82 + 82 + 82 + 82 = 410 points 74 + 87 + 79 + 78 = 318 points 410 – 318 = 92 points!

  6. Grade Point Average • To calculate grade point average, each letter grade is assigned a point value. • This means an honors B is worth the same as a regulars A. You can’t achieve a GPA above 4.0 without honors courses. D’s are all worth 1 point, no matter the level!

  7. Grade Point Average • Calculating GPA is easy in your freshman year! • You are taking 7 classes. • All of your classes have equal importance. • Know which of your classes are honors classes. • Assign point values to each letter grade. • Divide by the number of classes!

  8. Student #1 What is student #1’s GPA? 1. Add up all of the points. 3 + 4 + 4 + 3 + 2 + 4 + 2 = 22 2. Divide by the number of classes. 22 ÷ 7 = 3.14 3. Use the regular point scale to determine your letter average. 3.14 is a little more than a B average. 3 4 4 3 2 4 2 Student #1 has a 3.14 GPA, which is a B average!

  9. Student #2 1. Add up all of the points. 2 + 3 + 1 + 2 + 4 + 3 + 1 = 16 2. Divide by the number of classes. 16 ÷ 7 = 2.29 3. Use the regular point scale to determine your letter average. 2.29 is a little more than a C average. 2 3 1 2 4 3 1 Student #2 has a 2.29 GPA, which is a C average!

  10. Student #3 1. Add up all of the points. 5 + 5 + 4 + 5 + 4 + 3 + 3 = 16 2. Divide by the number of classes. 29 ÷ 7 = 4.14 3. Use the regular point scale to determine your letter average. 4.14 is a little more than an A average. 5 5 4 5 4 3 3 Student #3 has a 4.14 GPA, which is an A average!

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