Topic 5 Review

1. Topic 5 Review Part 1: Concept Test Review

2. 10 thespian : theater :: musician : • instrument • cd • symphony • movie

3. Cereal K/A Grams Sugar (in 1 oz) Golden Crisp Apple Jacks Cocoa Pebbles Cap’n Crunch Alpha Bits Kellogg’s Raisin Bran Double Dip Crunch Life, Cinnamon Frosted Mini-Wheats Just Right Fruit & Fiber Date Corn Chex Rice Chex Cheerios Puffed Rice K K K K K A A K A A A A A A A 15 14 13 12 11 9 8 8 7 7 5 3 2 1 0 Amount of Sugar in Cereals

4. Cereal K/A Grams Sugar (in 1 oz) Golden Crisp Apple Jacks Cocoa Pebbles Cap’n Crunch Alpha Bits Kellogg’s Raisin Bran Double Dip Crunch Life, Cinnamon Frosted Mini-Wheats Just Right Fruit & Fiber Date Corn Chex Rice Chex Cheerios Puffed Rice K K K K K A A K A A A A A A A 15 14 13 12 11 9 8 8 7 7 5 3 2 1 0 One ounce is approximately 28.4 grams. What percentage of the weight of a box of Golden Crisp is sugar? • 52.8% • 28.4% • 100 % • 68% • 18.9%

5. Cereal K/A Grams Sugar (in 1 oz) Golden Crisp Apple Jacks Cocoa Pebbles Cap’n Crunch Alpha Bits Kellogg’s Raisin Bran Double Dip Crunch Life, Cinnamon Frosted Mini-Wheats Just Right Fruit & Fiber Date Corn Chex Rice Chex Cheerios Puffed Rice K K K K K A A K A A A A A A A 15 14 13 12 11 9 8 8 7 7 5 3 2 1 0 A teaspoon of sugar weighs about 4 grams. How many teaspoons of sugar are in a 1-ounce serving of Golden Crisp? • 1 • 2.35 • 15 • 3.75

6. Cereal K/A Grams Sugar (in 1 oz) Golden Crisp Apple Jacks Cocoa Pebbles Cap’n Crunch Alpha Bits Kellogg’s Raisin Bran Double Dip Crunch Life, Cinnamon Frosted Mini-Wheats Just Right Fruit & Fiber Date Corn Chex Rice Chex Cheerios Puffed Rice K K K K K A A K A A A A A A A 15 14 13 12 11 9 8 8 7 7 5 3 2 1 0 We divided the list into “kid” and “adult” cereals as indicated by a K or an A. If the cereal box had a cartoon character, a child’s toy, or a picture of children on the front, we classified it as a kid’s cereal (K). Otherwise, the cereal was classified as an adult cereal (A).

7. Cereal K/A Grams Sugar (in 1 oz) Golden Crisp Apple Jacks Cocoa Pebbles Cap’n Crunch Alpha Bits Kellogg’s Raisin Bran Double Dip Crunch Life, Cinnamon Frosted Mini-Wheats Just Right Fruit & Fiber Date Corn Chex Rice Chex Cheerios Puffed Rice K K K K K A A K A A A A A A A 15 14 13 12 11 9 8 8 7 7 5 3 2 1 0 If you eat a 1-ounce serving of Cocoa Pebbles every morning for a year, how many grams of sugar would you eat? • 5755 • 4745 • 13 • 365

8. Cereal K/A Grams Sugar (in 1 oz) Golden Crisp Apple Jacks Cocoa Pebbles Cap’n Crunch Alpha Bits Kellogg’s Raisin Bran Double Dip Crunch Life, Cinnamon Frosted Mini-Wheats Just Right Fruit & Fiber Date Corn Chex Rice Chex Cheerios Puffed Rice K K K K K A A K A A A A A A A 15 14 13 12 11 9 8 8 7 7 5 3 2 1 0 How many pounds of sugar is this? (one pound is about 454 grams.) • 10.36 • 14.56 • 14 • 10.45

9. Cereal K/A Grams Sugar (in 1 oz) Golden Crisp Apple Jacks Cocoa Pebbles Cap’n Crunch Alpha Bits Kellogg’s Raisin Bran Double Dip Crunch Life, Cinnamon Frosted Mini-Wheats Just Right Fruit & Fiber Date Corn Chex Rice Chex Cheerios Puffed Rice K K K K K A A K A A A A A A A 15 14 13 12 11 9 8 8 7 7 5 3 2 1 0 Give the 5-number summary, the range, and the inter-quartile range for the number of grams of sugar in all 15 types of cereal. • 0, 3, 7, 12, 15, 15, 9 • 3, 4, 8, 12, 15, 16, 8 • 0, 3, 8, 12, 15, 15, 9 • 1, 2, 3, 4, 5, 4, 2

10. Construct a box-and-whisker plot of the cereal data

11. Cereal K/A Grams Sugar (in 1 oz) Golden Crisp Apple Jacks Cocoa Pebbles Cap’n Crunch Alpha Bits Kellogg’s Raisin Bran Double Dip Crunch Life, Cinnamon Frosted Mini-Wheats Just Right Fruit & Fiber Date Corn Chex Rice Chex Cheerios Puffed Rice K K K K K A A K A A A A A A A 15 14 13 12 11 9 8 8 7 7 5 3 2 1 0 Are any of the cereals outliers? • Yes • No

12. Cereal K/A Grams Sugar (in 1 oz) Golden Crisp Apple Jacks Cocoa Pebbles Cap’n Crunch Alpha Bits Kellogg’s Raisin Bran Double Dip Crunch Life, Cinnamon Frosted Mini-Wheats Just Right Fruit & Fiber Date Corn Chex Rice Chex Cheerios Puffed Rice K K K K K A A K A A A A A A A 15 14 13 12 11 9 8 8 7 7 5 3 2 1 0 Looking at the dotplot of this data, does the Empirical Rule apply? • Yes • No

13. Please fill in the blanks for the empirical rule: with ______________ distributions, about __% of the observations fall within one standard deviation of the mean, about__% of the observations fall within two standard deviations of the mean, and about __% fall within three standard deviations of the mean. • Mound-shaped, 48, 69, 100 • Skewed Right, 68, 95, 99.7 • Symmetric, 68, 98, 99.8 • Mound-shaped, 68, 95, 99.7

14. Cereal K/A Grams Sugar (in 1 oz) Golden Crisp Apple Jacks Cocoa Pebbles Cap’n Crunch Alpha Bits Kellogg’s Raisin Bran Double Dip Crunch Life, Cinnamon Frosted Mini-Wheats Just Right Fruit & Fiber Date Corn Chex Rice Chex Cheerios Puffed Rice K K K K K A A K A A A A A A A 15 14 13 12 11 9 8 8 7 7 5 3 2 1 0 Find the standard deviation of the cereals by hand or with a calculator. • 4.78 • 7.67 • 4.61 • 15 • 8

15. A set of 10 math scores has a mean of 50 and a standard deviation of 8.  A set of 12 English scores has a mean of 55 and a standard deviation of 2. Use the empirical rule to find the following:Approximately how many of the 10 math exam scores are between 42 and 58?(Note: assume both exam scores have a mound-shaped distribution.) • 4 • 5 • 6 • 7 • 8 • 9

16. A set of 10 math scores has a mean of 50 and a standard deviation of 8.  A set of 12 English scores has a mean of 55 and a standard deviation of 2. Use the empirical rule to find the following:Approximately how many of the 12 English exam scores are between 61 and 49? • 8 • 9 • 10 • 11 • 12

17. A set of 10 math scores has a mean of 50 and a standard deviation of 8.  A set of 12 English scores has a mean of 55 and a standard deviation of 2. Use the empirical rule to find the following:What is the z-score of an Math exam that is 24 points below the mean? • 3 • -3 • 68% • -2 • 99.7% • 95%