1. Topic 5 Review Part 1: Concept Test Review

2. thespian : theater :: musician : 1. instrument 2. cd 3. symphony 4. movie 10

3. Amount of Sugar in Cereals CerealK/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 KKKKKAAKAAAAAAAKKKKKAAKAAAAAAA 15 14 13 12 11 9 8 7 5 3 2 1 0

4. One ounce is approximately 28.4 grams. What percentage of the weight of a box of Golden Crisp is sugar? 1. 52.8% 2. 28.4% 3. 100 % 4. 68% 5. 18.9% CerealK/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 KKKKKAAKAAAAAAAKKKKKAAKAAAAAAA 15 14 13 12 11 9 8 7 5 3 2 1 0

5. A teaspoon of sugar weighs about 4 grams. How many teaspoons of sugar are in a 1-ounce serving of Golden Crisp? 1. 1 2. 2.35 3. 15 4. 3.75 CerealK/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 KKKKKAAKAAAAAAAKKKKKAAKAAAAAAA 15 14 13 12 11 9 8 7 5 3 2 1 0

6. 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). CerealK/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 KKKKKAAKAAAAAAAKKKKKAAKAAAAAAA 15 14 13 12 11 9 8 7 5 3 2 1 0

7. If you eat a 1-ounce serving of Cocoa Pebbles every morning for a year, how many grams of sugar would you eat? 1. 5755 2. 4745 3. 13 4. 365 CerealK/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 KKKKKAAKAAAAAAAKKKKKAAKAAAAAAA 15 14 13 12 11 9 8 7 5 3 2 1 0

8. How many pounds of sugar is this? (one pound is about 454 grams.) 1. 10.36 2. 14.56 3. 14 4. 10.45 CerealK/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 KKKKKAAKAAAAAAAKKKKKAAKAAAAAAA 15 14 13 12 11 9 8 7 5 3 2 1 0

9. 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. 1. 0, 3, 7, 12, 15, 15, 9 2. 3, 4, 8, 12, 15, 16, 8 3. 0, 3, 8, 12, 15, 15, 9 4. 1, 2, 3, 4, 5, 4, 2 CerealK/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 KKKKKAAKAAAAAAAKKKKKAAKAAAAAAA 15 14 13 12 11 9 8 7 5 3 2 1 0

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

11. Are any of the cereals outliers? 1. Yes 2. No CerealK/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 KKKKKAAKAAAAAAAKKKKKAAKAAAAAAA 15 14 13 12 11 9 8 7 5 3 2 1 0

12. Looking at the dotplot of this data, does the Empirical Rule apply? 1. Yes 2. No CerealK/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 KKKKKAAKAAAAAAAKKKKKAAKAAAAAAA 15 14 13 12 11 9 8 7 5 3 2 1 0

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. 1. Mound-shaped, 48, 69, 100 2. Skewed Right, 68, 95, 99.7 3. Symmetric, 68, 98, 99.8 4. Mound-shaped, 68, 95, 99.7

14. Find the standard deviation of the cereals by hand or with a calculator. 1. 4.78 2. 7.67 3. 4.61 4. 15 5. 8 CerealK/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 KKKKKAAKAAAAAAAKKKKKAAKAAAAAAA 15 14 13 12 11 9 8 7 5 3 2 1 0

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.) 1. 4 2. 5 3. 6 4. 7 5. 8 6. 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? 1. 8 2. 9 3. 10 4. 11 5. 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? 1. 3 2. -3 3. 68% 4. -2 5. 99.7% 6. 95%