Topic 5 Review Part 1: Concept Test Review

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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

One ounce is approximately 28.4 grams. What percentage of the weight of a box of Golden Crisp is sugar? % % % 4. 68% % 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

A teaspoon of sugar weighs about 4 grams. How many teaspoons of sugar are in a 1-ounce serving of Golden Crisp? 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

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

If you eat a 1-ounce serving of Cocoa Pebbles every morning for a year, how many grams of sugar would you eat? 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

How many pounds of sugar is this? (one pound is about 454 grams.) 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

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, , 4, 8, 12, 15, 16, , 3, 8, 12, 15, 15, , 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

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

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

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

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, Skewed Right, 68, 95, Symmetric, 68, 98, Mound-shaped, 68, 95, 99.7

Find the standard deviation of the cereals by hand or with a calculator 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

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.)

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?

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? % % 6. 95%