Topic 5 Review

Topic 5 Review

Part 1:

Concept Test Review

thespian : theater :: musician :

1 2 3 4

10%

0%

90%

0%

1. instrument

2. cd

3. symphony

4. movie

Amount of Sugar in Cereals

Cereal K/AGrams Sugar

(in 1 oz)

Golden CrispApple JacksCocoa PebblesCap’n CrunchAlpha BitsKellogg’s Raisin BranDouble Dip CrunchLife, CinnamonFrosted Mini-WheatsJust RightFruit & Fiber DateCorn ChexRice ChexCheeriosPuffed Rice

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

1 2 3 4 5

50%

0%

18%21%

11%

1. 52.8%

2. 28.4%

3. 100 %

4. 68%

5. 18.9%


(in 1 oz)


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

serving of Golden Crisp?

1 2. 3 4.

0%

68%

13%19%

1. 1

2. 2.35

3. 15

4. 3.75


(in 1 oz)


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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).


(in 1 oz)


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

3%

3%

79%

14% 1. 5755

2. 4745

3. 13

4. 365


(in 1 oz)


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

7%

3%

0%

90%

1. 2. 3 4.

1. 10.36

2. 14.56

3. 14

4. 10.45


(in 1 oz)


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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.

7% 11%

75%

7%

1 2 3 4

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


(in 1 oz)


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

Are any of the cereals outliers?

1 2

93%

7%

1. Yes

2. NoCereal K/A

Grams Sugar (in 1 oz)


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Looking at the dotplot of this data, does the Empirical Rule apply?

1 2

82%

18%

1. Yes

2. NoCereal K/A

Grams Sugar (in 1 oz)


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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.

74%

15%

11%

0% 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

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

0%

4%

13%

17%

67%

1. 4.78

2. 7.67

3. 4.61

4. 15

5. 8


(in 1 oz)


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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 2 3 4 5 6

0%

16% 16%

4%

36%

28%

1. 4

2. 5

3. 6

4. 7

5. 8

6. 9

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 2 3 4 5

27%

35%

23%

8%8%

1. 8

2. 9

3. 10

4. 11

5. 12

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 2 3 4 5 6

0%

85%

4%4%4%4%

1. 3

2. -3

3. 68%

4. -2

5. 99.7%

6. 95%

Topic 5 Review

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