Topic 5 Review
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Transcript of 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
KKKKKAAKAAAAAAA
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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%
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
KKKKKAAKAAAAAAA
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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
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
KKKKKAAKAAAAAAA
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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).
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
KKKKKAAKAAAAAAA
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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
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
KKKKKAAKAAAAAAA
15141312119887753210
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
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
KKKKKAAKAAAAAAA
15141312119887753210
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
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
KKKKKAAKAAAAAAA
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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)
Golden CrispApple JacksCocoa PebblesCap’n CrunchAlpha BitsKellogg’s Raisin BranDouble Dip CrunchLife, CinnamonFrosted Mini-WheatsJust RightFruit & Fiber DateCorn ChexRice ChexCheeriosPuffed Rice
KKKKKAAKAAAAAAA
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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)
Golden CrispApple JacksCocoa PebblesCap’n CrunchAlpha BitsKellogg’s Raisin BranDouble Dip CrunchLife, CinnamonFrosted Mini-WheatsJust RightFruit & Fiber DateCorn ChexRice ChexCheeriosPuffed Rice
KKKKKAAKAAAAAAA
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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
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
KKKKKAAKAAAAAAA
15141312119887753210
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%