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Topic 5 Review
Part 1:
Concept Test Review
thespian : theater :: musician :
1.
2.
3.
4.
instrument
cd
symphony
movie
90%
10%
0%
1
2
0%
3
4
Amount of Sugar in Cereals
Cereal
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/A
Grams Sugar
(in 1 oz)
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? Cereal
Grams Sugar
K/A
(in 1 oz)
50%
1.
2.
3.
4.
5.
52.8%
28.4%
100 %
68%
18.9%
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
11%
A
A
15
14
13
12
11
9
8
8
7
21%
7
5
3
2
1
0
3
4
18%
0%
1
2
5
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.
1
2.35
15
3.75
Cereal
K/A
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 19%
Cheerios
Puffed Rice
K
K
K
K
K
A
A
K
A
A
A
A
A
A
13%
A
Grams Sugar
(in 1 oz)
15
14
13
12
11
9
8
8
7
7
5
3
2
1
0
68%
0%
1
2.
3
4.
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
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/A
Grams Sugar
(in 1 oz)
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?
14%
1.
79%
2.
3%
3.
3%
4.
5755
4745
13
365
Cereal
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/A
Grams Sugar
(in 1 oz)
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.)
1.
2.
3.
4.
10.36
14.56
14
10.45
Cereal
7%
3%
0%
90%
1.
2.
3
4.
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/A
Grams Sugar
(in 1 oz)
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.
1. 0, 3, 7, 12, 15, 15, 9
Grams Sugar
Cereal
K/A
(in 1 oz)
2. 3, 4, 8, 12, 15, 16, 8
Crisp
K
15
3. 0, 3, 8, 12, 15, 15, 9 Golden
Apple Jacks
K
14
Cocoa Pebbles
K
13
Cap’n Crunch
K
12
4. 1, 2, 3, 4, 5, 4, 2
Alpha Bits
K
11
7%
7% 11%
75%
1
2
3
4
Kellogg’s Raisin Bran
Double Dip Crunch
Life, Cinnamon
Frosted Mini-Wheats
Just Right
Fruit & Fiber Date
Corn Chex
Rice Chex
Cheerios
Puffed Rice
A
A
K
A
A
A
A
A
A
A
9
8
8
7
7
5
3
2
1
0
Construct a box-and-whisker plot
of the cereal data
Are any of the cereals outliers?
1.
2.
Yes
No
Cereal
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
93%
K/A
Grams Sugar
(in 1 oz)
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
7%
1
2
Looking at the dotplot of this data,
does the Empirical Rule apply?
1.
2.
Yes
No
Cereal
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
82%
K/A
Grams Sugar
(in 1 oz)
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
18%
1
2
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.
0%
1.
11%
2.
15%
3.
74%
4.
Mound-shaped, 48, 69, 100
Skewed Right, 68, 95, 99.7
Symmetric, 68, 98, 99.8
Mound-shaped, 68, 95, 99.7
Find the standard deviation of the
cereals by hand or with a calculator.
1.
4.78
Cereal
67%
2.
7.67
17%
3.
4.61
13%
4.
15
4%
5.
0%
8
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/A
Grams Sugar
(in 1 oz)
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 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.
4
5
6
7
8
9
36%
28%
16%
16%
4%
0%
1
2
3
4
5
6
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.
8
9
10
11
12
35%
27%
23%
1
2
8%
8%
3
4
5
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.
3
-3
68%
-2
99.7%
95%
85%
0%
1
2
4%
4%
3
4
4%
4%
5
6
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