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Types of
Samples 2
Z-scores
Standard
Deviation
100
200
300
400
100
200
300
400
100
200
300
400
100
200
300
400
500
500
500
500
Sample vs.
Population
Types of
Samples 1
100
200
300
400
500
Sample vs. Population for 100
Question: Explain the difference
between a sample and a
population.
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Sample vs. Population for 100
Answer: A sample is just a portion
of the entire population.
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Sample vs. Population for 200
Question: Which has a larger
spread: a smaller sample or a bigger
sample?
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Sample vs. Population for 200
Answer: bigger
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Sample vs. Population for 300
Question: The mean of a sample is 5, and the
mean of the population is 7. What is one
possible reason that the means are not the
same?
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Sample vs. Population for 300
Answer: Answers will vary
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Sample vs. Population for 400
Question: Three sample means were
calculated to be: 3.6, 2.1, and 3.0. What is the
best way to find an estimate for the
population mean?
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Sample vs. Population for 400
Answer: Find the mean of the
sample means.
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Sample vs. Population for 500
Question: If the population mean is 7.1, and the
standard deviation is 3, the middle 68% of the data
is between what two numbers?
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Sample vs. Population for 500
Answer: 4.1 and 10.1
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Types of Samples for 100
Question: What are two types of
samples that are biased?
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Types of Samples for 100
Answer: Self-selected, and
convenience
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Types of Samples for 200
Question: What type of sample is the
following scenario?
A poll on which TV show is the
best.
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Types of Samples for 200
Answer: Self-selected
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Types of Samples for 300
Question: What type of sample is the
following scenario?
You want to know the best movie in the
theater so you ask your best friends.
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Types of Samples for 300
Answer: Convenience
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Types of Samples for 400
Question: Is the following sample biased or
unbiased?
Picking a winner using a random number
generator on a calculator.
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Types of Samples for 400
Answer: unbiased
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Types of Samples for 500
Question:What type of sample is the following
scenario?
Jill wants to know if people like the
apple pie at her store so she asks her
customers.
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Types of Samples for 500
Answer: convenience
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Types of Samples 2 for 100
Question: What are the two types
of unbiased samples?
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Types of Samples 2 for 100
Answer: Systematic and Random
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Types of Samples 2 for 200
Question: Is the following sample biased or
unbaised?
I ask every 3rd person my question.
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Types of Samples 2 for 200
Answer: unbiased
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Types of Samples 2 for 300
Question: What type of sample is the following
scenario?
I close my eyes and point to who I will ask my
question.
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Types of Samples 2 for 300
Answer: random
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Types of Samples 2 for 400
Question: Which sample is the most unbiased?
a) Asking your best friends
b) People volunteering their answers
c) Asking every other person
d) Asking the first 5 people in my cell phone.
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Types of Samples 2 for 400
Answer: c. Asking every other
person
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Types of Samples 2 for 500
Question: Create a sample that is selfselected.
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Types of Samples 2 for 500
Answers will vary.
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Z-scores for 100
Question: What is the formula for
finding a z-score?
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Z-scores for 100
Answer:
xx

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Z-scores for 200
Question: Find the z-score for a
value of 94 if the mean is 90 and
the standard deviation is 3.5.
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Z-scores for 200
Answer: 1.1
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Z-scores for 300
Question: Find the probability that a
tree is less than 94 feet tall if the mean
is 90 and the standard deviation is
3.5.
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Z-scores for 300
Answer: 0.8643
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Z-scores for 400
Question: The weights of male monkeys
are normally distributed with a mean of 17
lbs and a std dev of 3. What is the
probability that a monkey is more than 14
lbs?
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Z-scores for 400
Answer: 0.84
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Z-scores for 500
Question: The mean weight of middle
school girls is 125.8 with a std dev of 10.4.
Find the probability that a girl weighs
between 124 and 145.6 lbs.
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Z-scores for 500
Answer: 0.5506
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Standard Deviation for 100
Question: Find the standard
deviation if the mean is 22.3.
22, 18, 19, 25, 27, 21, 24
Check Your Answer
Standard Deviation for 100
Answer: 3
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Standard Deviation for 200
Question: Find the standard
deviation if the mean is 6.
4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8
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Standard Deviation for 200
Answer: 1.32
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Standard Deviation for 300
Question: Find the standard deviation.
Data
5
6
7
8
9
Frequency
15
20
20
15
10
Check Your Answer
Standard Deviation for 300
Answer: 1.29
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Standard Deviation for 400
Question: Find the std dev
Data
10
12
13
15
16
Frequency
3
2
5
9
4
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Standard Deviation for 400
Answer: 1.93
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Standard Deviation for 500
Question: If the variance of a data
set is 8.4, what is the standard
deviation?
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Standard Deviation for 500
Answer: 2.90
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