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Key To Correction Long Quiz

This document contains the key to corrections for a statistics and probability quiz consisting of multiple choice and true/false questions across 4 tests. It also includes explanations and examples of concepts like population vs sample, discrete vs continuous data, and how to calculate the mean and variance of a random variable from its probability distribution. The key provides the answers to the multiple choice questions on the tests as well as worked examples of statistics concepts.

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Jaymar D. Arago
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89 views3 pages

Key To Correction Long Quiz

This document contains the key to corrections for a statistics and probability quiz consisting of multiple choice and true/false questions across 4 tests. It also includes explanations and examples of concepts like population vs sample, discrete vs continuous data, and how to calculate the mean and variance of a random variable from its probability distribution. The key provides the answers to the multiple choice questions on the tests as well as worked examples of statistics concepts.

Uploaded by

Jaymar D. Arago
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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STATISTICS AND PROBABILITY

Long quiz
KEY TO CORRECTION

TEST I.

1. B
2. A
3. D
4. C
5. A
6. B
7. C
8. D
9. B
10. D
11. A
12. C
13. B
14. A
15. D
16. C
17. D
18. A
19. A
20. B

TEST II.

1.
Population: All the students at your school
Sample: a sample of 50 students

2.
Population: All the people in the entire country
Sample: Sample of 1000-2000 people

3.
Population: All the households in Houston
Sample: 1500 families who are being sampled.

4.
Population: All the drivers in the US
Sample: 10,000 drivers who were being surveyed

5.
Population: all math classes
Sample: One of the math classes
Parameter: Average number of points earned per student over all math classes

6.
Population: All families with children at Knoll Academy
Sample: 100 families with children who are surveyed in the school.
Parameter: average (mean) amount of money spent on school uniforms by families with
children at Knoll Academy.
Statistics: average (mean) amount of money spent on school uniforms by families in the sample.
Variable: the amount of money spent by one family
Data: The amount that we collected from these 100 families, like $65, $75, and $95.

TEST III.

BASIS FOR
DISCRETE DATA CONTINUOUS DATA
COMPARISON
Discrete data is one that has clear Continuous data is one that falls on a
Meaning
spaces between values. continuous sequence.
Nature Countable Measurable
It can take only distinct or separate
Values It can take any value in some interval.
values.
Graphical Representation Bar Graph Histogram
Tabulation is known as Ungrouped frequency distribution. Grouped frequency distribution.
Classification Mutually Inclusive Mutually Exclusive
Function graph Shows isolated points Shows connected points
Example Days of the week Market price of a product
TEST IV.

Probability Earnings ($'000s)


xp x2p
p x
0.2 -50 -10 500
0.3 0 0 0
0.4 50 20 1000
0.1 150 15 2250
Σp = 1 Σxp = 25 Σx2p = 3750

μ = Σxp = 25
Var(X) = Σx2p − μ2
= 3750 − 252
= 3750 − 625
= 3125
σ = √3125 = 56

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