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Mathematics in our Modern World (1st year, 1st sem)
Lesson 2 Midterm
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Siahamba Paica
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Cards (52)
What is the branch of mathematics that deals with collecting, analyzing, interpreting, and presenting data?
Statistics
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How does
statistics
help us understand the world around us?
It helps gather information, understand
patterns
, and make
inferences
.
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What does the term
'data'
refer to in
statistics
?
Facts or figures that are collated for presentation, interpretation, and analysis.
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What are the methods of data collection in
statistics
?
Direct
or Interview Method
Indirect
or Questionnaire Method
Registration
Method
Experimental
Method
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What is the
direct
or
interview
method of data collection?
The researcher has direct contact with the
respondents
.
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How does the
indirect
or
questionnaire
method work?
It involves distributing questionnaires to a large number of people
simultaneously
.
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What is the
registration method
in data collection?
It is governed by
laws
and involves collecting data from
official records
.
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What is the purpose of the
experimental method
in data collection?
To find
cause-and-effect relationships
.
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What is a
population
in
statistics
?
The entire group that you want to draw conclusions about.
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What is a
sample
in
statistics
?
The
specific
group of individuals that you will collect data from.
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What are the requirements for a
sample
in
statistics
?
A sample must represent the entire
population
.
A sample must not be
biased
.
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What are the different sampling techniques in
statistics
?
Simple Random
Systematic
Stratified
Cluster
Convenience
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What is a
simple random sample
?
All members have an
equal chance
of being selected.
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How would you select a simple
random sample
of
4
employees from a company with
14
employees?
Assign a number to each employee and use a
random number generator
.
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What is
systematic sampling
?
Selecting one member for every
nth
of the population.
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How would you conduct
systematic sampling
with
200
students, selecting
every 3rd
student?
List the students alphabetically and select every 3rd student.
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What is
stratified sampling
?
Dividing the sample into
subgroups
before drawing random samples.
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How do you calculate
proportional numbers
in
stratified sampling
?
By multiplying the
total number
by the proportion of each subgroup.
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What is
cluster sampling
?
Dividing the population into
subgroups
and randomly selecting entire subgroups.
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How would you conduct
cluster sampling
in a company with offices in 5 cities?
Randomly select
2
offices to collect data.
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What is
convenience sampling
?
Including individuals who are the most accessible to the
researcher
.
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How would you conduct
convenience sampling
at a
university
?
Ask fellow students to complete a survey after class.
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Why is
data
presentation important in
statistics
?
Helps users study and explain statistics thoroughly.
Facilitates
clear presentation and comparison of data.
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What are the benefits of using
tables
in data
presentation
?
Clear presentation and comparison of data.
Allows detailed presentation that text cannot provide.
Systematic and orderly presentation in
rows
or
columns
.
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What is a
frequency distribution table
?
A table that shows data arranged into different
classes
with the number of cases in each class.
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What is
graphical presentation
of data used for?
Facilitates
comparison
and
interpretation
.
Provides a
visual impression
of
distributions
or
trends
.
Shows information that changes over time.
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What is a
line graph
used for?
To show information that changes over time using
connected points
.
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What is a
bar graph
used for?
To
compare
and contrast numbers or frequencies of
distinct
categories of data.
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What is a
pie graph
used for?
To show the
proportion
of each class through relative or
percentage
frequency.
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What are the
measures of central tendency
?
Mean
Median
Mode
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What does
central tendency
determine?
A
numerical value
in the
central region
of a distribution of scores.
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What is the
mean
also known as?
The
arithmetic mean
or
average
.
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How can the
mean
be affected?
It can be affected by
extreme scores
.
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How do you compute the
mean
?
Add all numbers and divide by the
total count
.
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What is the
mean
of the
hours
Jeffrey
worked if he worked 24, 25, 33, 50, 53, 66, and 78 hours?
47
hours
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What is the
median
?
The middlemost value of an arranged distribution.
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How do you find the
median
of a set of numbers?
Arrange the numbers and identify the
middlemost
value.
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What is the
median
of the prices
Php50
, Php55, Php60, Php65, Php12, Php35, Php48?
Php50
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What is the
mode
?
The value with the largest
frequency
in a distribution.
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How do you find the
mode
of a
data set
?
Identify the value that occurs
most frequently
.
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