Measurement And Graphical Representation Flashcards

1
Q

What is the essence of statistics as quoted by Sherlock Holmes?

A

A tool for understanding patterns and behaviors in data, allowing predictions about average behavior.

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2
Q

What does statistical thinking allow individuals to do?

A

Draw meaningful conclusions from numerical data by recognizing patterns, relationships, and trends.

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3
Q

What are the two primary types of data in statistics?

A
  • Quantitative Data
  • Qualitative Data
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4
Q

What is continuous data?

A

Data that can take any value within a range, such as height or weight.

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5
Q

What is discrete data?

A

Data that can only take specific, separate values, such as the number of students in a class.

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6
Q

What is nominal data?

A

Unordered categories, such as gender or eye color.

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7
Q

What is ordinal data?

A

Ordered categories, such as educational level or satisfaction ratings.

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8
Q

How is the mean age calculated?

A

Mean age = Sum of all ages / Number of people.

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9
Q

What is the mean age in the example provided?

A

39 years old.

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10
Q

What are the common measures of descriptive statistics?

A
  • Mean
  • Median
  • Mode
  • Range
  • Standard Deviation
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11
Q

What does the median represent?

A

The middle value when data points are arranged in order.

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12
Q

What is the mode in a dataset?

A

The most frequently occurring value in a dataset.

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13
Q

What does standard deviation measure?

A

The dispersion of data points around the mean.

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14
Q

What is the main goal of statistics?

A

To understand why certain characteristics differ among individuals.

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15
Q

When are statistics particularly useful?

A

For studying characteristics of a population when only a sample is accessible.

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16
Q

What is a correlation matrix?

A

A table showing the correlation coefficients between multiple variables.

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17
Q

What does a positive correlation indicate?

A

As one variable increases, the other variable tends to increase as well.

18
Q

What is a box plot used for?

A

To summarize data using the median, quartiles, and potential outliers.

19
Q

What is a scatter plot?

A

A graph displaying values for two variables, showing the relationship between them.

20
Q

What is the function of a heatmap in data visualization?

A

To visualize data density using color coding to represent values.

21
Q

What are the steps to create descriptive statistics in SPSS?

A
  • Click on the ‘Analyse Tab’
  • Select ‘Descriptive Statistics’
  • Choose ‘Frequencies’
  • Add variable of interest
  • Uncheck ‘Display frequency tables’
  • Click ‘Statistics’ and choose indices
  • Click ‘OK’
22
Q

Fill in the blank: Qualitative data describes _______.

A

[characteristics or qualities]

23
Q

True or False: The range is the difference between the maximum and minimum values.

24
Q

What does a histogram illustrate?

A

The frequency distribution of continuous numerical data by grouping into bins.

25
What is the purpose of a pie chart?
To represent proportional data as slices of a circle, illustrating the parts of a whole.
26
What is the formula for calculating the mean?
Mean = (Sum of all data points) / (Number of data points).
27
Which variable types are classified as continuous?
* Age * LDL * Height
28
Which variable types are classified as nominal?
* Gender * Blood Group * Smoke
29
Which variable types are classified as ordinal?
* Feeling Happy * Social Class
30
Which variable types are classified as discrete?
* ID * Number of Children
31
What color range indicates a negative correlation in a heatmap?
Blue ## Footnote Ranges from blue (negative correlation) through white (no correlation) to red (positive correlation)
32
What does the diagonal of a correlation heatmap represent?
Perfect correlation (1.0) ## Footnote Each variable is perfectly correlated with itself.
33
What is the purpose of the 'coolwarm' color scheme in a heatmap?
To identify positive and negative correlations at a glance ## Footnote Red indicates positive correlations, while blue indicates negative correlations.
34
What information is contained in each cell of a correlation heatmap?
Exact correlation coefficient ## Footnote Allows for precise interpretation of relationships between variables.
35
What characteristic of a correlation matrix is shown across the diagonal?
Symmetry ## Footnote Correlation between A and B is the same as between B and A.
36
What is one use of a correlation heatmap?
Quickly identifying strong positive or negative correlations ## Footnote Useful for detecting patterns or clusters of related variables.
37
How does a heatmap aid in data analysis?
Compresses a large amount of information into an easily interpretable visual format ## Footnote Excellent for exploratory data analysis.
38
What is a key strength of using heatmaps?
Effective for visualizing large datasets ## Footnote Easily highlights patterns, correlations, and anomalies.
39
Understanding and utilizing what type of representations are essential for effective communication in statistics?
Graphical representations of data ## Footnote Choosing appropriate graph types enhances understanding and decision-making.
40
Fill in the blank: The heatmap's strength lies in its ability to _______.
compress a large amount of information into an easily interpretable visual format
41
True or False: The correlation between two variables can differ based on their order in a heatmap.
False ## Footnote The correlation between A and B is the same as between B and A, ensuring symmetry.