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Chapter 2: Organizing Data. Section 2: Frequency Distribution and Histograms. Frequency Distribution. Lists the number of occurrences for each category of data. Classes. Categories of data created by using intervals of numbers Usually 5 to 15 classes.

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Chapter 2 organizing data

Chapter 2: Organizing Data

Section 2: Frequency Distribution and Histograms


Frequency distribution
Frequency Distribution

  • Lists the number of occurrences for each category of data


Classes
Classes

  • Categories of data created by using

    intervals of numbers

    • Usually 5 to 15 classes.


Class width

The difference between consecutive lower class limits

To find the class width…

1. largest data value – smallest data value

desired number of classes

2. Increase result to next whole number

Class Width


Class limits

The smallest value

within the class.

The largest value

within the class .

Class Limits

Upper Class Limit

Lower Class Limit


Relative frequency distribution

the relative

frequency is listed,

found by dividing the

frequency (f) of each

class by the sum of all

the frequencies (n).

class frequency (f)

total of all frequencies (n)

Relative Frequency Distribution


Class mark mid point
Class Mark (Mid-Point)

  • The number halfway between the lower and upper class limits of a class.

    To find the class mark…

    lower class limit + upper class limit

    2


Graphic representations of grouped frequency distributions
Graphic representations of (Grouped) Frequency Distributions

  • Histogram- A type of bar graph.

    - Horizontal axis represents classes by labeling

    the class boundaries

    - vertical axis represents frequency or relative

    frequency

      - no space between bars

    ·      - bars must be the same width

    - width of bar represents a quantitative value,

    rather than a category


Class boundary
Class Boundary

  • the halfway point between the upper limit of one class and the lower limit of the next class

    • used as endpoints of the bars in a histogram


Three Classes

Fr equency


Histogram examples cont
Histogram Examples (Cont).

frequency

Five Classes

TenClasses

F

F

F

F

F

F

F

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Frequency polygon
Frequency Polygon

  • type of line graph, horizontal axis labeled with class marks, vertical axis represents frequencies









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