Session 3 - Organizing Graphing Data - MZS 2020
Session 3 - Organizing Graphing Data - MZS 2020
Session 3 - Organizing Graphing Data - MZS 2020
Maria Zefanya Sampe, M.Si., M.M / Statistics – Short Semester Business Mathematics/ 2020
Learning Objectives
• Describe how to
organizing and graphing
qualitative data
• Describe how to
organizing and graphing
quantitative data
• Explain stem and leaf
display
ungrouped data
An ungrouped
data set contains
information on
each member of
a sample or
population
individually.
A frequency
distribution
exhibits how the
frequencies are
distributed over
various
categories
Data presented
in the form
of a frequency
distribution are
called grouped
data.
The difference between the lower limits of two consecutive classes gives the class width. The class width is also called the class size.
1
2
3
MZS / Statistics –FBT / 2018
Constructing Frequency Distribution Tables
Number of Classes
k-= number of classes
2𝐾> n n = samplesize
i = class interval
Class Width
𝑖>max 𝑣𝑎𝑙𝑢𝑒− m in 𝑣𝑎𝑙𝑢𝑒
𝑘
A histogram is a graph in which classes are marked on the horizontal axis and the
frequencies, relative frequencies, or percentages are marked on the vertical axis.
The frequencies, relative frequencies, or percentages are represented by the
heights of the bars. In a histogram, the bars are drawn adjacent to each other
MZS / Statistics –FBT / 2018
Graphing Grouped Data
Grouped (quantitative) data can be displayed in a histogram or apolygon
Polygons
3
2
1. Uniform or rectangular
2. Symetric
3. Skewed
1 Uniform or rectangular
A uniform or rectangular
histogram has the same
frequency for each class.
3 Skewed
A skewed-to-the-right histogram has a
longer tail on the right side