Chapter2 biostatistics

2.1 - 1Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Chapter 2

2.1 - 2
Tables and Graphs
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Pulse Rates of Females and Males
Original Data
Copyright © 2010 Pearson Education

2.1 - 4Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.Copyright © 2010 Pearson Education
Frequency Distribution
Pulse Rates of Females
The frequency
for a particular
class is the
number of
original values
that fall into that
class.

are the smallest numbers that can actually belong to
different classes
Lower Class Limits
Lower Class
Limits

Upper Class Limits
are the largest numbers that can actually belong to
different classes
Upper Class
Limits

are the numbers used to separate classes, but without
the gaps created by class limits
Class Boundaries
Class
Boundaries
59.5
69.5
79.5
89.5
99.5
109.5
119.5
129.5

Class Midpoints
are the values in the middle of the classes and can be
found by adding the lower class limit to the upper class
Class
Midpoints
64.5
74.5
84.5
94.5
104.5
114.5
124.5
limit and dividing the
sum by two

Class Width
is the difference between two consecutive lower class
limits or two consecutive
lower class boundaries
Class
Width
10
10
10
10
10
10

Relative Frequency Distribution
relative frequency =
class frequency
sum of all frequencies
includes the same class limits as a frequency
distribution, but the frequency of a class is replaced
with a relative frequencies (a proportion) or a
percentage frequency ( a percent)
percentage
frequency
class frequency
sum of all frequencies
× 100%=

Relative Frequency Distribution
* 12/40 × 100 = 30%Total Frequency = 40
*

Cumulative Frequency Distribution
CumulativeFrequencies

Frequency Tables

Statistical Graphics

Histograms

Critical Thinking
Interpreting Histograms

Key Concept
We use a visual tool called a
histogram to analyze the
shape of the distribution of
the data.

Histogram
A graph consisting of bars of equal width
drawn adjacent to each other (without gaps).
The horizontal scale represents the classes
of quantitative data values and the vertical
scale represents the frequencies. The
heights of the bars correspond to the
frequency values.

Histogram
Basically a graphic version of a frequency
distribution.

Histogram
The bars on the horizontal scale are labeled
with one of the following:
(1) Class boundaries
(2) Class midpoints
(3) Lower class limits (introduces a small
error)
Horizontal Scale for Histogram: Use class
boundaries or class midpoints.
Vertical Scale for Histogram: Use the class
frequencies.

Relative Frequency Histogram
Has the same shape and horizontal scale as a
histogram, but the vertical scale is marked with
relative frequencies instead of actual frequencies

Frequency Polygon
Uses line segments connected to points directly
above class midpoint values

Ogive
A line graph that depicts cumulative frequencies

Dot Plot
Consists of a graph in which each data value is
plotted as a point (or dot) along a scale of values.
Dots representing equal values are stacked.

Stemplot (or Stem-and-Leaf Plot)
Represents quantitative data by separating each
value into two parts: the stem (such as the leftmost
digit) and the leaf (such as the rightmost digit)
Pulse Rates of Females

Bar Graph
Uses bars of equal width to show
frequencies of categories of qualitative data.
Vertical scale represents frequencies or
relative frequencies. Horizontal scale
identifies the different categories of
qualitative data.
A multiple bar graph has two or more sets of
bars, and is used to compare two or more
data sets.

Multiple Bar Graph
Median Income of Males and Females

Pareto Chart
A bar graph for qualitative data, with the bars
arranged in descending order according to
frequencies

Pie Chart
A graph depicting qualitative data as slices of a
circle, size of slice is proportional to frequency count

Scatter Plot (or Scatter Diagram)
A plot of paired (x,y) data with a horizontal x-axis
and a vertical y-axis. Used to determine whether
there is a relationship between the two variables

Time-Series Graph
Data that have been collected at different points in
time: time-series data

Chapter2 biostatistics

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