Data Presentation – PST06210 Operational Research

NTA Level 6 • Semester 2 • PST06210

Data Presentation

Operational Research • Source Session/Topic 3
Full source-text version: all educational wording from the extracted learning source is retained; only presenter/tutor metadata and web-layout noise are removed, while formatting is improved for readability.

Session 3: Data Presentation

Total Session Time: 120 minutes+ 120 minutes Assignment

Prerequisites

• None

Learning Tasks

By the end of this session students are expected to be able to:

• Define data presentation
• Describe methods of data presentation
• Explain the use of data presentation methods

Resources Needed

• Flip charts, marker pens, and masking tape
• Black/white board and chalk/whiteboard markers
• Computer and LCD projector

SESSION OVERVIEW

Activity/

Step Time Content

Method

1 05 minutes Presentation Introduction, Learning Tasks

15 minutes Brainstorming

2 Definition of Data Presentation

Presentation

40 minutes

3 Presentation Methods of Data Presentation

40 minutes Presentation

4 Use of Data Presentation Methods

Buzzing

5 10 minutes Presentation Key Points

6 10 minutes Presentation Evaluation

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PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 13

SESSION CONTENTS

STEP1: Presentation of Session Title and Learning Tasks (5 minutes)

READ or ASK students to read the learning tasks and clarify

ASK students if they have any questions before continuing

STEP 2: Definition of Data Presentation (15 minutes)

Activity: Brainstorming (5 minutes)

Ask students to pair up and brainstorm on the following question:

• What is data presentation?

ALLOW few students to respond?

WRITE their responses on the flip chart/ board

CLARIFY and SUMMARISE by using the content below

• Data presentation refers to the organization of data into tables, graphs or charts, so that

the logical and statistical conclusions can be derived from the collected measurements

STEP 3: Methods of Data Presentation (40 minutes)

• Data may be presented in three methods, i.e. textual, tabular or graphical

o Textual – presentation of data in words (text)

o Tabular – a systematic organization of data into columns and rows (a table)

o Graphical – presentation of data using graphs

• Data can be presented as:

o frequency distributions

o percentages

o proportions

o ratios and rates

o figures (graph, tables, charts

o measures of central tendency (mean, mode and median)

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PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 14

• Frequency distribution

o Frequency distribution is description of data presented in tabular form so that data

will be more manageable.

o It gives frequency in each value that appears in data

o counts number of responses in category

e.g. Frequency of categorical data

Frequency distribution of course students according to sex

Sex of course students Number of course students

Male 34

Female 27

Total 61

• Frequency distribution of numerical data

o Frequency distribution of numerical data is similar to that of categorical data except

here data have to be grouped in categories

o Example Weights (in kg) of 17 pharmaceutical students on enrolment at KCMC

School of Pharmacy (KSP) (45,43,45,47,54,53,62,38,54,34,45,53,56,42,51, 62,61)

o Procedures

 Select group for grouping these data (selected Groups (31-40; 41-50; 51-60; 61-

70)

 Count number of measurement (wt. of pharmaceutical students) in each group:

31-40 II (34, 38)

41-50 IIIIII (42, 43, 45, 45, 45, 47)

51-60 IIIIII (51, 53, 53, 54, 54, 56)

61-70 III (61, 62, 62)

 Add up and check the total

• Rules for grouping data

o Groups must not overlap, to avoid confusion

o There must be continuity from one group to the other (no gaps)

o Groups must range from the lowest to the highest measurements

o Groups should normally be of equal width

• Percentages

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PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 15

o Is number of units in the sample with a certain characteristics divided by total of units

in the sample multiplied by 100

o May also be called Relative frequencies

o Standardizes the data and make it easier to compare with similar data obtained in

another sample of different size or origin

o E.g. weight of 17 pharmaceutical students at KCMC school of Pharmacy on

enrolment

Weight Number of Relative frequency(percent)

(Kg) pharmaceutical

students

31-40 12 26.7

41-50 17 37.8

51-60 11 24.4

61-70 5 11.1

Total 45 100

• For calculating percentage Remember:

o Don‘t include missing numbers and not applicable in calculation.

o Don‘t know' is special category that should not counted as missing data.

o Should not be used if total is less than 30, as one unit makes a big difference in terms

of percentage

• Proportions

o Sometimes relative frequency are expressed in proportion instead of percentages

o Definition: proportion is numerical expression that compares one party of study units

to the whole.

o Can be expressed in fraction or decimal

Numerator is part of denominator

e.g. Calculate proportion of modules studied in first semester

• Ratio

o Is numerical expression that indicates relationship in quantity or amount or size

between two or more parts. Numerator is not part of denominator

e.g. Ratio of module studied in first semester to module to be studied in second

semester

• Rates

o Is quantity or amount or degree of event or disease measured over specified period.

e.g. Birth rate = number of live birth per 1000 population over period of one year
• Figures

o Figures make the descriptive data more readable when you have many tables

For categorical data use

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PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 16

o Bar charts

o Pie charts

• For numerical data use

o Histograms

o Line graphs

o Scatter diagrams

o Maps

• Bar charts

o Is simplest and most effective means of illustrating qualitative data

o Bars can either be horizontal or vertical

o The bars are not connected

e.g.57 Adolescents from Kaloleni streets in Arusha were asked the following

question: How often have you used cannabis for the past one year? This was

closed question with the following possible answers

o Frequently (more than 5 times), Occasionally (3 to 5 times), rarely (1 to 2 times) and

never

Categories Number Percentage

Frequently 7 12.2

Occasionally 9 15.8

Rarely 10 17.5

Never 31 54.4

Total 57 100

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PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 17

• Pie charts

o Provides quick view of data presented in different form.

• Used in qualitative number with few categories to avoid congestion
• Histograms

o Numerical data are often presented in histograms

o Are similar to bar charts however the difference is that in histogram ‗the bars‘ are

connected (as long as there is no gap between the data where as in bar charts the bars

are not connected as the different categories are distinct entitles)

• Line graphs

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PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 18

o Useful for numerical data if you want to show Trend over time

o It is easy to show two or more distribution in one graph as long as difference between

lines are easy to distinguish e.g. age distribution between males and females

STEP 4: Use of Data Presentation Methods (35 minutes)

Activity: Buzzing (5 minutes)

ASK students to pair up and buzz on the following question for 2 minutes

• What are the conditions in which methods of data presentation are used?

ALLOW few pairs to respond and let other pairs to add on points not mentioned

WRITE their response on the flip chart/board

CLARIFY and SUMMARIZE by using the content below

Conditions in which the following methods of data presentation are used

• Frequency distributions

o Frequency distributions are used for both qualitative and quantitative data.

o A frequency distribution of data can be shown in a table or graph.

o Some common methods of showing frequency distributions include frequency tables,

histograms or bar charts.

o A frequency table is a simple way to display the number of occurrences of a particular

value or characteristic.

o Statistical hypothesis testing is founded on the assessment of differences and

similarities between frequency distributions

o In Cross tabulation

o In Cumulative frequency

• Percentages

o Useful in expressing the relative frequency of survey responses

o In Comparison of groups

o As a fraction

o In advertisement, e.g. shops advertise discounts on products. These discounts are

percentages

• Proportions

o A proportion is simply a statement that two ratios are equal.

o Uses cross products to find a missing term in a proportion

o Used when administering medication

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PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 19

• Ratios and rates

o A ratio is a numerical expression which indicates the relationship in quantity, amount

or size between two or more parts. Example the ratio of males to females is 22:33, or 2:3.

o A rate is the quantity, amount or degree of a

disease or event measured over a specified period

o Commonly used rates in the health sector

are:

 Birth Rate – The number of live births per 1000 population over a period of one

year

 Death Rate – The number of deaths per 1000 population over a period of one

year

 Infant Mortality Rate (IMR) – The number of deaths of infants under one-year

deaths of age per 1000 live births over a period of one year

 Maternal Mortality Rate (MMR) – The number of maternal pregnancy-related in

one year per 100,000 total births in the same year

 Incidence Rate – The number of new cases per population over a specific period

of time (usually a year)

 Prevalence Rate – The number of existing cases per population over a specific

period of time (usually a year)

• Figures (graph, tables, charts)

o Graph:

 Line graphs can also be used to compare changes over the same period of time for

more than one group.

 Bar graphs are used to compare things between different groups or to track

changes over time (trends)

 The purpose of a graph is to present data that are too numerous or complicated to

be described adequately in the text and in less space

o Tables:

 Show the number of times that data with certain characteristics occur in a data set

 Tells how many or what proportion of a group has each value or range of value

out of all possible values

o Pie charts:

 Pie charts are best to use when you are trying to compare parts of a whole. They

do not show changes over time.

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PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 20

STEP 5: Key Points (10 minutes)

• Data can be presented as: Frequency distributions, percentage, proportions, ratios and

rates, Figures (graph, tables, charts, and Measures of central tendency (mean ,mode and

median)

• Bar charts are simplest and most effective means of illustrating qualitative data
• Frequency distributions are used for both qualitative and quantitative data

STEP 6: Evaluation (10 minutes)

• What are the methods of data presentation?
• What information should be presented in figures?

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PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 21

References

Anderson, D.R., Sweeney, D.J., Williams, T.A., Freeman, J. & Shoesmith, E. (2007).

Basic Statistics and epidemiology (2001). A practical guide, Radcliffe Medical Press,

United Kingdom

Beaglehole R, Bonita R and Kjellstrom (1993) Basic epidemiology, World Health

Organization, Geneva

Kazaura, M. R., Makwaya, C. K., Masanja, C. M. and Mpembeni, R.C. (1997). Lecture notesin

Biostatistics, manual of biostatistics: Muhimbili University College of Health Sciences,

Dar es Salaam

Polit, D. F and Beck, C. T (2004) Nursing Research – Principles and Methods, (7th Ed):

Lippincott Williams & Wilkins, Philadelphia

Rao, J. S., & Richard, J. (2002). An introduction to biostatistics-a manual for students in

helthsciences (3rd. Ed): New Delhi, India: Prentice-Hall of India Pvt.Ltd

Rosner B (2010): Fundamental of Biostatistics (7th Ed.): Boston, USA: Cengage Learning

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PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 22

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