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14/03/2017
1
Recommended Book: Introduction to Business
statistics, a computer integrated approach by Alan H.
Kvanli, C. Stephen Guynes and Robert J Pavur.
14/03/2017
2
“Statistics is the science comprising rules and
procedures for collecting, describing,
analyzing and interpreting numerical data”
3/14/2017
Johaina Khalid, IMS, University of
Peshawar 3
To inform the public, For example
Results show that crest toothpaste prevents
tooth decay
Results show that cigarette smoking is
dangerous for health.
3/14/2017
Johaina Khalid, IMS, University of
Peshawar 4
14/03/2017
3
Application of statistics in business include
Quality Control
Product planning
Forecasting
Yearly reports
Personnel management
Market Research
3/14/2017
Johaina Khalid, IMS, University of
Peshawar 5
Statistics has got 2 main branches
DescriptiveDescriptiveDescriptiveDescriptive statisticsstatisticsstatisticsstatistics::::
The branch of statistics in which you collect data and
describe them is called Descriptive Statistics.
For Example: Calculating the average of test scores
of each class.
InferentialInferentialInferentialInferential statisticsstatisticsstatisticsstatistics::::
The branch of statistics in which you analyze and
interpret data. It is used to form conclusions about a
large group – a population by collecting a portion of
it- a sample
For example: Taking a sample of 100 items from
each batch of production and inferring that the
complete batch is of satisfactory quality if there are
less than 3 defective items in each batch.3/14/2017
Johaina Khalid, IMS, University of
Peshawar 6
14/03/2017
4
PopulationPopulationPopulationPopulation is the set of measurements (generally
belonging to a group of people or objects) that is
of interest.
A samplesamplesamplesample is the portion of the population about
which information is gathered.
RandomRandomRandomRandom SampleSampleSampleSample:::: is the true representative of the
population. A method of sampling in which each
and every item in the population has the same
chance of being collected for the sample.
If the sample includes the entire population, then
such a sample is called censuscensuscensuscensus....
3/14/2017
Johaina Khalid, IMS, University of
Peshawar 7
A characteristic (such as average) of the
population is referred to as a parameter.
A characteristic (such as average) of the
sample is called statistic.
ExampleExampleExampleExample
Average age of all the students in Ims is a
parameter, whereas average age of a sample of
100 students from IMS is a statistic.
3/14/2017
Johaina Khalid, IMS, University of
Peshawar 8
14/03/2017
5
There are two types of numerical data
DiscreteDiscreteDiscreteDiscrete datadatadatadata:::: The data set in which there are
only limited specific possible values
ExamplesExamplesExamplesExamples::::
3,5,2,1,4,2,5,2,4,4 (Coded responses from a
survey)
No of children in a family
No of calls received in a call centre in 1 hour
Throwing a single die twice and recording the
average of the two throws. Possible values are
1,1.5,2,2.5,3,3.5,4,4.5,5,5.5,6
3/14/2017
Johaina Khalid, IMS, University of
Peshawar 9
Continuous DataContinuous DataContinuous DataContinuous Data
The data set in which any value over a
particular range is possible. There are no gaps
in continuous data values.
Examples:Examples:Examples:Examples:
heights of students in a class
Weights of students in a class
3/14/2017
Johaina Khalid, IMS, University of
Peshawar 10
14/03/2017
6
1. NominalNominalNominalNominal DataDataDataData:::: are merely labels or assigned
values. For example
Sex (1= male, 2= female)
Colour of eyes (1- blue, 2= green, 3= brown)
Mobile phone service used ( 1 = ufone, 2=
Mobilink, 3= telenor, 4= warid, 5= Zong)
Nominal data is generally used for calculating
the ProportionProportionProportionProportion of data in each category.
2. OrdinalOrdinalOrdinalOrdinal DataDataDataData:::: can be arranged in order such
as best to worst. For example
3/14/2017
Johaina Khalid, IMS, University of
Peshawar 11
Grades of students in an exam (A to F)
Results of a cross country race (1 = fastest, 2=
runner up, …… 10= slowest)
3- IntervalIntervalIntervalInterval datadatadatadata:::: The data set in which the order as well
as difference between the values have meanings. It is
meaningful to add, subtract and average such data. For
Example,
Temperature
4- RatioRatioRatioRatio DataDataDataData:::: Ratio data have all the properties of
Interval data and a definite zero point too. To decide if
your data are interval or ratio, ask yourself whether
twice the value is twice the strength, for example, is
100 degree F twice as hot as 50 degree, NO but a 4
acre land is twice as large as 2 acres land, so latter one
in ratio data.. These includes areas, counts, volumes,
weights etc.
3/14/2017
Johaina Khalid, IMS, University of
Peshawar 12
14/03/2017
7
Note that Discrete data may be nominal,
ordinal, interval or ratio but continuous data
may only be interval or ratio.
The statistical techniques do not distinguish
between interval and ratio data
3/14/2017
Johaina Khalid, IMS, University of
Peshawar 13

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Introduction To Business Statistics

  • 1. 14/03/2017 1 Recommended Book: Introduction to Business statistics, a computer integrated approach by Alan H. Kvanli, C. Stephen Guynes and Robert J Pavur.
  • 2. 14/03/2017 2 “Statistics is the science comprising rules and procedures for collecting, describing, analyzing and interpreting numerical data” 3/14/2017 Johaina Khalid, IMS, University of Peshawar 3 To inform the public, For example Results show that crest toothpaste prevents tooth decay Results show that cigarette smoking is dangerous for health. 3/14/2017 Johaina Khalid, IMS, University of Peshawar 4
  • 3. 14/03/2017 3 Application of statistics in business include Quality Control Product planning Forecasting Yearly reports Personnel management Market Research 3/14/2017 Johaina Khalid, IMS, University of Peshawar 5 Statistics has got 2 main branches DescriptiveDescriptiveDescriptiveDescriptive statisticsstatisticsstatisticsstatistics:::: The branch of statistics in which you collect data and describe them is called Descriptive Statistics. For Example: Calculating the average of test scores of each class. InferentialInferentialInferentialInferential statisticsstatisticsstatisticsstatistics:::: The branch of statistics in which you analyze and interpret data. It is used to form conclusions about a large group – a population by collecting a portion of it- a sample For example: Taking a sample of 100 items from each batch of production and inferring that the complete batch is of satisfactory quality if there are less than 3 defective items in each batch.3/14/2017 Johaina Khalid, IMS, University of Peshawar 6
  • 4. 14/03/2017 4 PopulationPopulationPopulationPopulation is the set of measurements (generally belonging to a group of people or objects) that is of interest. A samplesamplesamplesample is the portion of the population about which information is gathered. RandomRandomRandomRandom SampleSampleSampleSample:::: is the true representative of the population. A method of sampling in which each and every item in the population has the same chance of being collected for the sample. If the sample includes the entire population, then such a sample is called censuscensuscensuscensus.... 3/14/2017 Johaina Khalid, IMS, University of Peshawar 7 A characteristic (such as average) of the population is referred to as a parameter. A characteristic (such as average) of the sample is called statistic. ExampleExampleExampleExample Average age of all the students in Ims is a parameter, whereas average age of a sample of 100 students from IMS is a statistic. 3/14/2017 Johaina Khalid, IMS, University of Peshawar 8
  • 5. 14/03/2017 5 There are two types of numerical data DiscreteDiscreteDiscreteDiscrete datadatadatadata:::: The data set in which there are only limited specific possible values ExamplesExamplesExamplesExamples:::: 3,5,2,1,4,2,5,2,4,4 (Coded responses from a survey) No of children in a family No of calls received in a call centre in 1 hour Throwing a single die twice and recording the average of the two throws. Possible values are 1,1.5,2,2.5,3,3.5,4,4.5,5,5.5,6 3/14/2017 Johaina Khalid, IMS, University of Peshawar 9 Continuous DataContinuous DataContinuous DataContinuous Data The data set in which any value over a particular range is possible. There are no gaps in continuous data values. Examples:Examples:Examples:Examples: heights of students in a class Weights of students in a class 3/14/2017 Johaina Khalid, IMS, University of Peshawar 10
  • 6. 14/03/2017 6 1. NominalNominalNominalNominal DataDataDataData:::: are merely labels or assigned values. For example Sex (1= male, 2= female) Colour of eyes (1- blue, 2= green, 3= brown) Mobile phone service used ( 1 = ufone, 2= Mobilink, 3= telenor, 4= warid, 5= Zong) Nominal data is generally used for calculating the ProportionProportionProportionProportion of data in each category. 2. OrdinalOrdinalOrdinalOrdinal DataDataDataData:::: can be arranged in order such as best to worst. For example 3/14/2017 Johaina Khalid, IMS, University of Peshawar 11 Grades of students in an exam (A to F) Results of a cross country race (1 = fastest, 2= runner up, …… 10= slowest) 3- IntervalIntervalIntervalInterval datadatadatadata:::: The data set in which the order as well as difference between the values have meanings. It is meaningful to add, subtract and average such data. For Example, Temperature 4- RatioRatioRatioRatio DataDataDataData:::: Ratio data have all the properties of Interval data and a definite zero point too. To decide if your data are interval or ratio, ask yourself whether twice the value is twice the strength, for example, is 100 degree F twice as hot as 50 degree, NO but a 4 acre land is twice as large as 2 acres land, so latter one in ratio data.. These includes areas, counts, volumes, weights etc. 3/14/2017 Johaina Khalid, IMS, University of Peshawar 12
  • 7. 14/03/2017 7 Note that Discrete data may be nominal, ordinal, interval or ratio but continuous data may only be interval or ratio. The statistical techniques do not distinguish between interval and ratio data 3/14/2017 Johaina Khalid, IMS, University of Peshawar 13