Q1. (a) What is the difference between a qualitative and quantitative variable? [5 Marks] (b) A town has 15 neighbourhoods. If you interviewed everyone living in one particular neighbourhood, would you be interviewing a population or a sample from the town? Would this be a random sample? If you had a list of everyone living in the town, called a frame, and you randomly selected 100 people from all neighbourhoods, would this a random sample? [5 Marks]

Answer:
(a) Qualitative data deals with meanings while quantitative data deals with numbers. Qualitative data describes properties or characteristics that are used to identify things. Quantitative data describes data in terms of quantity using the numerical figure accompanied by measurement unit. Statistics deals only with quantitative data.

Statistics deals with numerical data, which can be expressed in terms of quantitative measurements. So, the qualitative phenomenon like beauty, intelligence cannot be expressed numerically and any statistical analysis cannot be directly applied on these qualitative phenomena. But Statistical techniques may be applied indirectly by first reducing the qualitative data to accurate quantitative terms. For example, the intelligence of a group of students can be studied on the basis of their marks in a particular examination.

i) The number of transactions occurring in an ATM per day -- Quantitative data

ii) The popular brand name in cars is Maruthi. – Qualitative data

If want to do statistic in a particular area and interviewed everyone then it is called as population and if you doing statistic analysis for a town and interviewed only 15 neighborhoods then it is called that interviewing a sample from town. It is also called “chunk” which refers to the fraction of the population being investigated which is selected neither by probability nor by judgment.

Moreover, a list or framework should be available for the selection of the sample. It is used to make pilot...

...LESSON – 1
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Session – 1 Duration: 1 hr
Meaning of Statistics
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Example: Income of family, production of automobile industry, sales of cars etc. These quantities are numerical....

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Characteristics and Limitations of the K-S TestAn attractive feature of this test is that the distribution of the K-S test statistic itself does not depend on the underlying cumulative distribution function being tested. Another advantage is that it is an exact test (the chi-square goodness-of-fit test depends on an adequate sample size for the...

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managerial decision making and planning.
The decision making task of modern management is more demanding and more important
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Questionnair and schedule are both methods of collecting data in statistical survey. At questionnair the questions is sent by mail to respondents to fill it and send it back. At schedule the questions is filled by the enumerator.
Questionnair is a cheaper...

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Inferential statistics uses observations of past occurrences or available data i.e. descriptive statistics to make decisions about future possibilities and/or the nature of the entire body of data. Inferential statistics draws conclusions or makes interpretations, predictions and inferences about a population based upon an analysis of a sample.
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6. Measures of dispersion: range, the interquartile range, the variance, and the standard deviation. What do these measures tell you about the “spread” of the data? Why is it important to spend time performing basic descriptive statistics prior to conducting inferential statistical tests?
Variance of a sample = S2 = =
Standard Deviation of sample S=
Range is the difference between the highest and the lowest values (250-100) = 150...

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ACCORDING TO SELIGMAN “STATISTIC IS A SCIENCE WHICH DEALS WITH THE METHOD OF COLLECTING, CLASSIFYING, PRESENTING, COMPARING & INTERPRETING THE NUMERICAL DATA TO THROW LIGHT ON ENQUIRY.”
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