# Measures Of Central Tendency And Measures Of Dispersion Pdf

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- Measures Of Central Tendency And Dispersion Formulas Pdf
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- Measures of central tendency: The mean

We give below some definitions of dispersion as given by different statisticians from time to time:. Dispersion, in general sense, also indicates the lack of uniformity in the size of items of a series. Dispersion is said to be significant when variation or lack of uniformity in the size of items of a series is great aid substantial. If the variability is less, dispersion is insignificant. This averaged deviation or dispersion is nothing else, but the average of the second order.

## Measures Of Central Tendency And Dispersion Formulas Pdf

We give below some definitions of dispersion as given by different statisticians from time to time:. Dispersion, in general sense, also indicates the lack of uniformity in the size of items of a series. Dispersion is said to be significant when variation or lack of uniformity in the size of items of a series is great aid substantial. If the variability is less, dispersion is insignificant.

This averaged deviation or dispersion is nothing else, but the average of the second order. Thus these second order averages represent the series and help in comparisons with other similar series. We know that the object of measuring dispersion is to ascertain the degree of deviation which exist in the data and hence, the limits within which the data will vary in some measurable variate or attribute or quality.

This object of dispersion is of great importance and occupies a unique position in statistical methods. Measures of dispersion supplement the information given by the measures of central tendency:.

It affords an estimate of the phenomena to which the given original data relate. This will increase the accuracy of statistical analysis and interpretation and we can be in a position to draw more dependable inferences. If the original data is expressed in different units, comparisons will not be possible.

But with the help of relative measures of dispersion, all such comparisons can be easily made. Accurate and dependable comparison between the variability of two series will lead to dependable and accurate results. Social problems of different area of the country can be compared with different areas and then these social evils can be removed by taking effective steps.

Measures of dispersion serve as a useful check on drawing wrong conclusions from the comparison of averages or measures of central tendency:.

The arithmetic mean may be the same of two different groups but it will not reveal about the prosperity of one group and backwardness of other.

This type of internal make-up can be known by the study of dispersion. Thus with the help of the study of dispersion we will not conclude that both the groups are similar. We may find that one group is prosperous and the other is backward by knowing the amount of variability around the measures of central tendency. Measures of dispersion are of great value in our statistical analysis provided relatives coefficients of dispersions are put into practice.

Otherwise, conclusions drawn will not be dependable and reliable to a great extent. Statistics , Measures , Dispersion , Measures of Dispersion. Divergence that Occur in the Normal Curve Statistics.

## Measures of Central Tendency and Dispersion PDF Free Download

Skip to main content. Search form Search. Measures of dispersion exercises with answers. Measures of dispersion exercises with answers measures of dispersion exercises with answers Measures of Central Tendency Calculator. However, when you use these tables to compute measures of association there is a distinct advantage to setting them up the same way all the time. The mean is the sum of 7 numbers divided by 7. The range of a data set is the difference between the maximum and minimum values in the set.

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Chapter 8. Describing Data: Measures of. Central Tendency and Dispersion. In the previous chapter we discussed measurement and the various levels at which.

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In statistics , a central tendency or measure of central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late s. The most common measures of central tendency are the arithmetic mean , the median , and the mode. A middle tendency can be calculated for either a finite set of values or for a theoretical distribution, such as the normal distribution.

### Measures of central tendency: The mean

While measures of central tendency are used to estimate "normal" values of a dataset, measures of dispersion are important for describing the spread of the data, or its variation around a central value. Two distinct samples may have the same mean or median, but completely different levels of variability, or vice versa. A proper description of a set of data should include both of these characteristics. There are various methods that can be used to measure the dispersion of a dataset, each with its own set of advantages and disadvantages.

Arithmetic Mean AM 2. Median 3. Mode 4. Geometric Mean GM 5. The concept of a typical value required by the problem.

In any research, enormous data is collected and, to describe it meaningfully, one needs to summarise the same. The bulkiness of the data can be reduced by organising it into a frequency table or histogram. These measures may also help in the comparison of data. The mean, median and mode are the three commonly used measures of central tendency. Mean is the most commonly used measure of central tendency. There are different types of mean, viz.

2. Measures of Central Tendency. • a measure that tells us where the middle of a bunch of data lies. • most common are Mean, Median, and Mode. Mean.

#### CENTRAL TENDENCY

The first exercise focuses on the research design which is your plan of action that explains how you will try to answer your research questions. Exercises two through four focus on sampling, measurement, and data collection. The fifth exercise discusses hypotheses and hypothesis testing. The last eight exercises focus on data analysis. This data set is part of the collection at the Inter-university Consortium for Political and Social Research at the University of Michigan.

Question 1 : A measure of dispersion is a good supplement to the central value in understanding a frequency distribution. How is coefficient of quartile deviation calculated? Answer : The study of the averages is only one sided distribution story. In order to understand the frequency distribution fully, it is essential to study the variability of the observations. Dispersion measures the extent to which different items tend to dispersion away from the central tendency.

Average: It is a value which is typical or representative of a set of data. Averages are also called Measures of Central Tendency. Simple to calculate. It should be easy to understand.

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