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15 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Why are measures of Central value calculated? |
Measures of the central values summarize the whole series of statistical data into a single number that describes the series. |
Measures of the central values summarize the whole series of statistical data into a single number that describes the series. |
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Define an average. Why do we call an average to be a measure of Central tendency? |
*An average is a single value within the range of the data that is used to represent all the values in the series. *Since an average somewhere within the range of the data, it is sometimes called the measures of Central tendency. |
*An average is a single value within the range of the data that is used to represent all the values in the series.*Since an average somewhere within the range of the data, it is sometimes called the measures of Central tendency. |
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What are the different types of averages? Give names of each? |
Types of averages:- 1) Mathematical averages: Arithmetic mean, Geometric mean and Harmonic mean 2) Positional Averages: Median and Mode |
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Give 4 characteristics of good average |
*Simple to calculate *Easy to understand *Rigidly Defined *Based on all observations |
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Define arithmetic mean. In one sentence, differentiate a simple arithmetic from a weighted arithmetic mean. |
*Arithmetic mean is the value obtained by dividing the sum of the values of the individual items of a series by the number of observations. *Simple arithmetic mean is obtained where equal importance is given to all the items of the series. *Weighted arithmetic mean is obtained after giving weights as figures to different values of data to indicate the relative importance of terms. |
Arithmetic mean formula |
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When is the shortcut method of calculating arithmetic mean used? |
It is used when the data series is large and the individual observations have high values. |
It is used when the data series is large and the individual observations have high values. |
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When do we use the step deviation method to calculate arithmetic mean? |
*It is used when *It is used when the class intervals are equal for each class. *It is an extension of short cut method to minimise calculation. |
*It is used when the class intervals are equal for each class.*It is an extension of short cut method to minimise calculation. |
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Mention 2 merits and demerits of arithmetic mean |
Merits *Simple to calculate and understand. *Based on all observations. Demerits
*Affected by extreme values. *Problem of calculation incase of missing value. |
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Measure of Central tendency |
It means a single figure which represents the entire set of data |
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Objective of a measure of Central tendency |
To ascertain a single figure representing the whole group. |
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2 most commonly used measures of Central tendency |
*Arithmetic mean *Median |
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Which is the most commonly used measures of Central tendency?/ Which is the simplest measure of Central tendency of a series? |
Arithmetic mean |
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Arithmetic mean |
It may be defined as the number obtained by dividing the sum of the values of items by the number of items. |
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1 feature of arithmetic mean |
It is based on all the items in a series |
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1 merit of arithmetic mean |
It is capable of further statistical analysis |
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