Question

What is meant by measures of central tendency? Explain the characteristics of an ideal mean.

Answer 1

Answer:

Explanation:

Measures of central tendency are used to describe what is normal for a set of data. Mean, median, and mode are the three measures of central tendency. The mean and median can only be used for numerical data; however, the mean is more sensitive to outliers than the median.

Answer 2

Answer:

Measure of central tendency is a value which is typical of representative of a set of data

Explanation:

Measure of central tendency or an average is a figure (value) that represent the entire group of data. It is the single value that reads the characteristics of the complex and diversified set of given data. It is the value to which most of the observations in the series fall closer than to any other value of the series.

Measure of central tendency can be classified into as:

1. Positional average - Median and Mode

2. Mathematical Average - Arithmetic mean, Geometric mean and Harmonic mean

3. Other average - Moving average, composite average and Progressive average

Characteristics of Ideal  Mean:

1. It should be clearly and rigidly defined

2. It should be able to summarise the entire data

3. It should be simple to calculate

4. It should be capable for being used further in other statistical calculations.

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