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ANS: Measures of central tendency will quantify the middle of the distribution. The measures in case of population are the parameters and in case of sample, the measures are statistics that are estimates of population parameters. The three most common ways of measuring the centre of distribution is the mean, mode and median.

In case of population, the measures of dispersion are used to quantify the spread of the distribution. Range, interquartile range, mean absolute deviation and standard deviation are four measures to calculate the dispersion.

The measures of central tendency and measures of dispersion summarise mass data in terms of its two important features.

i. With respect to nature of data to cluster around a central value

ii. With respect to their spread from their central value

Arithmetic mean is defined as the sum of all values divided by number of values.

Median of a set of values is the middle most value when the values are arranged in the ascending order of magnitude.

Mode is the value which has the highest frequency

The measures of variations are:

i. Range (R)

ii. Quartile Deviations ( Q.D)

iii. Mean Deviations (M.D)

iv. Standard Deviations (S.D)

Coefficient of variation is a relative measure expressed in percentage and is defined as:

CV in %=

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Q: 3 Give a brief note of the measures of central tendency together with their merits and Demerits Which is the best measure of central tendency and why?
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Related questions

What are the merits and demerits of the measures of central tendency?

easures of central tendency


What are the merits and demerits of measures of central tendencies?

easures of central tendency


What are the merits and demerits of central tendency?

The measures of central tendency are mean, median, and mode. The merits of mean are that it is easily calculated and easy to understands. Demerits are that it may be theoretical and cannot be used for qualitative date.


Which statements accurately describes the measures of central tendency?

"Measures of central tendency are statistical measures." is an accurate statement.


Advantages of measures of central tendency?

Benefits of Central Tendency


How do you find an average from the measures of central tendency?

One of the measures of central tendency IS the average, also known as mean. You can't calculate the average from other measures of central tendency.


What are the benefits of measures of central tendency Explain with an example?

"What are the benefits of measures of central tendency? Explain with an example


What is the measures of central tendency of 9?

The mean of 9 is 9. The median of 9 is 9. The mode of 9 is 9. These are the commonest measures of central tendency.


Which measures of central tendency should be used to calculate the cutoff time for the final race?

well...the measures of the central tendency would be 30 minutes


Which measures of central tendency become larger as the data is more dispersed?

None. Measures of central tendency are not significantly affected by the spread or dispersion of data.


What is the difference between the measures of central tendency and the measures of dispersion?

difference


Are measures of central tendency complement to measures of dispersion?

call thi