given values of median, mean, mode, first and third quartiles for the observations of a numeric feature, what insights can we gain into the statistical distribution of its observations?

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02-09-2022
Mathematics

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given values of median, mean, mode, first and third quartiles for the observations of a numeric feature, what insights can we gain into the statistical distribution of its observations?

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qwgreen qwgreen · Answer 1 · 2022-09-08T13:45:00-04:00

Median, mean, mode, first and third quartiles describe a statistical distribution because these are the measures of central tendency and dispersion of a distribution.

Median, mode and mean are known as the measures of central tendency of a statistical distribution. Because these three can even represent the whole data and its properties. Mean, median and mode gives the central value around which the whole distribution lies or its representative value.

Mean: It gives the average value of the distribution. That is the Total value/ Total number of values.

Median: It is a positional average and it is the middle value of the observations in a distribution.

Mode: Mode is also a positional average which gives the most repeated or frequent observation from the distribution

Now the first and third quartiles are measures of dispersion. It gives the variation of data values from the central value. It gives an idea of the scattering of the distribution around the central value.

First quartile: If the n observations are arranged in ascending order, then the n/4th value is the first quartile.

Third Quartile: It is the 3n/4th value in the ordered n observations.

These two are used to measure the quartile deviation from the central value. If the dispersion is large, then the measures of central tendency cannot be a representative value of the distribution.

Learn more about measures of central tendency and dispersion at https://brainly.com/question/17631693

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