Question

In: Statistics and Probability

explain the limitations of individual measures of spread when describing data sets use measures of spread...

  1. explain the limitations of individual measures of spread when describing data sets

  2. use measures of spread to compare two related one variable data sets

  3. determine standard deviation for a one variable data set with or without technology

Solutions

Expert Solution

Limitations of measures of spread when describing data set

There are 4 measure of spread, namely, range, quartile deviation or semi interquartile range, mean deviation and standard deviation.

Now I'll list each of their limitations one by one

Range - Range= maximum observation- minimum observation.

range is based on two extreme observations only which is minimum observation and maximum observation which themselves are subject to chance fluctuations.

Quartile deviation- Quartile deviation =(Q3-Q1) /2, where Q1 and Q3 are first and third quartiles respectively.

Quartile deviation makes use of 50% data but It ignores 50% of the data.

Mean deviation-


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