Business Statistics Assignment: Advantages and Disadvantages

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Summary

Intrauterine Range: Advantages: Overcomes sensitivity to extreme data values; Focuses on the middle 50% of data. Disadvantages: Ignores the rest of the data; Does not provide information about the distribution of data.Variance: Advantages: Utilizes all the data; Measures the variability of the data; Provides information about the distribution of data. Disadvantages: Sensitive to extreme values; Square units make interpretation difficult.Standard Deviation: Advantages: Interpreted in the same units as the data; Provides information about the distribution of data; Less sensitive to extreme values than variance. Disadvantages: Square root makes calculation more difficult; Not a good measure for skewed data.Coefficient of Variation: Advantages: Allows comparison of standard deviation between different data sets; Useful for comparing data sets that have different units. Disadvantages: Not suitable for skewed data; Can be distorted by extreme values.

Table of Content

What are the differences among the various measures of variation, such as the range, intrauterine range, variance, standard deviation, and coefficient of variation, and what are the advantages and disadvantages of each? The differences:

  • Range: Range of a data set is deference between the largest and the smallest data value. It is the simplest measure of variability. It is very sensitive to the smallest and the largest data value.
  • Intrauterine Range: intrauterine range of a data set is the difference between he third quartile and the first quartile. It is range for the middle 50% of data. It overcomes the sensitivity to extreme data value.
  • Variance: The variance measures the variability the utilizes all the data. It also measures the average of the squared difference between each data value and the mean.
  • Standard Deviation: Is a standard of a data set is the positive square root of the variance. It is measured in the same units as the data making it more easily interpreted than the variance.
  • Coefficient of variance: the coefficient of variance indicates how range large he standard deviation is related to them.

The advantages and disadvantages:

Range: Advantages:

  • Easy to understand;
  • Simple to calculate;
  • It is a good measure for comparison as it span the whole distributions.

Disadvantages:

  • it uses only two of the observations and so can be distorted by extreme values;
  • Does not indicates any concentrations of the observations;
  • Cannot be use in calculating of the observation.

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