Answer :
Using measures of variability, it is found that:
a. The situations with constant measures involve constant distributions, such as the number of snow days in Miami each year.
b. The situations with different measures involve constant distributions, such as the number of snow days in Buffalo each year.
What are the measures of variability in a data-set?
There are three measures of variability in a data-set: the range, the standard deviation and the variance.
The range is given by the difference between the maximum value and the minimum value of a data-set.
The standard deviation and the variance are described as follows:
- The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.
- The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.
- The variance is the square of the standard deviation.
Uniform(constants) data-sets will have similar measures. One example is the number of snow days in Miami each year, which is always of 0, hence the three measures will be of 0.
More disperse data-set will have different measures. Taking the city of Buffalo, in New York, as an example. On average, it should have 40 days of snow each winter, but on colder winters it can have 60 and warmer winters it can have 20. Hence the distribution with the number of snow days in Buffalo over a period of 20 years will have different range, standard deviation and variances.
More can be learned about measures of variability at https://brainly.com/question/13154114
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