Why is the combination of the measures of central tendency and measures of variation so informative about a data set? Explain how they work together to provide a complete picture.
Why is the combination of the measures of central tendency and measures of variation so informative about a data set? Explain how they work together to provide a complete picture.
Why is the combination of the measures of central tendency and measures of variation so informative about a data set? Explain how they work together to provide a complete picture.
Why is the combination of the measures of central tendency and measures of variation so informative about a data set? Explain how they work together to provide a complete picture.
Definition Definition Characteristic of data to concentrate at certain values, usually in the center of the distirbution. The central tendency of the data is measured by descriptive statistics like mean, median, and mode, which are known as measures of central tendency. Depending upon the type of data under study, some measures of central tendency become more appropriate to use than others.
Expert Solution
Step 1
Measures of central tendency gives the middle or central value which represents the whole data in a single number. Mean, median and mode are the measures of central tendency. Whereas measures of dispersion gives information regarding spread of data as a single value. Range, variance, mean deviations, standard deviations are some measures of dispersion.
To know the complete information of dataset we must required both measures of central tendency and measures of dispersion.
For example. Consider two datasets
1. 10, 30, 60, 300
2. 100, 100, 100, 100
Here we see that both the datasets have same mean that is 100. But only considering mean we can't say that both dataset have same distribution, because we clearly see from datasets that both have different distribution, which can be seen using measures of dispersion.
