The Descriptive Statistics is the use of statistical techniques to describe data, thereby enabling you to:
- Distinguish between measures of central tendency, measure of variability, measures of shape, and measures of association.
- Understand the meaning of mean, median, mode, quartile, percentile, and range.
- Compute mean, median, mode, percentile, quartile, range, variance, standard deviation, and mean absolute deviation on ungrouped data.
- Differentiate between sample and population variance and standard deviation.
- Understand the meaning of standard deviation as it is applied by using the empirical rule and Chebyshev’s theorem.
- Compute the mean, mode, standard deviation, and variance on grouped data.
- Understand skewness, kurtosis, and box and whisker plots.
- Compute a coefficient of correlation and interpret it.
Measure of Central Tendency:
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- Ungrouped Data: One type of measure that is used to describe a set of data is the measure of central tendency.
- Mode: The mode is the most frequently occurring value in a set of data.
- Median: The median is the middle value in an ordered array of numbers.
- Mean: The arithmetic mean is the average of a group of numbers and is computed by summing all numbers and dividing by the number of numbers.
- Percentiles: Percentiles are measures of central tendency that divide a group of data into 100 parts.
- Quartiles: Quartiles are measures of central tendency that divide a group of data into four subgroups of parts.