Question

In: Statistics and Probability

Please indicate whether it is a measure of central tendency(center) a measure of variability(spread) or is...

Please indicate whether it is a measure of central tendency(center) a measure of variability(spread) or is neither. Be sure to evaluate the statistic as it is and not its potential role in calculating other statistics

75th percentile

coefficient of variation

1st quartile

Median absolute deviation

5the percentile

minimum

mean

standard deviation

mode

range

trimmed mean

median

50th percentile

variance

Interquartile range

Expert Solution

75th percentile - it is location on the data set. Hence it is neither central tendency nor a measure of variability

coefficient of variation
is defined as the ratio of the standard deviation to the mean

Hence standard deviation measures the spread , so it also becomes the measure of spread

1st quartile
it is location on the data set. Hence it is neither central tendency nor a measure of variability

Median absolute deviation
is a robust measure of the variability of a univariate sample of quantitative data
It is basically calculated as deviation from the mean value , hence a measure of spread

5the percentile
it is location on the data set. Hence it is neither central tendency nor a measure of variability. The 5th percentile of dataset

minimum
it is location on the data set. Hence it is neither central tendency nor a measure of variability . The minimum value of the dataset

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orchestra answered 2 years ago

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