DescriptiveStatistics: Mean, Mode, Median, Range and Standard Deviation

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DescriptiveStatistics: Mean, Mode, Median, Range and Standard Deviation

Themean is the value obtained after finding the sum of all the numbersin a data set and then dividing the result obtained by the totalnumber of variables present. The mode on the other hand is describedas the value that appears repeatedly after a given set of data isorganized. The data is arranged in ascending order and the numberappearing most often is chosen as the mode.

Themedian is defined as the value that occurs in the middle of anumerical sequence after the data sample has been organized. It isobtained by arranging the data in numerical order and then selectingthe number in the middle as the median. Range is a measure of spreadand is defined as the difference between the largest and the leastvalues in a set of data. It is calculated by subtracting the smallestvalue from the largest value in the data set.

Standarddeviation is a measure of how numbers in a set of data are spread outfrom the mean value. It is therefore used to show the extent ofdispersion of values from the mean (Lane, n.d.).

Example

SwineProis a farm that rears piglets for sale. The piglets are sold by weightand so a recent change in the feed was made in an attempt to increasethe weight of the piglets. After some time, the weight, in pounds, oftwenty piglets was measured and recorded as follows:

12 7 9 10 14 7 6 9 11 6

14 12 10 15 12 13 14 8 14 15

Calculatethe mean, median, mode, range and standard deviation of this dataset.

References

Lane,D. M. (n.d.). Measures of Variability. Retrieved fromhttp://onlinestatbook.com/2/summarizing_distributions/variability.html.