Deciles are a form of statistical division used to divide a data set into 10 equal parts. Deciles are often used to measure the distribution of a numerical data set, which can provide useful information about the data set’s spread and central tendency. Deciles are a form of percentile, which is a statistical calculation that divides a data set into 100 equal parts (1).

The calculation of the decile is performed by ordering the data from lowest to highest and then dividing the data into 10 equal parts. The 1st decile is the lowest 10% of the data, the 2nd decile is the next lowest 10% of the data, and so on until the 10th decile, which is the highest 10% of the data (2). The deciles can then be used to calculate the interquartile range, which is the range between the 25th and 75th percentiles (3).

Deciles can also be used to compare different data sets. For example, the deciles of two different sets of data can be compared to determine if the two sets are similar or different (4). This can be especially useful when comparing two different populations or samples.

Deciles are a useful tool for analyzing data sets and comparing different data sets. By dividing the data into 10 equal parts, deciles can provide useful information about the distribution and spread of the data. This information can then be used to make more informed decisions or to compare different data sets.

References

1. Gut, P. (2018). Percentiles and Deciles. Retrieved from https://www.statisticshowto.datasciencecentral.com/percentiles-and-deciles/

2. Altman, D. G. (1991). Practical Statistics for Medical Research. London, UK: Chapman & Hall.

3. National Center for Health Statistics. (2016). Interquartile Range. Retrieved from https://www.cdc.gov/nchs/fastats/interquartile-range.htm

4. Munro, J. (2009). Statistics for the Social Sciences. Thousand Oaks, CA: Sage Publications.