# Concept derivation guides

299 concept teaching guides, separate from the 36,000 individual question derivations.

[Search all questions & derivations →](/en/explore/)

1 1 results · Page 1 of 1



Concept guide



## [Descriptive statistics: mean, median, range and mode set with repetitions kept](/en/derivations/derivation-mko-descriptive-statistics-01/?from=%2Fen%2Fderivations%2F%3Fq%3Dmko-descriptive-statistics)

For the observation list D=(4,10,1,3,8,1,6,3), keeping repeated values, find the number of observations n, the arithmetic mean, the median, the range and the mode set under this entry's convention; prove the general fact 'minimum ≤ mean ≤ maximum' and use it as a check; finally show that deduplicating first would give a different (wrong) mean and median.

Descriptive summaries of nonempty observation lists

derivation-mko-descriptive-statistics-01





1 1 results · Page 1 of 1