inclusive mean in statistics

Meanings

1. 1phrasesingulartechnicalmathematics

   A mean calculated by adding every value in a set, including the highest and lowest, and dividing by how many there are.

   Grammar: Used as a noun phrase: 'the inclusive mean is 12' — it names one particular average.

   Patterns

   • the inclusive mean of a set
   • calculate the inclusive mean
   • an inclusive mean of something

   For the scores 2, 4 and 9, the inclusive mean is 5.

   Unlike a trimmed mean, the inclusive mean keeps the extreme values in the calculation.

   The teacher asked the class to find the inclusive mean of all twelve measurements.

2. 2phrasesingulartechnicalmathematics

   A mean whose range covers both end values, so the first and last items are counted as part of the group.

   Grammar: Often used when describing age bands or class intervals that include their endpoints.

   Patterns

   • ages 18 to 65 inclusive
   • an inclusive mean for a range

   For ages 18 to 65 inclusive, the mean income was reported as $42,000.

   When the interval is inclusive, the mean is pulled up by the values at each end.

Common combinations

the inclusive mean of a data set

The inclusive mean of the data set was higher than the median.

calculate the inclusive mean

Students must calculate the inclusive mean before drawing the graph.

an inclusive mean value

The software reports an inclusive mean value for each group.

compare the inclusive mean with the median

Statisticians often compare the inclusive mean with the median.

Synonyms and how they differ

arithmetic mean

The everyday statistical term for the same calculation; 'inclusive mean' stresses that no values were left out.

average

More general and informal; it can refer to median or mode too, so it is less precise in statistics.

Opposites

Word family

inclusion noun

The act of including something, or the fact of being part of a group.

inclusively adverb

In a way that includes everyone or everything mentioned.

inclusiveness noun

The quality of taking in all groups or values without exclusion.

Commonly confused: inclusive mean in statistics or exclusive mean?

Practice

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