ACCA Applied Knowledge · Management Accounting · Summarising and analysing data
Which statement about the arithmetic mean, median and mode is correct?
The median is less affected by extreme values than the mean. The mean uses every observation and is pulled toward outliers, whereas the median depends only on the middle position. The mode is the most frequent value and need not be unique.
- AThe mean is unaffected by extreme values
- BThe median is the most frequently occurring value
- CThe mode always exists as a unique value in any data set
- DThe median is less affected by extreme values than the meanCorrect
Explanation
The median depends only on the middle position, so outliers have little effect, whereas the mean uses every value and is pulled by extremes. The mode is the most frequent value, and a data set can have no mode or several modes.
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