karlamccanless7524 karlamccanless7524
  • 13-02-2024
  • Mathematics
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a large sample is taken from an asymmetric distribution with a long left tail. which will be larger - mean or median?

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karmenchong karmenchong
  • 13-02-2024

Answer:

For distribution with a long left tail, Mean will be larger than Median.

Step-by-step explanation:

  • A tail of an distribution means there are outliers.
  • An outlier has more impact to mean than median.

For Left-skewed distribution (left tail):

  • Outliers are smaller than median.
  • Thus, Mean is smaller than Median

For Right-skewed distribution (right tail):

  • Outliers are larger than median.
  • Thus, Mean is bigger than Median
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