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Chebychev rule- 88.89%

if the distribution of the data is unknown, then according to the Chebychev rule, there will be at least 88.89% of the data within 2 standard deviations of the mean., True or False?

Solution

False

Explanation

75% data lies between the two standard deviations of the means, whereas 88.89% of data lies betwee three times standard deviations of the mean. The graph below exhibits this rule.

Chebychev rule
two Standard deviation cover 75%

Formula for Chebychev rule

Chebychev rule
two Standard deviation cover 75%

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