Question

Given a set of data that is skewed-left, there is at least _____ % of the data within 2 standard deviations.

Answer 1

75

Explanation:

For non-normal distributions, we use Chebyshev's Theorem.

Chebyshev Theorem

The Chebyshev Theorem states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by
`100(1 - (1)/(k^(2)))`.

In this question:

Within 2 standard deviations of the mean, so 75%.