Question

question 23 according to chebyshevs rule, what percentage of data values falls within 2 standard deviations from the mean? a at least 50% of values b at least 75% of values c at least 68% of values d at least 90% of values

Explanation:

Step1: Recall Chebyshev's Rule formula

Chebyshev's Rule states that the proportion of data within \(k\) standard - deviations of the mean is at least \(1-\frac{1}{k^{2}}\), where \(k>1\).

Step2: Substitute \(k = 2\) into the formula

When \(k = 2\), we calculate \(1-\frac{1}{k^{2}}=1-\frac{1}{2^{2}}=1 - \frac{1}{4}=\frac{3}{4}=75\%\)

Answer:

C. At least 75% of values