Question

The mean of a data set is 750 with a standard deviation of 25. According to Chebyshev's Rule, ________________% of data falls between 650 and 850. Enter your answer to two decimal places.

Answer 1

$\frac{650-750}{25}=\frac{-100}{25}=-4$

and $\frac{850-750}{25}=\frac{100}{25}=4$

Therefore $k=4$

According to Chebyshev's Rule , required percentage is $1-\frac{1}{k^{2}}=1-\frac{1}{4^{2}}=0.9375=93.75\%$