Question

given that the mean pulse rate is 67.3 beats per minute and a standard deviation of 10.3 bpm calculate at least what percentage of data will contain 87.9 bpm using chebyshev's theorem

Answer 1

We have : = 67.3, = 10.3

We need to find, the percentage of data will contain at least 87.9 bpm

For any data set, at least 1-1/k² % of data values lies within k standard deviations of the mean. k > 1

First we find value of k .

+ k * = 87.9

67.3 + k * 10.3 = 87.9

10.3 k = 87.9 - 67.3

10.3 k = 20.6

so, k = 2

Hence,

At least 75% of data will contain 87.9 bpm.