Answered

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Hi can you help me find the answer to this I’m not sure what it is

Hi Can You Help Me Find The Answer To This Im Not Sure What It Is class=

Sagot :

Answer

Between 39.13 s and 58.27 s

Explanation

Chebyshev's theorem states that the proportion of data that falls within k standard deviations of the mean is given as

Proportion = 1 - (1/k²)

For a proportion of 88.9%, we solve for k

0.889 = 1 - (1/k²)

(1/k²) = 1 - 0.889 = 0.111

k² = (1/0.111) = 9

Take the square root of both sides

k = 3

So, we need 3 standard deviations below the mean and above the mean

Mean = 48.7 s

Standard deviation = 3.19 s

Mean - 3(standard deviation) = 48.7 - 3(3.19) = 48.7 - 9.57 = 39.13

Mean + 3(standard deviation) = 48.7 + 3(3.19) = 48.7 + 9.57 = 58.27

Hope this Helps!!!

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