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Consider a sample with a mean of 60 and a standard deviation of 6. Use Chebyshev's...

Consider a sample with a mean of 60 and a standard deviation of 6. Use Chebyshev's theorem to determine the percentage of the data within each of the following ranges (to the nearest whole number).

  1. 50 to 70, at least %
  2. 45 to 75, at least %
  3. 52 to 68, at least %
  4. 47 to 73, at least %
  5. 44 to 76, at least %
Math   Statistics-And-Probability   
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Answer #1

Solution:-

Mean = 60, S.D = 6

a) The percentage of the data within the given range is 64%.

b) The percentage of the data within the given range is 84%.

c) The percentage of the data within the given range is 43%.

d) The percentage of the data within the given range is 78%.

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e) The percentage of the data within the given range is 85%.

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