Letitia alleges that, if the means and standard deviations of two different lists of numbers are the same, then all of
the numbers in the two lists are the same. Letitia correct? Explain your answer

Respuesta :

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Different List of values having the same mean and standard deviation may not contain the same values.

  • Mean gives the average value of the numbers in a list
  • Standard deviation measures the distance of the values from the average value of the distribution.
  • List of values with the same mean and standard deviation may not contain the same values.

For instance :

List A : [-1, -1, 0, 2]

Using a calculator ;

  • Mean = 0
  • Standard deviation = 1.1414

List B : [-2, 0, 1, 1]

Using a calculator ;

Mean = 0

Standard deviation = 1.1414

The mean and standard deviation of each list are the same, however, the values in each list are different.

Hence, Letitia is incorrect.

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