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If sample data consist of weights measured in grams, then correctly complete the following sentences.
a. The unit for sample standard deviation would be
b. The unit for population standard deviation would be
c. The unit for sample variance would be
d. The unit for population variance would be


Sagot :

Using unit concepts, it is found that:

  • a) Grams.
  • b) Grams.
  • c) Grams squared.
  • d) Grams squared.

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  • For a data-set, the standard deviation has the same unit as the data-set, both for the sample and the population.
  • The variance has the unit squared, both for the sample and the population.
  • For example, if the data-set is in metres, the standard deviation will be in metres while the variance will be in squared metres.

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In this question, the data-set is in grams.

  • The standard deviation, both for the sample and the population, in items a and b, will be in grams.
  • The variance, both for the sample and the population, in items c and d, will be in grams squared.

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