QQuestionStatistics
QuestionStatistics
"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 ______."
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Answer
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Step 1
For sample standard deviation, the unit would be the same as the data. If the data are in grams, then the unit for sample standard deviation would be grams. This is because standard deviation is calculated from the deviations of each data point from the mean, and these deviations have the same units as the data. Unit for sample standard deviation: grams
Step 2
The population standard deviation also has the same unit as the data. So, if the data are in grams, then the unit for population standard deviation would be grams. Unit for population standard deviation: grams
Final Answer
a. The unit for sample standard deviation would be grams. b. The unit for population standard deviation would be grams. c. The unit for sample variance would be grams^2. d. The unit for population variance would be grams^2.
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