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Which one of the following is incorrect ans. mean of a population is a parameter mean of a sample is a statistic standard deviation of a sample is a parameter standard deviation of population is a parameter

Question

Which one of the following is incorrect ans. mean of a population is a parameter

mean of a sample is a statistic

standard deviation of a sample is a parameter

standard deviation of population is a parameter

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Solution

The incorrect statement is: "standard deviation of a sample is a parameter"

Explanation:

  1. "Mean of a population is a parameter" - This is correct. A parameter is a value that describes a characteristic of an entire population. The mean of a population is a parameter because it is a measure that describes the population as a whole.

  2. "Mean of a sample is a statistic" - This is also correct. A statistic is a value that describes a characteristic of a sample. The mean of a sample is a statistic because it is a measure that describes the sample.

  3. "Standard deviation of a sample is a parameter" - This is incorrect. The standard deviation of a sample is a statistic, not a parameter. It is a measure that describes the variability or spread of data points in a sample, not the entire population.

  4. "Standard deviation of population is a parameter" - This is correct. The standard deviation of a population is a parameter because it is a measure that describes the variability or spread of data points in the entire population.

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Which one of the following is incorrect ans. mean of a population is a parameter mean of a sample is a statistic standard deviation of a sample is a parameter standard deviation of population is a parameter

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