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Which of the following statements is wrong? A- mean is rigidly defined b- mean is not affected due to sampling fluctuations C- mean has some mathematics properties D- all these?
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Which of the following statements is wrong? A- mean is rigidly defined...
Statement D is wrong: all these statements are correct.
Explanation:
Explanation:
- Mean is rigidly defined
- Mean is not affected due to sampling fluctuations
- Mean has some mathematics properties
The statement A is correct. The mean is a statistical measure that is rigidly defined. It is the sum of all the values in a dataset divided by the total number of values. The formula for calculating the mean is consistent and does not change.
The statement B is incorrect. The mean can be affected by sampling fluctuations. Sampling fluctuations occur when a sample is taken from a population, and the sample mean may not be exactly equal to the population mean. The larger the sample size, the less likely sampling fluctuations will affect the mean. However, in small samples, sampling fluctuations can cause the mean to deviate from the true population mean.
The statement C is correct. The mean has several mathematical properties that make it a useful measure of central tendency. Some of these properties include:
- Additivity: The mean is additive, meaning that the mean of a set of values can be calculated by adding up the individual values and dividing by the total number of values.
- Linearity: The mean is a linear function, which means that if you multiply each value in a dataset by a constant, the mean will also be multiplied by that constant.
- Symmetry: The mean is symmetric, meaning that if a dataset is symmetrically distributed, the mean will be located at the center of the distribution.
- Sensitivity to Outliers: The mean is sensitive to extreme values, or outliers, in a dataset. A single outlier can greatly impact the value of the mean.
Therefore, the correct answer is D: all these statements are correct, except for statement B, which is wrong.
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Which of the following statements is wrong? A- mean is rigidly defined b- mean is not affected due to sampling fluctuations C- mean has some mathematics properties D- all these?
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Which of the following statements is wrong? A- mean is rigidly defined b- mean is not affected due to sampling fluctuations C- mean has some mathematics properties D- all these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Which of the following statements is wrong? A- mean is rigidly defined b- mean is not affected due to sampling fluctuations C- mean has some mathematics properties D- all these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is wrong? A- mean is rigidly defined b- mean is not affected due to sampling fluctuations C- mean has some mathematics properties D- all these?.
Which of the following statements is wrong? A- mean is rigidly defined b- mean is not affected due to sampling fluctuations C- mean has some mathematics properties D- all these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Which of the following statements is wrong? A- mean is rigidly defined b- mean is not affected due to sampling fluctuations C- mean has some mathematics properties D- all these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is wrong? A- mean is rigidly defined b- mean is not affected due to sampling fluctuations C- mean has some mathematics properties D- all these?.
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