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Consider the following statements:
1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.
2. Arithmetic mean > Median > Mode for a symmetric distribution.
Q. Which of the above statements is/are correct?
- a)1 only
- b)2 only
- c)Both 1 and 2
- d)Neither 1 nor 2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Consider the following statements:1. The algebraic sum of deviations o...
1. The sum of the deviations from the mean is zero.
2. In a perfectly symmetrical, non-skewed distribution the mean, median and mode are equal.
Since 1 is alone correct, so, option (a) is correct.
Most Upvoted Answer
Consider the following statements:1. The algebraic sum of deviations o...
Is always equal to the median of a set of values.3. The arithmetic mean is always less than or equal to the geometric mean of a set of positive values.4. The mode of a set of values is always greater than or equal to the arithmetic mean.
Which of the statements are true?
1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.
True. This is a property of the arithmetic mean. The deviations above the mean cancel out the deviations below the mean, resulting in a sum of zero.
2. Arithmetic mean is always equal to the median of a set of values.
False. The arithmetic mean and median are not always equal. The mean is calculated by summing all values and dividing by the number of values, while the median is the middle value when the values are arranged in ascending or descending order.
3. The arithmetic mean is always less than or equal to the geometric mean of a set of positive values.
False. The arithmetic mean and geometric mean are not always equal. In fact, the arithmetic mean is generally greater than or equal to the geometric mean. The equality holds only when all values in the set are equal.
4. The mode of a set of values is always greater than or equal to the arithmetic mean.
False. The mode can be greater than, equal to, or less than the arithmetic mean. The mode is the value(s) that occur most frequently in the set, while the arithmetic mean is the average of all values.
Which of the statements are true?
1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.
True. This is a property of the arithmetic mean. The deviations above the mean cancel out the deviations below the mean, resulting in a sum of zero.
2. Arithmetic mean is always equal to the median of a set of values.
False. The arithmetic mean and median are not always equal. The mean is calculated by summing all values and dividing by the number of values, while the median is the middle value when the values are arranged in ascending or descending order.
3. The arithmetic mean is always less than or equal to the geometric mean of a set of positive values.
False. The arithmetic mean and geometric mean are not always equal. In fact, the arithmetic mean is generally greater than or equal to the geometric mean. The equality holds only when all values in the set are equal.
4. The mode of a set of values is always greater than or equal to the arithmetic mean.
False. The mode can be greater than, equal to, or less than the arithmetic mean. The mode is the value(s) that occur most frequently in the set, while the arithmetic mean is the average of all values.
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Consider the following statements:1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.2. Arithmetic mean > Median > Mode for a symmetric distribution.Q. Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer?
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Consider the following statements:1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.2. Arithmetic mean > Median > Mode for a symmetric distribution.Q. Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider the following statements:1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.2. Arithmetic mean > Median > Mode for a symmetric distribution.Q. Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements:1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.2. Arithmetic mean > Median > Mode for a symmetric distribution.Q. Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer?.
Consider the following statements:1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.2. Arithmetic mean > Median > Mode for a symmetric distribution.Q. Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider the following statements:1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.2. Arithmetic mean > Median > Mode for a symmetric distribution.Q. Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements:1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.2. Arithmetic mean > Median > Mode for a symmetric distribution.Q. Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer?.
Solutions for Consider the following statements:1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.2. Arithmetic mean > Median > Mode for a symmetric distribution.Q. Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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