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Consider the following statements:
1. If 10 is added to each entry on a list, then the average increases by 10.
2. If 10 is added to each entry on a list, then the standard deviation increases by 10.
3. If each entry on a list is doubled, then the average doubles.
Which of the above statement are correct?
1. If 10 is added to each entry on a list, then the average increases by 10.
2. If 10 is added to each entry on a list, then the standard deviation increases by 10.
3. If each entry on a list is doubled, then the average doubles.
Which of the above statement are correct?
- a)1, 2 and 3
- b)1 and 2 only
- c)1 and 3 only
- d)2 and 3 only
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Consider the following statements:1. If 10 is added to each entry on a...
1. When same number is added to each number in a group, then the average is also increased by that number.
2. Similar to point 1, when each number is doubled in a group, the average is also doubled.
3. But standard deviation is used to represent the variation of the set of data from its mean value. So, adding the same number in each value does not change the value of standard deviation.
Thus, option (c) is correct.
2. Similar to point 1, when each number is doubled in a group, the average is also doubled.
3. But standard deviation is used to represent the variation of the set of data from its mean value. So, adding the same number in each value does not change the value of standard deviation.
Thus, option (c) is correct.
Most Upvoted Answer
Consider the following statements:1. If 10 is added to each entry on a...
Statement 1: If 10 is added to each entry on a list, then the average increases by 10.
Adding 10 to each entry on a list does not necessarily mean that the average will increase by 10. The increase in the average would depend on the number of entries in the list and the values of those entries. Therefore, statement 1 is incorrect.
Statement 2: If 10 is added to each entry on a list, then the standard deviation increases by 10.
Adding a constant value to each entry on a list does not affect the standard deviation. The standard deviation measures the dispersion of the values in a list, and adding a constant value does not change the relative distances between the values. Therefore, statement 2 is incorrect.
Statement 3: If each entry on a list is doubled, then the average doubles.
When each entry on a list is doubled, the sum of the values also doubles. Since the average is calculated by dividing the sum of the values by the number of entries, if the sum doubles, the average will also double. Therefore, statement 3 is correct.
Therefore, the correct answer is option C: 1 and 3 only.
Adding 10 to each entry on a list does not necessarily mean that the average will increase by 10. The increase in the average would depend on the number of entries in the list and the values of those entries. Therefore, statement 1 is incorrect.
Statement 2: If 10 is added to each entry on a list, then the standard deviation increases by 10.
Adding a constant value to each entry on a list does not affect the standard deviation. The standard deviation measures the dispersion of the values in a list, and adding a constant value does not change the relative distances between the values. Therefore, statement 2 is incorrect.
Statement 3: If each entry on a list is doubled, then the average doubles.
When each entry on a list is doubled, the sum of the values also doubles. Since the average is calculated by dividing the sum of the values by the number of entries, if the sum doubles, the average will also double. Therefore, statement 3 is correct.
Therefore, the correct answer is option C: 1 and 3 only.
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Consider the following statements:1. If 10 is added to each entry on a list, then the average increases by 10.2. If 10 is added to each entry on a list, then the standard deviation increases by 10.3. If each entry on a list is doubled, then the average doubles.Which of the above statement are correct?a)1, 2 and 3b)1 and 2 onlyc)1 and 3 onlyd)2 and 3 onlyCorrect answer is option 'C'. Can you explain this answer?
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Consider the following statements:1. If 10 is added to each entry on a list, then the average increases by 10.2. If 10 is added to each entry on a list, then the standard deviation increases by 10.3. If each entry on a list is doubled, then the average doubles.Which of the above statement are correct?a)1, 2 and 3b)1 and 2 onlyc)1 and 3 onlyd)2 and 3 onlyCorrect answer is option 'C'. 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. If 10 is added to each entry on a list, then the average increases by 10.2. If 10 is added to each entry on a list, then the standard deviation increases by 10.3. If each entry on a list is doubled, then the average doubles.Which of the above statement are correct?a)1, 2 and 3b)1 and 2 onlyc)1 and 3 onlyd)2 and 3 onlyCorrect answer is option 'C'. 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. If 10 is added to each entry on a list, then the average increases by 10.2. If 10 is added to each entry on a list, then the standard deviation increases by 10.3. If each entry on a list is doubled, then the average doubles.Which of the above statement are correct?a)1, 2 and 3b)1 and 2 onlyc)1 and 3 onlyd)2 and 3 onlyCorrect answer is option 'C'. Can you explain this answer?.
Consider the following statements:1. If 10 is added to each entry on a list, then the average increases by 10.2. If 10 is added to each entry on a list, then the standard deviation increases by 10.3. If each entry on a list is doubled, then the average doubles.Which of the above statement are correct?a)1, 2 and 3b)1 and 2 onlyc)1 and 3 onlyd)2 and 3 onlyCorrect answer is option 'C'. 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. If 10 is added to each entry on a list, then the average increases by 10.2. If 10 is added to each entry on a list, then the standard deviation increases by 10.3. If each entry on a list is doubled, then the average doubles.Which of the above statement are correct?a)1, 2 and 3b)1 and 2 onlyc)1 and 3 onlyd)2 and 3 onlyCorrect answer is option 'C'. 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. If 10 is added to each entry on a list, then the average increases by 10.2. If 10 is added to each entry on a list, then the standard deviation increases by 10.3. If each entry on a list is doubled, then the average doubles.Which of the above statement are correct?a)1, 2 and 3b)1 and 2 onlyc)1 and 3 onlyd)2 and 3 onlyCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Consider the following statements:1. If 10 is added to each entry on a list, then the average increases by 10.2. If 10 is added to each entry on a list, then the standard deviation increases by 10.3. If each entry on a list is doubled, then the average doubles.Which of the above statement are correct?a)1, 2 and 3b)1 and 2 onlyc)1 and 3 onlyd)2 and 3 onlyCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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