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The mean of 10 observations is 5. If 2 is added to each observation and then multiplied by 3, then what will be the new mean?
- a)5
- b)7
- c)15
- d)21
Correct answer is option 'D'. Can you explain this answer?
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The mean of 10 observations is 5. If 2 is added to each observation an...
Mean of the observations:
The mean of the 10 observations is given as 5. This means that the sum of the 10 observations is 10 * 5 = 50.
Adding 2 to each observation:
If we add 2 to each observation, the sum of the observations will increase by 10 * 2 = 20. So, the new sum of the observations will be 50 + 20 = 70.
Multiplying each observation by 3:
If we multiply each observation by 3, the sum of the observations will be multiplied by 3 as well. So, the new sum of the observations after multiplying by 3 will be 70 * 3 = 210.
Calculating the new mean:
To find the new mean, we need to divide the new sum of the observations (210) by the number of observations. Since we have 10 observations, the new mean will be 210 / 10 = 21.
Therefore, the new mean after adding 2 to each observation and then multiplying by 3 is 21.
Conclusion:
The correct answer is option D) 21.
The mean of the 10 observations is given as 5. This means that the sum of the 10 observations is 10 * 5 = 50.
Adding 2 to each observation:
If we add 2 to each observation, the sum of the observations will increase by 10 * 2 = 20. So, the new sum of the observations will be 50 + 20 = 70.
Multiplying each observation by 3:
If we multiply each observation by 3, the sum of the observations will be multiplied by 3 as well. So, the new sum of the observations after multiplying by 3 will be 70 * 3 = 210.
Calculating the new mean:
To find the new mean, we need to divide the new sum of the observations (210) by the number of observations. Since we have 10 observations, the new mean will be 210 / 10 = 21.
Therefore, the new mean after adding 2 to each observation and then multiplying by 3 is 21.
Conclusion:
The correct answer is option D) 21.
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The mean of 10 observations is 5. If 2 is added to each observation and then multiplied by 3, then what will be the new mean?a)5b)7c)15d)21Correct answer is option 'D'. Can you explain this answer?
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The mean of 10 observations is 5. If 2 is added to each observation and then multiplied by 3, then what will be the new mean?a)5b)7c)15d)21Correct answer is option 'D'. 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 The mean of 10 observations is 5. If 2 is added to each observation and then multiplied by 3, then what will be the new mean?a)5b)7c)15d)21Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of 10 observations is 5. If 2 is added to each observation and then multiplied by 3, then what will be the new mean?a)5b)7c)15d)21Correct answer is option 'D'. Can you explain this answer?.
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