CA Foundation Exam > CA Foundation Questions > The standard deviation of, 10, 16, 10, 16, 10...
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The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 is
- a)4
- b)6
- c)3
- d)0
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 isa)4b)6c)3d...
The Standard Deviation is a measure of how spread out numbers are. To calculate the standard deviation of those numbers, we just need to do the following steps.
1. Find the value of Mean of the given numbers(the simple average of the numbers)
2. Then for each number: subtract the Mean and square the result
3. Then work out the mean of those squared differences.
4. Take the square root of the resulted value and we are done.
By converting the above statements into a formula we get
The formula for finding standard deviation(σ) is
1. Find the value of Mean of the given numbers(the simple average of the numbers)
2. Then for each number: subtract the Mean and square the result
3. Then work out the mean of those squared differences.
4. Take the square root of the resulted value and we are done.
By converting the above statements into a formula we get
The formula for finding standard deviation(σ) is
= 3.
Therefore the standard deviation of the given numbers 10, 16, 10, 16, 10, 10, 16, 16 is 3.
Therefore the standard deviation of the given numbers 10, 16, 10, 16, 10, 10, 16, 16 is 3.
Most Upvoted Answer
The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 isa)4b)6c)3d...
Given data: 10, 16, 10, 16, 10, 10, 16, 16
To find: Standard deviation
Step-by-step solution:
1. Calculate the mean of the given data
Mean = (Sum of all values) / (Total number of values)
= (10+16+10+16+10+10+16+16) / 8
= 98 / 8
= 12.25
2. Subtract the mean from each value to get deviations
Deviations: -2.25, 3.75, -2.25, 3.75, -2.25, -2.25, 3.75, 3.75
3. Square each deviation
Squared deviations: 5.0625, 14.0625, 5.0625, 14.0625, 5.0625, 5.0625, 14.0625, 14.0625
4. Find the mean of the squared deviations
Mean = (Sum of squared deviations) / (Total number of values)
= (5.0625 + 14.0625 + 5.0625 + 14.0625 + 5.0625 + 5.0625 + 14.0625 + 14.0625) / 8
= 67.5 / 8
= 8.4375
5. Take the square root of the mean to get the standard deviation
Standard deviation = √(Mean of squared deviations)
= √8.4375
= 2.9068 ≈ 3
Therefore, the standard deviation of the given data is 3.
Hence, the correct answer is option 'C'.
To find: Standard deviation
Step-by-step solution:
1. Calculate the mean of the given data
Mean = (Sum of all values) / (Total number of values)
= (10+16+10+16+10+10+16+16) / 8
= 98 / 8
= 12.25
2. Subtract the mean from each value to get deviations
Deviations: -2.25, 3.75, -2.25, 3.75, -2.25, -2.25, 3.75, 3.75
3. Square each deviation
Squared deviations: 5.0625, 14.0625, 5.0625, 14.0625, 5.0625, 5.0625, 14.0625, 14.0625
4. Find the mean of the squared deviations
Mean = (Sum of squared deviations) / (Total number of values)
= (5.0625 + 14.0625 + 5.0625 + 14.0625 + 5.0625 + 5.0625 + 14.0625 + 14.0625) / 8
= 67.5 / 8
= 8.4375
5. Take the square root of the mean to get the standard deviation
Standard deviation = √(Mean of squared deviations)
= √8.4375
= 2.9068 ≈ 3
Therefore, the standard deviation of the given data is 3.
Hence, the correct answer is option 'C'.
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The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 isa)4b)6c)3d)0Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 isa)4b)6c)3d)0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 isa)4b)6c)3d)0Correct answer is option 'C'. Can you explain this answer?.
The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 isa)4b)6c)3d)0Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 isa)4b)6c)3d)0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 isa)4b)6c)3d)0Correct answer is option 'C'. Can you explain this answer?.
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