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The standard deviation of 6, 8, 10, 12, 14 is
- a)1
- b)0
- c)2.83
- d)2.73
Correct answer is option 'C'. Can you explain this answer?
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The standard deviation of 6, 8, 10, 12, 14 isa)1b)0c)2.83d)2.73Correct...
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The standard deviation of 6, 8, 10, 12, 14 isa)1b)0c)2.83d)2.73Correct...
Calculation of Standard Deviation
To calculate the standard deviation of a set of numbers, we need to follow the below steps:
Step 1: Calculate the mean of the set of numbers.
Step 2: Calculate the difference between each number and the mean.
Step 3: Square each difference.
Step 4: Add up all the squares.
Step 5: Divide the total of the squares by the number of numbers in the set.
Step 6: Take the square root of the result from Step 5.
Applying the above steps to the given set of numbers, we get:
Step 1: Mean = (6+8+10+12+14)/5 = 10
Step 2: Differences from mean = (-4,-2,0,2,4)
Step 3: Squares of differences = (16,4,0,4,16)
Step 4: Total of squares = 40
Step 5: Divide total of squares by number of numbers in set = 40/5 = 8
Step 6: Take the square root of 8 = 2.83
Hence, the standard deviation of the given set of numbers (6, 8, 10, 12, 14) is 2.83.
Answer: Option C (2.83)
To calculate the standard deviation of a set of numbers, we need to follow the below steps:
Step 1: Calculate the mean of the set of numbers.
Step 2: Calculate the difference between each number and the mean.
Step 3: Square each difference.
Step 4: Add up all the squares.
Step 5: Divide the total of the squares by the number of numbers in the set.
Step 6: Take the square root of the result from Step 5.
Applying the above steps to the given set of numbers, we get:
Step 1: Mean = (6+8+10+12+14)/5 = 10
Step 2: Differences from mean = (-4,-2,0,2,4)
Step 3: Squares of differences = (16,4,0,4,16)
Step 4: Total of squares = 40
Step 5: Divide total of squares by number of numbers in set = 40/5 = 8
Step 6: Take the square root of 8 = 2.83
Hence, the standard deviation of the given set of numbers (6, 8, 10, 12, 14) is 2.83.
Answer: Option C (2.83)
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The standard deviation of 6, 8, 10, 12, 14 isa)1b)0c)2.83d)2.73Correct answer is option 'C'. Can you explain this answer?
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The standard deviation of 6, 8, 10, 12, 14 isa)1b)0c)2.83d)2.73Correct answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The standard deviation of 6, 8, 10, 12, 14 isa)1b)0c)2.83d)2.73Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The standard deviation of 6, 8, 10, 12, 14 isa)1b)0c)2.83d)2.73Correct answer is option 'C'. Can you explain this answer?.
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