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relative standard deviation calculator

Question:The values are 3.03%, 2.89% and 3.22%, with the mean value being 3.04%

Answers:Let rsd=relative standard deviation, sd=the standard deviation and m=the mean. rsd=(sd*100)/m *or* rsd=(sd/m)*100 It's just the absolute value of the coefficient of variance expressed as a percentage.

Question:In an exam a score of 58 was 2 standard deviation below the mean and a score of 98 was 3 standard deviation above the mean. What was the mean score of the exam. The answer is 74. Can anyone solve this for me??

Answers:the difference between 98 and 58 is 40. The total deviations are 5 that is 3 more than and 2 less than mean. so 1 std deviation = 40/5 = 8 to find mean 58 + 2 std deviations = 58 + 16 = 74 u can also check it back with 98- 3 std devns

Question:If Y denotes a temperature recorded in degrees Fahrenheit, then (5/9)*(Y-32) is the corresponding temperature in degrees Celsius. If the standard deviation for a set of temperatures is 15.7 degrees Fahrenheit, what is the standard deviation of the equivalent Celsius temperature? Is the answer a simple conversion from 15.7 degrees Fahrenheit to degrees Celsius? -9.055556 degrees Celsius??

Answers:Very close. If you leave out the 32 term, you will get the correct answer. In this problem, you are interested only in the relative size of the units and not the offset of the freezing point. And, just because I'm an engineer and picky about such things, if your most accurate number has three decimal places, don't offer more in your answer. Calculators lie.

Question:When we were learning about standard deviation, my teacher explained, in response to a question, that we square and then take the square root to make sure the negatives and positives don't cancel each other out. If that is the only reason, why not just use absolute values? Is there another reason my teacher didn't know about or didn't want to tell us? Results are different if I use the absolute value method. So does anyone know what is the reason behind the squaring and root method?

Answers:as you said, it is done for not having negative no., one more reason for squaring and root method is that it increases the accuracy of the result i am not very sure though! good luck!