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1 standard deviation percentile

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From Wikipedia

Percentile - Wikipedia, the free encyclopedia

The 25th percentile is also known as the first quartile (Q1); the 50th .... The dark blue zone represents one standard deviation on either side of the mean, ...


From Yahoo Answers

Question:

Answers:For z = -1/2 the percentile is 31. For z = -1 the percentile is 16. For z = 1/2 the percentile is 69. For z = 1 the percentile is 84.

Question:using a distribution with a mean of 100 and a standard deviation of 15. 1.What is the percentile score of a score of 112? 2.What is the percentile score of a score of 82?

Answers:Assuming it's a normal distribution... 112 is 12/15 = 0.8 standard deviations above the mean. So look up 0.8 on a normal distribution table. It'll be about 0.75. Which would mean 0.75 x 100 = 75 i.e. the 75th percentile. 82 is 18/15 = 1.2 standard deviations below the mean. So look up 1.2 on a normal distribution table (it'll be about 0.85), and then subtract that number from 1. (Very important to do this subtraction, because you are finding a number BELOW the mean). That will give you about 0.15. Multiply by 100 to get 15th percentile. Remember to replace the numbers I've given, with the actual numbers from the normal distribution table.

Question:

Answers:P(z< 1.90)=0.971283 97th percentile

Question:The mean is 49.9, the standard deviation is 47. The number is 120, i need to know what percentile it is in. Its in the 1.5 standard deviation thing, idk if that helps. Please i really need this!

Answers:is the 1.5 the mu?...cause if it is its just the mean-mu over standard diviation divided by square root of n....hope this helps

From Youtube

Mean and Standard Deviation :Calculating and interpreting the mean and standard deviation.

How To Calculate Standard Deviation :Expand the description and view the text of the steps for this how-to video. Check out Howcast for other do-it-yourself videos from stevenkittinger and more videos in the Mathematics Tests category. You can contribute too! Create your own DIY guide at www.howcast.com or produce your own Howcast spots with the Howcast Filmmakers Program at www.howcast.com Standard deviation quantifies how diverse the values of your data set are, and is useful in determining how different your numbers are from each other. To complete this How-To you will need: Data A calculator Step 1: Collect your data Collect your data to create the data set from which you wish to calculate the standard deviation. Step 2: Calculate the mean of the data set Calculate the average, or mean, of the data set by adding all of the numbers of the set and dividing the total by the number of items in your set. Tip: Calculate the mean of a set consisting of two, five, six, and seven by adding two plus five plus six plus seven, and then dividing by four -- the number of items in your set. The mean is five. Step 3: Subtract the mean from each number; square result Subtract the mean from the first number in your data set, and square the differences. Continue with each number in your data set. Tip: With the set consisting of two, five, six, and seven, calculate two minus five and get negative three. Square that for a total of nine. Continue with the other numbers in the set. Step 4: Add squares together; divide by ...