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The absolute value of the z-score.

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Q: What denotes the number of standard deviations a particular score is from the mean?

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Suspect you've made a mistake in your calculations.Looking at the Normal curve, the area under it between the mean and 3.09 standard deviations is [approx] 0.4990, ie the probability that the data could exceed 3.09 standard deviations from the mean is 2 x (0.5-0.4990) = 0.002 = 0.2% [using a half-tail table], ie it is quite unlikely that a data point is much further away from the mean than the tables' limit of 3.09.Beyond 3[.09] standard deviations away from the mean, the area under the curve changes very little in the first 4 dp, so [most] tables are going to not be of much help anyway - when 4 standard deviations away are reached, it is almost all the distribution and rounds to 1.So if you are looking at a point greater than 3 standard deviations away from the mean it is either a very unusual event that has caused it, or (more likely) you've made a mistake in your calculations.

Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, the way you wrote the number is the standard form for your example.

Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, the way you wrote the number is the standard form for your example.

Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, the way you wrote the number is the standard form for your example.

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You cannot have a standard deviation for 1 number.

You can't average means with standard deviations. What are you trying to do with the two sets of data?

z-score or standard score... tells you how many standard deviations away from the mean a particular number is in relations to all numbers in a population (or sample)

Standard deviations are measures of data distributions. Therefore, a single number cannot have meaningful standard deviation.

The Bank, itself does not have a standard deviation. The number of branches, the number of customers, lending, profits, CEO's pay are all variables which will have standard deviations but none of them are mentioned. It is not possible to guess which one you are interested in!

16.5 is 1 standard deviation from the mean. If you add the mean of 14 to the 1 standard deviation of 2.5, the result is 16.5.

Mean is the average, sum total divided by total number of data entries. Standard deviation is the square root of the sum total of the data values divided by the total number of data values. The standard normal distribution is a distribution that closely resembles a bell curve.

A z-score gives the distance (specifically number of standard deviations) from the mean so when you compare z-scores, it gives a direct comparison of how far from the mean the values are.

The account number is the number assigned to a particular account. A BSB is the number in front of the account number, in the Australian banking system. The BSB number denotes what 'B'ank', 'S'tate, and 'B'ranch the account is in.

z = (x - u)/(standard dev)The z score expresses the difference of the experimental result x from the most probable result u as a number of standard deviations. The probability can then be calculated from the cumulative standard normal distribution. ie sigma(z)

The amount of resistance that a fuel has to detonation. The higher the number, the less likely it is that a particular fuel will detonate in a particular engine. The number is as compared to a standard fuel (not necessarily gasoline)

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