Q: Calculate a deviation score

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we calculate standard deviation to find the avg of the difference of all values from mean.,

score of 92

No. The standard deviation is not exactly a value but rather how far a score deviates from the mean.

1.50

There is not enough information to answer your question. To determine a Z-Score, the mean and standard deviation are also required.

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A z-score cannot help calculate standard deviation. In fact the very point of z-scores is to remove any contribution from the mean or standard deviation.

You need the mean and standard deviation in order to calculate the z-score. Neither are given.

z score = (test score - mean score)/SD z score = (87-81.1)/11.06z score = 5.9/11.06z score = .533You can use a z-score chart to calculate the probability from there.

If it is possible to assume normality, simply convert the desired score to a z-score, and look up the probability for that.

we calculate standard deviation to find the avg of the difference of all values from mean.,

You calculate the mean.For each observation, you calculate its deviation from the mean.Convert the deviation to absolute deviation.Calculate the mean of these absolute deviations.

score of 92

If a normally distributed random variable X has mean m and standard deviation s, then z = (X - m)/s

The mean average deviation is the same as the mean deviation (or the average deviation) and they are, by definition, 0.

T-score is used when you don't have the population standard deviation and must use the sample standard deviation as a substitute.

zero

deviation 15 is better