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Q. Mean and Standard Deviation?
Ans.
The normal distribution is totally described if we know the average and standard deviation.
- the population mean of the distribution. Remember: this occurs at the peak of the distribution
- the population standard deviation of the distribution
Properties of Normal Distributions
The curve is symmetric about the mean, .The total area under the curve is 1.The mean, median and mode are equal. About 68% of the area is within 1 standard deviation ( ) of the mean. About 95% of the area is within 2 standard deviations ( ) of the mean.About 99.8% of the area is within 3 standard deviations ( ) of the mean.
The scores of students taking the ACT college entrance examination are normally distributed with a mean m = 20.1 and a standard deviation s = 5.8. A single student is selected a
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