It is 95%
The standard deviation is a measure of spread in a distribution, and 1.66 sd is a measure of a multiple of that interval. What that represents, in percentage terms, depends on the distribution, and whether the 1.66 sd is on one side of the mean or both. In view of the missing information, there can be no simple answer.
34.1% with the normal distribution.
The standard deviation in a standard normal distribution is 1.
The standard deviation in a standard normal distribution is 1.
No.
It is a measure of the spread of the distribution. The greater the standard deviation the more variety there is in the observations.
It is a measure of the spread of the distribution: whether all the observations are clustered around a central measure or if they are spread out.
The standard deviation is a measure of spread in a distribution, and 1.66 sd is a measure of a multiple of that interval. What that represents, in percentage terms, depends on the distribution, and whether the 1.66 sd is on one side of the mean or both. In view of the missing information, there can be no simple answer.
34.1% with the normal distribution.
The standard deviation in a standard normal distribution is 1.
use this link http://www.ltcconline.net/greenl/Courses/201/probdist/zScore.htm Say you start with 1000 observations from a standard normal distribution. Then the mean is 0 and the standard deviation is 1, ignoring sample error. If you multiply every observation by Beta and add Alpha, then the new results will have a mean of Alpha and a standard deviation of Beta. Or, do the reverse. Start with a normal distribution with mean Alpha and standard deviation Beta. Subtract Alpha from all observations and divide by Beta and you wind up with the standard normal distribution.
The interval of 1.5 sd either side of the mean contains 87 of the values of a Gaussian distribution. For other distribution the answers will be different.
The standard deviation in a standard normal distribution is 1.
The total deviation from the mean for ANY distribution is always zero.
If there is zero deviation all the observations are 50.
The answer depends on greater standard deviation that WHAT!
If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.