z = (x - mean of x)/ std dev of x I thought this website was pretty good: http://www.jrigol.com/Statistics/TandZStatistics.htm
Standard error A statistical measure of the dispersion of a set of values. The standard error provides an estimation of the extent to which the mean of a given set of scores drawn from a sample differs from the true mean score of the whole population. It should be applied only to interval-level measures. Standard deviation A measure of the dispersion of a set of data from its mean. The more spread apart the data is, the higher the deviation,is defined as follows: Standard error x sqrt(n) = Standard deviation Which means that Std Dev is bigger than Std err Also, Std Dev refers to a bigger sample, while Std err refers to a smaller sample
Standard deviation is the square root of the variance; so if the variance is 64, the std dev is 8.
Act. Hr x (Std. Rate - Act. Rate) actual hours times standart rate minus actual rate
-1.036 The probability that Z is equal to or less than -1.036 is 0.15, where Z is a random variable distributed by the standard normal distribution (mean = 0 and std dev = 1). You can look up the values in tables in any statistic book or use a spreadsheet program. I used Excel, and entered +norminv(0.15,0,1).
Variance is std dev squared. Therefore, if std dev = 12.4, variance = 12.4^2 = 153.76.
You can't estimate std dev by eye; use the range rule of thumb which is: std dev = range/4.
z = (x - mean of x)/ std dev of x I thought this website was pretty good: http://www.jrigol.com/Statistics/TandZStatistics.htm
You can calculate the mean, median, and std dev for discrete or continuous data. Each type has its own set of formulas.
I am not sure if this is correct, but here's my reasoning based on statistics: avg IQ is 100, and under a normalized bell curve that would include 95% of the population, so to move 3 std dev above or below would be: 1 std dev includes: 100-95 = 5. 5/2 = 2.5 so 2.5 + 95 => 97.5% 2 std dev includes: 100 - 97.5 = 2.5. 2.5/2 = 1.25 so 97.5 + 1.25 = 98.75 3 std dev includes: 100 - 98.75 = 1.25. 1.25/2 = .625 so 98.75 + .625 = 99.375 100 - 99.375 is percentage of population who are geniuses (more than 3 std dev above the mean) - about 0.6%, which is more than 1 in 200 people - That seems like a lot but unfortunately I'm not one of them :)
Common method is to find the mean and the standard deviation of the data set and then call anything that falls more than three standard deviations away from the mean an outlier. That is, x is an outlier if abs(x - mean) --------------- > 3 std dev This is usually called a z-test in statistics books, and the ratio abs(x-mean)/(std dev) is abbreviated z. Source: http://mathforum.org/library/drmath/view/52720.html
Variance = (std dev) ^2 = 36^2 = 1296.
Dev is just a Sikh surname which some of the Gurus had.
Standard error A statistical measure of the dispersion of a set of values. The standard error provides an estimation of the extent to which the mean of a given set of scores drawn from a sample differs from the true mean score of the whole population. It should be applied only to interval-level measures. Standard deviation A measure of the dispersion of a set of data from its mean. The more spread apart the data is, the higher the deviation,is defined as follows: Standard error x sqrt(n) = Standard deviation Which means that Std Dev is bigger than Std err Also, Std Dev refers to a bigger sample, while Std err refers to a smaller sample
(i) mean = np = (900)(0.1) =90 (ii) Std Dev = sqrt(npq) = sqrt((900)(0.1)(0.99)) = 9.4393
Putting the data into excel, the std dev for the sample is 6.20
mean = np = 20*0.5 = 10 Variance = npq = 20*0.5*0.5 = 5 Std dev = sqrt(npq) = sqrt(20*0.5*0.5) = 2.23