The Standard Normal Distribution has mean equal to
0
The Standard Normal Distribution is a special case of the normal distribution that has a mean equal to 0 and a standard deviation equal to 1.
Any normal distribution with mean μ and standard deviation σ can be converted into the standard normal distribution using the z-score transformation, z = (x − μ)/σ, which recenters the data around zero and rescales it to a standard deviation of 1.
This standardization allows different normal distributions to be compared on a common scale, and it is the reason the standard normal curve is perfectly symmetric about zero, with equal area on either side.
Hence, the mean of the standard normal distribution is 0, not 1, 2, or 1/2.
Important Questions from Statistics
The mean and variance of five observations are 14 and 13.2 respectively. Three of the five observations are 11, 16 and 20. What are the other two observations ?
A die is thrown 10 times and obtained the following outputs :
1, 2, 1, 1, 2, 1, 4, 6, 5, 4
What will be the mode of data so obtained ?
Consider the following frequency distribution :
x 1 2 3 5 f 4 6 9 7 What is the value of median of the distribution ?
For data -1, 1, 4, 3, 8, 12, 17, 19, 9, 11; if M is the median of first 5 observations and N is the median of last five observations, then what is the value of 4M - N ?
Let P, Q, R represent mean, median and mode. If for some distribution \(5 P=4 Q=\frac{R}{2}\) then what is \(\frac{P+Q}{2 P+0.7 R}\) equal to ?
