The mean must be 0 and the standard deviation must be 1. Use the formula: z = (x - mu)/sigma
Yes. By definition. A normal distribution has a bell-shaped density curve described by its mean and standard deviation. The density curve is symmetrical(i.e., an exact reflection of form on opposite sides of a dividing line), and centered about (divided by) its mean, with its spread (width) determined by its standard deviation. Additionally, the mean, median, and mode of the distribution are equal and located at the peak (i.e., height of the curve).
It is impossible to answer the question because "the following" did not follow.
By the definition of standard deviation, 95.46% of the normal population will be within 2 SD of the mean. Explanation: The normal distribution of a population means it follows the "bell curve". The center of this bell curve is the population's mean value. One standard deviation defines two areas (on the left and right side of the central "mean" value) under the bell curve that each have 34.13% of the population. The next standard deviation adds two additional areas under the curve, each having 13.6% of the population. Adding the areas under the curves on both sides gives us (34.13% + 13.6%) x 2 = 95.46%
The area under the standard normal curve is 1.
Mean = 0 Standard Deviation = 1
1
nop its not
A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.
It is 15 points.
No, they are rarely the same.
The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
Because the standard deviation is one of the two parameters (the other being the mean) which define the Normal curve. The mean defines the location and the standard deviation defines its shape.
Smaller
The mean must be 0 and the standard deviation must be 1. Use the formula: z = (x - mu)/sigma
If the Z-Score corresponds to the standard deviation, then the distribution is "normal", or Gaussian.
Mean and Standard Deviation