The mean of a standard normal curve is 0. This curve, which is a type of probability distribution known as the standard normal distribution, is symmetric and bell-shaped, centered around the mean. Additionally, the standard deviation of a standard normal curve is 1, which helps define the spread of the data around the mean.
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.
No, they are rarely the same.
To find the area under the standard normal curve between -1.33 and the mean (0), we can use the standard normal distribution table or a calculator. The area to the left of -1.33 is approximately 0.0918. Since the total area under the curve is 1 and the curve is symmetrical around the mean, the area between -1.33 and 0 is about 0.5 - 0.0918 = 0.4082. Thus, the area under the curve from -1.33 to the mean is approximately 0.4082.
No, the normal curve is not the meaning of the Normal distribution: it is one way of representing it.
Mean and Standard Deviation
It is a normal curve with mean = 0 and variance = 1.
Mean = 0 Standard Deviation = 1
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.
The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
The standard normal curve is symmetrical.
No, they are rarely the same.
the standard normal curve 2
The area under the standard normal curve is 1.
The mean must be 0 and the standard deviation must be 1. Use the formula: z = (x - mu)/sigma
To find the area under the standard normal curve between -1.33 and the mean (0), we can use the standard normal distribution table or a calculator. The area to the left of -1.33 is approximately 0.0918. Since the total area under the curve is 1 and the curve is symmetrical around the mean, the area between -1.33 and 0 is about 0.5 - 0.0918 = 0.4082. Thus, the area under the curve from -1.33 to the mean is approximately 0.4082.
No, the normal curve is not the meaning of the Normal distribution: it is one way of representing it.
Mean and Standard Deviation