What does a mean of 100 and standard deviation of 15 mean?
An IQ test score is calculated based on a norm group with an average score of 100 and a standard deviation of 15. The standard deviation is a measure of spread, in this case of IQ scores. A standard devation of 15 means 68% of the norm group has scored between 85 (100 – 15) and 115 (100 + 15).
What is the standard deviation with a mean of 100?
Thus, for a sample of N = 5 and population standard deviation of s = 100, the standard error of the mean is 100/2.236 or 44.721. We know that approximately 95% of scores in a normal distribution are within two standard deviations of the mean (1.96 standard deviations, to be more precise).
What is the standard deviation of the data 5 10 15?
Answer: s = 15.1383σ & 14.3614σ for sample & total population respectively for the dataset 5, 10, 15, 20, 25, 30, 35, 40, 45 and 50.
What is standard deviation of the data given below 10 28 13?
Given data: 10, 28, 13, 18, 29, 30, 22, 23, 25, 32. Hence, ∑xi = 10 + 28 + 13 + 18 + 29 + 30 + 22 + 23 + 25 + 32 = 230. Hence, Mean, μ = 230/10 = 23. Hence, the standard deviation is 7.
How do you interpret a normal distribution curve?
The area under the normal distribution curve represents probability and the total area under the curve sums to one. Most of the continuous data values in a normal distribution tend to cluster around the mean, and the further a value is from the mean, the less likely it is to occur.
What is standard deviation in IQ?
The mean, or average, IQ is 100. Standard deviations, in most cases, are 15 points. The majority of the population, 68.26%, falls within one standard deviation of the mean (IQ 85-115).
How do you calculate the normal curve?
– mean = median = mode – symmetry about the center – 50% of values less than the mean and 50% greater than the mean
What is an example of a normal curve?
Normal curves are also called bell shaped curves. A “true” normal curve is when all measures of central tendency occur at the highest point in the curve. The normal curve is an important, strong, reoccurring phenomenon in psychology. An example of a normal distribution would be a frequency distribution of people’s height.
What does normal curve mean?
The normal curve is called the gaussian distribution: the probability distribution of a continuous variable that is usually close to a real phenomenon. Do you like Audiobooks and Podcast? audibleplus Special offer! Start your free trial!! The use of a normal model allows us to assume that the observations derive from the sum of independent causes.