Give two sets of five numbers that have the same mean but different standard deviations. Set 1: 4, 6, 7, 8, 15 Set 2: 3, 6, 7, 10, 14 Set 1: 2, 4, 6, 8, 10 Set 2: 3, 4, 5, 7, 11 Set 1: 3, 4, 6, 9, 13 Set 2: 2, 5, 7, 8, 13 Set 1: 4, 5, 7, 8, 11 Set 2: 3, 6, 7, 9, 10 Set 1: 2, 3, 7, 11, 12 Set 2: 5, 6, 7, 8, 9 Give two sets of five numbers that have the same standard deviation but different means. Set1: 2, 5, 6, 10, 12 Set2: 5, 6, 7, 10, 12 Set1: 2, 3, 5, 7, 8 Set2: 4, 6, 7, 11, 12 Set 1: 2, 3, 4, 5, 6 Set 2: 4, 5, 6, 7, 8 Set1: 2, 5, 7, 12, 14 Set2: 5, 6, 7, 8, 9 Set1: 4, 5, 6, 12, 13 Set2: 4, 5, 7, 9, 10
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Set 2: 3, 6, 7, 10, 14
Set 1: 2, 4, 6, 8, 10
Set 2: 3, 4, 5, 7, 11
Set 1: 3, 4, 6, 9, 13
Set 2: 2, 5, 7, 8, 13
Set 1: 4, 5, 7, 8, 11
Set 2: 3, 6, 7, 9, 10
Set 1: 2, 3, 7, 11, 12
Set 2: 5, 6, 7, 8, 9
Set2: 5, 6, 7, 10, 12
Set1: 2, 3, 5, 7, 8
Set2: 4, 6, 7, 11, 12
Set 1: 2, 3, 4, 5, 6
Set 2: 4, 5, 6, 7, 8
Set1: 2, 5, 7, 12, 14
Set2: 5, 6, 7, 8, 9
Set1: 4, 5, 6, 12, 13
Set2: 4, 5, 7, 9, 10
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