a) Two data sets both have a mean of 50. One has a standard deviation of 2 and the other has a standard deviation of 10. Describe what is different about these two data sets. b) Since the mean and the median both describe the same characteristic, explain why they are not always the same. (no formulas) c) When and why would the mean be better to use than the median?
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.
given data:
2.1, 2.8, 3.7, 4.1, 4.6, 5.8, 6.3, 7.4, 8.2, 8.5, 9.6, 10.1, 10.3, 10.9, 11.0, 11.8, 12.4, 13.6, 13.9, 14.3, 14.6, 15.5, 15.9, 16.7, 16.9
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6a) Two data sets both have a
b) Since the mean and the median both describe the same characteristic, explain why they are not always the same. (no formulas)
c) When and why would the mean be better to use than the median?
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