Use the histogram below complete the statements. The mean of the data set is 45 and the standard deviation is 20. 10 20 30 40 50 60 70 80 90 100 110 1. If we want to estimate the probabilities of this graph, we should use 2. How much of the data can we estimate to be between x-values -15 and 105? There is % of the data is between -15 and 105. 3. How much data is between 2 standard deviations of the mean? There is % of the data between 2 standard deviation of the mean.
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.
Use the histogram below complete the statements. The
- If we want to estimate the probabilities of this graph, we should use: Chebyshev's Theorem or the
Empirical Rule . - How much of the data can we estimate to be between x-values -15 and 105? There is :approximately, at least, at most _____% of the data is between -15 and 105.
- How much data is between 2 standard deviations of the mean? There is: approximately or at least or at most _____% of the data between 2 standard deviation of the mean.
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