iven the following sample data in a grouped frequency distribution Data Frequency 50 - 54 1 55 - 59 2 60 - 64 5 65 - 69 11 70 - 74 17 75 - 79 13 80 - 84 10 85 - 89 7 90 - 94 1 (a) Find the mean (give you answer to one decimal) = What would the correct notation be? Enter mu, x-bar, s, or sigma. (b) Find the standard deviation (give your answer to two decimals) = What would the correct notation be? Enter mu, x-bar, s, or sigma.
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 the following sample data in a grouped frequency distribution
| Data | Frequency |
| 50 - 54 | 1 |
| 55 - 59 | 2 |
| 60 - 64 | 5 |
| 65 - 69 | 11 |
| 70 - 74 | 17 |
| 75 - 79 | 13 |
| 80 - 84 | 10 |
| 85 - 89 | 7 |
| 90 - 94 | 1 |
(a) Find the mean (give you answer to one decimal) =
What would the correct notation be? Enter mu, x-bar, s, or sigma.
(b) Find the standard deviation (give your answer to two decimals) =
What would the correct notation be? Enter mu, x-bar, s, or sigma.
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