Below are some frequency distribution data that were collected from a recent experiment that looks at musicians and their ability to improvise. Let’s say for the sake of this example that these are continuous data. X is the number of years playing piano, and f is the frequency reported. X f 7 6 6 5 5 5 4 5 3 1 2 2 1 0 0 2 a. Compute the median number of years that participants reported playing the piano without using a formula.
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.
Below are some frequency distribution data that were collected from a recent experiment that looks at musicians and their ability to improvise. Let’s say for the sake of this example that these are continuous data. X is the number of years playing piano, and f is the frequency reported.
X f
7 6
6 5
5 5
4 5
3 1
2 2
1 0
0 2
a. Compute the
Compute the cumulative frequency corresponding to each class by adding all the frequencies up to that specific class.
| X | F | Cumulative |
| 7 | 6 | 6 |
| 6 | 5 | 11 |
| 5 | 5 | 16 |
| 4 | 5 | 21 |
| 3 | 1 | 22 |
| 2 | 2 | 24 |
| 1 | 0 | 24 |
| 0 | 2 | 26 |
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