The table below shows the frequency of AP Biology scores for a high school class. AP Score Frequency 11 5 22 7 33 6 44 4 55 3 Find the mean and median. Mean = 1.67 and Median = 2 Mean = 2.72 and Median = 3 Mean = 2.72 and Median = 7 Mean = 4.53 and Median = 4 Mean = 4.53 and Median = 3
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.
The table below shows the frequency of AP Biology scores for a high school class.
| AP Score | Frequency |
| 11 | 5 |
| 22 | 7 |
| 33 | 6 |
| 44 | 4 |
| 55 | 3 |
Find the
- Mean = 1.67 and Median = 2
- Mean = 2.72 and Median = 3
- Mean = 2.72 and Median = 7
- Mean = 4.53 and Median = 4
- Mean = 4.53 and Median = 3
Step by step
Solved in 2 steps with 2 images
