The table below shows the numbers of bushels of barley cultivated per acre for 12 one-acre plots of land for two different strains of barley, PHT-34 and CBX-21. PHT-34 CBX-21 43 55 48 46 47 43 37 45 47 45 44 50 50 48 45 60 45 52 46 50 44 48 43 51 Using the same scale, draw a box-and-whisker plot for each of the two data sets, placing the PHT-34 plot below the CBX-21 plot. Write a valid conclusion based on the data.
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.
| PHT-34 | CBX-21 |
|---|---|
| 43 | 55 |
| 48 | 46 |
| 47 | 43 |
| 37 | 45 |
| 47 | 45 |
| 44 | 50 |
| 50 | 48 |
| 45 | 60 |
| 45 | 52 |
| 46 | 50 |
| 44 | 48 |
| 43 | 51 |
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