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.
Derby collects samples of insects in the forest and in a marsh to count the number of insects in each sample and then releases the insects. The number of insects in each sample from the two locations is provided below.
| Forest | 1515 | 1313 | 1414 | 99 | 1616 | 1111 | 1515 | 1414 | 1515 | 1414 |
|---|---|---|---|---|---|---|---|---|---|---|
| Marsh | 1717 | 1414 | 1515 | 1717 | 1616 | 1818 | 1717 | 1919 | 1313 | 1616 |
What is the median and the interquartile range for each of the two locations? Round to one decimal place.
The median number of insects in the forest samples is , and the interquartile range is .
The median number of insects in the marsh samples is , and the interquartile range is .
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