Thirty automobiles were tested for fuel efficiency (in miles per gallon). This frequency distribution was obtained: Fuel efficiency (mpg) Frequency 7.5 to under 12.5 2 12.5 to under 17.5 4 17.5 to under 22.5 17 22.5 to under 27.5 4 27.5 to under 32.5 3 Find the mean, median, and mode. Mean mpg:
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.
| Fuel efficiency (mpg) | Frequency |
|---|---|
| 7.5 to under 12.5 | 2 |
| 12.5 to under 17.5 | 4 |
| 17.5 to under 22.5 | 17 |
| 22.5 to under 27.5 | 4 |
| 27.5 to under 32.5 | 3 |
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