Determine the median and mode from the histogram.
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.
| X | Frequency |
| 123 | 26 |
| 128 | 13 |
| 133 | 11 |
| 138 | 9 |
| 143 | 2 |
Solution:
| x (1) |
Frequency (f) (2) |
, A=133,h=5 |
f⋅d (4)=(2)×(3) |
cf (6) |
| 123 | 26 | -2 | -52 | 26 |
| 128 | 13 | -1 | -13 | 39 |
| 133=A | 11 | 0 | 0 | 50 |
| 138 | 9 | 1 | 9 | 59 |
| 143 | 2 | 2 | 4 | 61 |
| --- | --- | --- | --- | --- |
| ----- | n=61 | ----- | ∑f⋅d=-52 | ---- |
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