The following shows the frequency distribution of age of a random sample of 50 patients.:- Class limits True class limits Frequency (fi) Midpoint (Xm) fiXm fiXm2 20-29 5 30-39 10 40-49 12 50-59 9 60-69 8 70-79 4 80-89 2 Total 50 Complete the table Find the mean Find the median Find the variance Draw a histogram for the age 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.
The following shows the frequency distribution of age of a random sample of 50 patients.:-
|
Class limits |
True class limits |
Frequency (fi) |
Midpoint (Xm) |
fiXm |
fiXm2 |
|
20-29 |
|
5 |
|
|
|
|
30-39 |
|
10 |
|
|
|
|
40-49 |
|
12 |
|
|
|
|
50-59 |
|
9 |
|
|
|
|
60-69 |
|
8 |
|
|
|
|
70-79 |
|
4 |
|
|
|
|
80-89 |
|
2 |
|
|
|
|
Total |
|
50 |
|
|
|
- Complete the table
- Find the mean
- Find the
median - Find the variance
- Draw a histogram for the age data
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