The median and the mode of the following distribution are known to be 27 and 26 respectively. Class 0-10 10-20 20-30 30-40 40-50 Frequency 3 a 20 12 b Determine the values of a and . Compute the arithmetic mean and the standard deviation of the distribution.
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
|
Class |
0-10 |
10-20 |
20-30 |
30-40 |
40-50 |
|
Frequency |
3 |
a |
20 |
12 |
b |
- Determine the values of a and .
- Compute the arithmetic
mean and the standard deviation of the distribution.
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