The following table represents the Frequency Distribution and Cumulative Distributions for this data set: 12, 13, 17, 18, 18, 24, 26, 27, 27, 30, 30, 35, 37, 41, 42, 43, 44, 46, 53, 58 Class Frequency Relative Frequency Cumulative Frequency 10 but less than 20 5 20 but less than 30 4 30 but less than 40 4 40 but less than 50 5 50 but less than 60 2 TOTAL What is the Relative Frequency for the class: 50 but less than 60? State you answer as a value with exactly two digits after the decimal; for example 0.30 or 0.35
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 table represents the Frequency Distribution and Cumulative Distributions for this data set: 12, 13, 17, 18, 18, 24, 26, 27, 27, 30, 30, 35, 37, 41, 42, 43, 44, 46, 53, 58
|
Class |
Frequency |
Relative Frequency |
Cumulative Frequency |
|
10 but less than 20 |
5 |
|
|
|
20 but less than 30 |
4 |
|
|
|
30 but less than 40 |
4 |
|
|
|
40 but less than 50 |
5 |
|
|
|
50 but less than 60 |
2 |
|
|
|
TOTAL |
|
|
|
What is the Relative Frequency for the class: 50 but less than 60?
State you answer as a value with exactly two digits after the decimal; for example 0.30 or 0.35
Solution:
The given table of data is
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