What are the steps for finding the relative frequency of sample means above or below a specified mean?
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.
Frequency distribution:
The number of times each value of X repeats is the frequency of that particular event. Frequencies will be calculated by using the tally mark.
Discrete random variable:
If the variable X takes finite or countable values, then the variable X is said to be discrete.
Conditions to construct a discrete frequency distribution:
- The number times a specified value of X repeats is the frequency of that particular value of
- The sum of frequencies of all the values of X must be equal to total number of observations.
- The probabilities of all the values of the variable X must lie between 0 and 1.
Relative frequency:
Relative frequency distribution is obtained by dividing the respective frequencies of each class by the total number of observations in the study.
The general formula to obtain relative frequency is given below:
Relative frequency = (frequency)/(total frequency).
Using the formula, the relative frequencies for certain number of class has to obtained. Then the class with greatest relative frequency and least relative frequency will identified from the obtained relative frequencies.
The class with the greatest, and the class with the least, relative frequency is obtained using the formula Relative frequency = (frequency)/(total frequency).
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