11. Understanding the different measures The mean, median, and mode are all measures of central tendency. The mean is usually the preferred measure of central tendency, but there are specific situations in which it is impossible to compute a mean or in which the mean is not particularly representative of the distribution. Which of the following statements about the mean are true? Check all that apply. O It is commonly referred to as the arithmetic averàge. O It is easily influenced by extreme scores. O It always corresponds to an actual score in the data. O It is algebraically defined (that is, there is an equation you can use to calculate its value). Which of the following statements about the median are true? Check all that apply. O It can be found for an open-ended distribution. O It is appropriate for ordinal data. It can be found when there are undetermined scores. O It is not easily affected by extreme scores.
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.
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