Here is a frequency distribution table (FDT) for a small data set: data value frequency 51 7 52 6. 53 2 54 55 4 Find the following measures of central tendency. mean (Please show your answer to one decimal place.) %D median = (Please enter an exact answer.) mode (Please enter an exact answer.) %3D
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.
Introduction:
For a random variable X having k values, the ith observation of which is xi and frequency is fi, such that the total number of observations is n = Σ fi, the sample mean is as follows:
The median is the middle-most observation in the data set. In this case, as this is a frequency data, the median is the smallest value of x for which, the cumulative frequency exceeds n/2.
The mode is the most frequently-occurring observation in the data set.
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