Exercise 2. Find the mode for each example below.
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.
Exercise 2. Find the
(a) The following data represent the number of O-ring failures on the shuttle Columbia for its 17 flights prior to its fatal flight:
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3
(b) The data of the test scores from above:
82, 77, 90, 71, 62, 68, 74, 84, 94, 88
(c) Hair color of ten people in line:
Brown, Blonde, Red, Brown, Brown,
Blonde, Brown, Blonde, Blonde, Red
Concept and definition:
The mode is the value with the highest frequency, that is, the mode is the value in the data-set which occurs the maximum number of the times.
(a)
In this case, the mode value will be 0, because 0 occurs the maximum number of the times in the given data set.
Mode : 0
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