In small-scale survey, you ask people how many times they have been abroad on holiday over the course of the past five years. You obtain the following responses from 12 people: 7, 0, 7, 7, 7, 0, 10, 8, 5, 4, 0, 0. The mean of this data set is equal to 4.583 and the standard deviation is 3.679. Find the z-score for the smallest measurement in the data set. (Provide your answer as a number, rounded to 2 decimal places.)
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.
In small-scale survey, you ask people how many times they have been abroad on holiday over the course of the past five years. You obtain the following responses from 12 people: 7, 0, 7, 7, 7, 0, 10, 8, 5, 4, 0, 0. The mean of this data set is equal to 4.583 and the standard deviation is 3.679.
Find the z-score for the smallest measurement in the data set. (Provide your answer as a number, rounded to 2 decimal places.)
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