Title A distance was measured by pacing as 154 ft with a standard deviation of 2.5 ft. It was then... Description A distance was measured by pacing as 154 ft with a standard deviation of 2.5 ft. It was then observed as 153.86 ft with a steel tape having a standard deviation of 0.05 ft. Finally, it was measured as 153.89 ft with an EDM instrument with a standard deviation of 0.02 ft. What is the most probable value for the distance and its standard deviation?
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.
A distance was measured by pacing as 154 ft with a standard deviation of 2.5 ft. It was then observed as 153.86 ft with a steel tape having a standard deviation of 0.05 ft. Finally, it was measured as 153.89 ft with an EDM instrument with a standard deviation of 0.02 ft. What is the most probable value for the distance and its standard deviation?
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