3. An angle a is observed using various types of theodolites and observing techniques. The results of these observations and their variances are iT = [121° 32' 14", 121° 33' 9", 121° 32' 46", 121° 32' 50"), C, = diagonal [12, 10, 5, 15] (units = arcseconds squared). What is the weighted mean value of the angles? What is the standard deviation of the weighted mean?
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.
![3. An angle a is observed using various types of theodolites and observing
techniques. The results of these observations and their variances are
T = [121° 32' 14", 121° 33' 9", 121° 32' 46", 121° 32' 50"],
C = diagonal [12, 10, 5, 15] (units = arcseconds squared).
What is the weighted mean value of the angles? What is the standard deviation of the
weighted mean?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27678615-da26-4b2e-9f44-7c687def04a0%2Fac6b53bb-6efd-4d4c-9fda-a356c636754d%2Fq0rdavf_processed.png&w=3840&q=75)
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