By throwing a dart at a target, one get the following 15 set of numbers (input it as one list only on your calculator), showing the displacement from the center in cm: 2.1970, 3.5952, 1.6856, 0.9327, 0.2176, 13.1885, 1.7347, 1.9638, 2.3582, 1.1870, 0.0057, 1.4206, 1.2499, 1.9973, 1.8797 7. Using your calculator in statistic mode calculate the mean, error, standard deviation and uncertainty for this experiment (remember to write the units too).
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.
By throwing a dart at a target, one get the following 15 set of numbers (input it as one list
only on your calculator), showing the displacement from the center in cm:
2.1970, 3.5952, 1.6856, 0.9327, 0.2176, 13.1885, 1.7347, 1.9638,
2.3582, 1.1870, 0.0057, 1.4206, 1.2499, 1.9973, 1.8797
7. Using your calculator in statistic
Mean = 2.3753867cm
35.6308/15=2.3753867
Error = 1.318885372
1.64x3.114647/√15 = 1.318885372
Standard deviation = 3.1114647cm
√135.8144/15-1=√9.701027
Uncertainty =
2.3753867+or-1.318885372
1.056502228 or 3.694272072
How can one improve precision and accuracy, having only the above list?
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