Analyze the following data. Assume the true value of L (the length of a table) is 93.40cm. L(cm) 93.2 93.3 93.9 92.8 93.5 93.4 92.9 a) What are the mean and standard deviation of this data sample? b) What is the uncertainty of the mean? c) Report the measured value of L.
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.
Analyze the following data. Assume the true value of L (the length of a table) is 93.40cm.
| L(cm) | 93.2 | 93.3 | 93.9 | 92.8 | 93.5 | 93.4 | 92.9 |
a) What are the mean and standard deviation of this data sample?
b) What is the uncertainty of the mean?
c) Report the measured value of L.
d) What is the relative discrepancy between the measured value of L and its true value?
Suppose you have a second set of data for the same quantity that gives the following result: L = (93.90 ± 0.02) cm.
e) Is this value more or less precise than the first value?
f) Is this value more or less accurate than the first value?
g) Do the two values agree given their uncertainties?
h) What is the relative discrepancy between the two values?
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