A quality control supervisor has taken a sample of 16 bolts from the output of a thread-cutting machine and tested their tensile strengths. The results in tons of force required for brekage, are as follows: 2.20 1.95 2.15 2.08 1.85 1.92 2.23 2.19 1.98 2.07 2.24 2.31 1.96 2.30 2.27 1.89 (a) Determine the mean, median, range and midrange. (b) Calculate the mean absolute deviation (c) Calculate the standard deviation and variance. (d) Calculate the coefficient of skewness. (e) what is the i. 75th percentile ii. 68th percentile and 6th decile.
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 quality control supervisor has taken a sample of 16 bolts from the output of a thread-cutting machine and tested their tensile strengths. The results in tons of force required for brekage, are as follows: 2.20 1.95 2.15 2.08 1.85 1.92 2.23 2.19 1.98 2.07 2.24 2.31 1.96 2.30 2.27 1.89 (a) Determine the mean,
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