A TIRE MANUFACTURER WANTS TO DETERMINE THE INNER DIAMETER OF A CERTAIN GRADE OF TIRE. IDEALLY, THE DIAMETER WOULD BE 570 MM. THE DATA ARE AS FOLLOWS: 572, 572, 573, 568, 569, 575, 565, 570. (A) FIND THE SAMPLE MEAN AND MEDIAN
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 TIRE MANUFACTURER WANTS TO DETERMINE THE INNER DIAMETER OF A CERTAIN GRADE OF TIRE. IDEALLY, THE DIAMETER WOULD BE 570 MM. THE DATA ARE AS FOLLOWS:
572, 572, 573, 568, 569, 575, 565, 570.
(A) FIND THE SAMPLE MEAN AND MEDIAN.
(B) FIND THE SAMPLE VARIANCE, STANDARD DEVIATION, AND RANGE.
(C) CONSTRUCT A RELATIVE FREQUENCY HISTOGRAM OF THE DATA.
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