Cebu Tech Corporation manufactures tablet screens. The following data give the numbers of tablet screens produced at the company for a sample of 30 days. 24 32 27 23 33 33 29 25 23 36 26 26 31 20 27 33 27 23 28 29 31 35 34 22 37 28 23 35 31 43 a) Calculate the values of the three quartiles and the interquartile range. Where does the value of 31 lie in relation to these quartiles? b) Find the (approximate) value of the 65th percentile. Give a brief interpretation of this percentile. c) For what percentage of the days was the number of tablet screens produced 32 or higher? Answer by finding the percentile rank of 32
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.
Cebu Tech Corporation manufactures tablet screens. The following data
give the numbers of tablet screens produced at the company for a sample of 30
days.
24 32 27 23 33 33 29 25 23 36
26 26 31 20 27 33 27 23 28 29
31 35 34 22 37 28 23 35 31 43
a) Calculate the values of the three
range
b) Find the (approximate) value of the 65th percentile. Give a brief
interpretation of this percentile.
c) For what percentage of the days was the number of tablet screens
produced 32 or higher? Answer by finding the percentile rank of 32.
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