The following dataset represents the number of customers a new coffee shop has over the first 60 hours, sorted and arranged in rows of 5. What is the 30th percentile of the data? 3 3 4 5 6 6 10 15 18 18 19 20 22 22 24 25 29 29 29 33 33 34 34 39 40 44 44 44 46 50 50 51 51 52 55 55 57 57 58 58 62 66 70 72 72 72 75 75 75 78 79 83 85 85 88 88 91 97 100 100 _____ customers
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.
The following dataset represents the number of customers a new coffee shop has over the first 60 hours, sorted and arranged in rows of 5. What is the 30th percentile of the data?
3 3 4 5 6
6 10 15 18 18
19 20 22 22 24
25 29 29 29 33
33 34 34 39 40
44 44 44 46 50
50 51 51 52 55
55 57 57 58 58
62 66 70 72 72
72 75 75 75 78
79 83 85 85 88
88 91 97 100 100
_____ customers
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