16. The percentiles Q25 and Q75 of a sample are called the lower and upper quartiles of the sample, and Q75 - Q25, which is a measure for the spread, is called the interquartile range. Find Q25, Q75, and Q75 - Q25 for the sample in Table 24.2.
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.
![Table 24.3
Strength of 50 Lots of Cotton (Ib required to break a skein)
114
118
86
107
87
94
82
81
120
126
98
89
98
84
123
114
83
94
106
96
110
83
118
83
111
102
107
96
96
74
91
81
103
80
109
71
96
130
104
86
91
86
129
121
96
96
127
94
102
87](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2df2f7e0-0a47-44b1-a1cc-760ff711924c%2F4e70c4ea-cb36-41c7-82f1-23e20b8b2673%2Fmss53u_processed.jpeg&w=3840&q=75)
![16. The percentiles Q25 and Qr5 of a sample are called the lower and upper quartiles
of the sample, and Q75
interquartile range. Find Q25, Q5, and Q75 - Q2, for the sample in Table 24.2.
Q25, which is a measure for the spread, is called the
25
15 ond 16 for the cample in Table 24 3
in Drohe](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2df2f7e0-0a47-44b1-a1cc-760ff711924c%2F4e70c4ea-cb36-41c7-82f1-23e20b8b2673%2Fd5u0sm_processed.jpeg&w=3840&q=75)
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