Rate of Return (%): 3.23, 6.14, 11.39, 15.99, 3.24, -3.86, -1.04, 8.49, 5.93, 6.96, 1.98, 3.13, -6.55, 7.27, 3.02, -1.34, 7.28, 6.27, -0.76 Find the 34th percentile of the data. 6.46
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 rate of return for the last 19 years of a certain segment of the stock market is given in the table.
(The data is also provided below the table as a comma-separated list to make it easier to copy.)
Market Segment Rate of
Return, 2002-2020
Year
Rate of Return (%)
2020
3.23
2019
6.14
2018
11.39
2017
15.99
2016
3.24
2015
-3.86
2014
-1.04
2013
8.49
2012
5.93
2011
6.96
2010
1.98
2009
3.13
2008
-6.55
2007
7.27
2006
3.02
2005
-1.34
2004
7.28
2003
6.27
2002
-0.76
Rate of Return (%):
3.23, 6.14, 11.39, 15.99, 3.24, -3.86, -1.04, 8.49, 5.93, 6.96, 1.98, 3.13, -6.55, 7.27, 3.02, -1.34, 7.28,
6.27, -0.76
Find the 34th percentile of the data.
6.46](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a921544-b376-4553-843b-f805ddd39512%2Fb3be168c-b692-478f-b4c3-4cba1850f47c%2Fsadu25p_processed.jpeg&w=3840&q=75)
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