In the last quarter of 2007, a group of 64 mutual funds had a mean return of 2.7% with a standard deviation of 4.1%. Consider the Normal model N(0.027,0.041) for the retums of these mutual funds. a) What value represents the 40th percentile of these returns? b) What value represents the 99th percentile? c) What's the IQR, or interquartile range, of the quarterly returns for this group of funds? a) The value that represents the 40th percentile is %. (Round to two decimal places as needed.) b) The value that represents the 99th percentile is %. (Round to two decimal places as needed.) c) The IQR is%. (Round to two decimal places as needed.)
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.
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