标题: Reading 7: Statistical Concepts and Market Returns-LOS f习题 [打印本页]
作者: bmaggie 时间: 2010-4-9 14:37 标题: [2010]Session 2:-Reading 7: Statistical Concepts and Market Returns-LOS f习题
Session 2: Quantitative Methods: Basic Concepts
Reading 7: Statistical Concepts and Market Returns
LOS f: Describe, calculate, and interpret quartiles, quintiles, deciles, and percentiles.
What are the median and the third quintile of the following data points, respectively?
9.2%, 10.1%, 11.5%, 11.9%, 12.2%, 12.8%, 13.1%, 13.6%, 13.9%, 14.2%, 14.8%, 14.9%, 15.4%
作者: bmaggie 时间: 2010-4-9 14:37
What are the median and the third quintile of the following data points, respectively?
9.2%, 10.1%, 11.5%, 11.9%, 12.2%, 12.8%, 13.1%, 13.6%, 13.9%, 14.2%, 14.8%, 14.9%, 15.4%
The median is the midpoint of the data points. In this case there are 13 data points and the midpoint is the 7th term.
The formula for determining quantiles is: Ly = (n + 1)(y) / (100). Here, we are looking for the third quintile (60% of the observations lie below) and the formula is: (14)(60) / (100) = 8.4. The third quintile falls between 13.6% and 13.9%, the 8th and 9th numbers from the left. Since L is not a whole number, we interpolate as: 0.136 + (0.40)(0.139 ? 0.136) = 0.1372, or 13.7%.
作者: bmaggie 时间: 2010-4-9 14:41
What does it mean to say that an observation is at the sixty-fifth percentile?
|
A) |
65% of all the observations are below that observation. | |
|
B) |
65% of all the observations are above that observation. | |
|
C) |
The observation falls within the 65th of 100 intervals. | |
作者: bmaggie 时间: 2010-4-9 14:41
What does it mean to say that an observation is at the sixty-fifth percentile?
|
A) |
65% of all the observations are below that observation. | |
|
B) |
65% of all the observations are above that observation. | |
|
C) |
The observation falls within the 65th of 100 intervals. | |
If the observation falls at the sixty-fifth percentile, 65% of all the observations fall below that observation.
作者: bmaggie 时间: 2010-4-9 14:41
Consider the following set of stock returns: 12%, 23%, 27%, 10%, 7%, 20%,15%. The third quartile is:
作者: bmaggie 时间: 2010-4-9 14:42
Consider the following set of stock returns: 12%, 23%, 27%, 10%, 7%, 20%,15%. The third quartile is:
The third quartile is calculated as: Ly = (7 + 1) (75/100) = 6. When we order the observations in ascending order: 7%, 10%, 12%, 15%, 20%, 23%, 27%, “23%” is the sixth observation from the left.
作者: bmaggie 时间: 2010-4-9 14:43
The following data points are observed returns.
4.2%, 6.8%, 7.0%, 10.9%, 11.6%, 14.4%, 17.0%, 19.0%, 22.5%, 28.1%
What return lies at the seventh decile (70% of returns lie below this return)?
作者: bmaggie 时间: 2010-4-9 14:43
The following data points are observed returns.
4.2%, 6.8%, 7.0%, 10.9%, 11.6%, 14.4%, 17.0%, 19.0%, 22.5%, 28.1%
What return lies at the seventh decile (70% of returns lie below this return)?
The formula for the seventh decile is Ly = (n + 1)(7 / 10) = 7.70 or between the seventh and eighth return from the left. The seventh return is 17%, while the eighth return is 19%. Interpolating, we find that the seventh decile is 17% + 0.7(19% – 17%) = 18.4%.
作者: zaestau 时间: 2010-4-26 18:22
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作者: kison 时间: 2010-8-24 21:04
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