Session 2: Quantitative Methods: Basic Concepts Reading 7: Statistical Concepts and Market Returns
LOS c: Calculate and interpret relative frequencies and cumulative relative frequencies, given a frequency distribution.
Monthly returns for a set of small cap stocks are 1.3%, 0.8%, 0.5%, 3.4%, -3.5%, -1.2%, 1.8%, 2.1%, and 1.5%. An analyst constructs a frequency distribution and a frequency polygon using the following intervals: -4.0% to -2.0%, -2.0% to 0.0%, 0.0% to 2.0%, and 2.0% to 4.0%. Which of the following statements about these data presentations is least accurate?
A) |
A frequency polygon plots the midpoint of each interval on the horizontal axis and the absolute frequency of that interval on the vertical axis. | |
B) |
The relative frequency of the interval -2.0% to 0.0% equals the relative frequency of the interval 2.0% to 4.0%. | |
C) |
The absolute frequency of the interval 0.0% to 2.0% is 5. | |
When completed, the frequency distribution table should look as follows:
Frequency Distribution of Monthly Small Cap Stock Returns |
Interval |
Absolute Frequency |
Relative Frequency |
-4.0% to -2.0% |
1 |
11.1% |
-2.0% to 0.0% |
1 |
11.1% |
0.0% to 2.0% |
5 |
55.6% |
2.0% to 4.0% |
2 |
22.2% |
Total |
9 |
100.0% |
The relative frequency of the interval -2.0% to 0.0% does not equal the relative frequency of the interval 2.0% to 4.0%.
|