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?
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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%.
How is the relative frequency of an interval computed?
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The relative frequency is the percentage of total observations falling within each interval. It is found by taking the frequency of the interval and dividing that number by the sum of all frequencies.
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