ECON 1000 Lecture Notes - Lecture 11: Frequency Distribution
28 Oct 2017
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The derivation of sturges" rule is not terribly complex, but not suitable for an introductory statistics course. 2 one statement of the rule is to choose c such that: This implies that every time the sample size doubles, we add one extra class to the frequency distribution. Taking natural logs of both sides of (1) yields: The text gives us the formula: c 1 = ln(n)/ln(2) c = 1 + ln(n)/ln(2) c = 1 + 3. 3[log10(n)] (2) (3) These are equivalent, but the textbook"s version (3) is not as convenient for many as many calculators provide natural logarithms but not logarithms base 10. Dividing this by ln(2) = 0. 693147 gives us 3. 321928, 3. 322 rounded to three decimal places. The curriculum for high school mathematics teaches pascal"s triangle extensively, as early as grade 9. The sums across the rows of pascal"s triangle correspond to the powers of 2. Therefore, the sum of each row is double the previous row"s sum.
