@5:39 the average gap = sum of all gaps/n. But no matter at what nr you start if x1=24 and x2=29, then the gap between them is 29-24 = 5 not 4. you claim the second gap has size (x2-x1-1).
This is a more straightforward method commonly used to solve this problem. Compare the max number found to the sum of all numbers, take the average, and double it. Then use the max of these two numbers. This method has some intuitive appeal. If the numbers are evenly distributed, the average would represent the midpoint, so doubling it could give a reasonable total estimate. I tested this out by solving a problem by estimating the highest number of houses on a street when we only knew a few of the house numbers on each street. I tested the tank method with the straightforward process, and the results were about the same.
I applaud you as a creative, but if you want a wider audience, you should make a conscious effort to speak slower and enunciate. I'm a pretty decent non-native english speaker and I had to focus way too much on deciphering what you were saying. I gave up before the end of the video.
@5:39 the average gap = sum of all gaps/n. But no matter at what nr you start if x1=24 and x2=29, then the gap between them is 29-24 = 5 not 4. you claim the second gap has size (x2-x1-1).
This is a more straightforward method commonly used to solve this problem. Compare the max number found to the sum of all numbers, take the average, and double it. Then use the max of these two numbers. This method has some intuitive appeal. If the numbers are evenly distributed, the average would represent the midpoint, so doubling it could give a reasonable total estimate.
I tested this out by solving a problem by estimating the highest number of houses on a street when we only knew a few of the house numbers on each street.
I tested the tank method with the straightforward process, and the results were about the same.
I applaud you as a creative, but if you want a wider audience, you should make a conscious effort to speak slower and enunciate. I'm a pretty decent non-native english speaker and I had to focus way too much on deciphering what you were saying. I gave up before the end of the video.
Wow this is a very high quality video! Very informative!