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Sir, I have a question,
for one of my examples :Batch number Time taken
1 100 minutes
2 70 minutes
3 59 minutes
4 55 minutesthey ask, what is rate of learning, and first calculate the learning rate for first 2 (which is 85%), then calculate the average of total 4 batches (which is 71 minutes) and give the ratio of 71/85 as the learning rate of 4
Then the overall rate is average of these 2 rates which is 84.3%
Can you please explain, can we apply this method, if we have, say, 5 or 6 batches?
That is, calculate the average of first 2, then average of total 5 or 6 and get the ratio and so on… ?No – you are only able to do it using the doubling rule (so only if it is 2, 4, 8 etc.)
Our free lectures on this will help you.
(Our lectures are a complete course for Paper F5 and cover everything needed to be able to pass the exam well)
Dear tutor,
in this example the batches are 1,2,3 and 4, so there is no doubling. Please correct me if I am wrong.
Thanks.
You are not wrong, but they are calculating the learning rate using the doubling rule for 2 and for 4.
The time for 3 is only relevant in calculating the average time for making 4.
If they made 8 in total (which is unlikely in the exam because it takes longer) then you would still use the doubling rule (but they would have to give you the times for each of 5, 6, 7 and 8 in order to be able to calculate the average time for 8).Again, you can only be asked to calculate the learning rate if they are making 2, 4, or 8 etc in total (and again, I really do suggest that you watch our free lectures).
Sir, thank you for your explanation. Can we just not to worry about this since in exam paper there will not be more than 4 bathces and they will not ask average for uneven number of batches? As far as I understand, this is not covered in material given here on this site and therefore the question is unnecessary… I haven’t covered everything here and I really worry about time pressure… Thank you again for your help.
I revised once more what I have learned from lectures. We of course may be asked to find out the time for uneven number of batches. But we use here doubling method and then subtract the time for the first. But for this we need time for each 3, 5, 7 etc. am I right?
You are confusing two different questions.
Your original question was being given the time per unit and then calculating the learning rate. That can only be done using the doubling rule.
What you are now writing about is the situation when you are given the learning rate and are asked to calculate the time for a particular batch or unit. In that case you can use the doubling rule if it is 2, 4, 8 etc. but more likely the doubling rule will not be applicable and you will have to use the formula.
(You cannot be asked to use the formula backwards, which would be needed if you were asked to calculate the learning rate and it was not doubling)
And both types of questions are certainly dealt with in the lectures!!!
Yes, I have realized this after I have written these questions… My original plan was to cover as quick as possible all the topics then revise them with more depth… now it’s time to settle and revise thoughtfully.
Thank you.
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