Friday, 24 January 2014

Calculating Averages for Coursework

As you know, an average is calculated by finding the sum of all the values, and then dividing this by the number of different values (so if there are 3 different results, divide the total by 3).

When we take a reading on a stopwatch, we have to be careful when calculating the average. First you have to convert the value to seconds, then add up. Here's an example:

If I took two readings, one was 3:42:07 (that's 3 minutes, 42.07 seconds) and one was 2:56:39, if we tried calculating the average in minutes, we would probably do (3.4207 + 2.5639) / 2. That would give an answer of 2.9923. 2 minutes and 99 seconds? That can't be right, and it's because there are 60 seconds in a minute, whereas decimals work in 100s.

Instead we need to convert the values to seconds. 3:42:07 becomes 222.07 seconds (because 3 minutes is 180 seconds, and 180 + 42 = 222). 2:56:39 becomes 176.39 seconds. The average is 199.23 seconds.

To be honest, it's probably neater and easier to keep your answer in seconds...

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