Find the 84th percentile, P84, from the following data 1000 1100 1200 1300 1600 1800 1900 2100 2600 2700 3000 3100 3200 3700 3900 4000 4600 5300 5800 6300 6500 6900 7000 7200 7600 7800 8200 8800 8900
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Find the 84th percentile, P84, from the following data
| 1000 | 1100 | 1200 | 1300 | 1600 |
| 1800 | 1900 | 2100 | 2600 | 2700 |
| 3000 | 3100 | 3200 | 3700 | 3900 |
| 4000 | 4600 | 5300 | 5800 | 6300 |
| 6500 | 6900 | 7000 | 7200 | 7600 |
| 7800 | 8200 | 8800 | 8900 |
P84 =
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