Here is a data set that has a nearly normal distribution. data data data data 45.58 37.46 45.56 43.49 53.94 68.8 36.73 57.33 62.59 59.11 57.12 42.93 43.26 24.8 57.19 32.65 42.78 34.02 55.95 49.9 38.45 43.78 70.43 38.36 55.53 55.46 59.96 45.05 45.17 44.8 56.9 57.33 46.84 55.48 54.14 60 49.04 51.23 54.28 65 In building a Frequency Distribution Table for this data set, you need to know how many values are in the class from 60 to 65. You decided that each class will include the lower class limit, but not the upper class limit. So, how many values are there in the interval [60,65)?
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!
Here is a data set that has a nearly
| data | data | data | data |
|---|---|---|---|
| 45.58 | 37.46 | 45.56 | 43.49 |
| 53.94 | 68.8 | 36.73 | 57.33 |
| 62.59 | 59.11 | 57.12 | 42.93 |
| 43.26 | 24.8 | 57.19 | 32.65 |
| 42.78 | 34.02 | 55.95 | 49.9 |
| 38.45 | 43.78 | 70.43 | 38.36 |
| 55.53 | 55.46 | 59.96 | 45.05 |
| 45.17 | 44.8 | 56.9 | 57.33 |
| 46.84 | 55.48 | 54.14 | 60 |
| 49.04 | 51.23 | 54.28 | 65 |
In building a Frequency Distribution Table for this data set, you need to know how many values are in the class from 60 to 65. You decided that each class will include the lower class limit, but not the upper class limit. So, how many values are there in the interval [60,65)?
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