Use the magnitudes (Richter scale) of the 120120 earthquakes listed in the accompanying data table. Use technology to find the range, variance, and standard deviation. If another value, 8.008.00, is added to those listed in the data set, do the measures of variation change much? LOADING... Click the icon to view the table of magnitudes. Without the extra data value, the range is nothing. 3.332.462.582.422.762.382.212.401.911.442.881.722.012.352.312.694.662.853.382.692.773.403.942.973.883.453.102.922.733.642.842.373.023.212.593.593.202.662.332.432.793.922.492.922.933.442.292.582.913.142.201.141.924.032.582.842.392.291.512.801.941.592.452.352.091.553.241.491.822.541.672.372.442.062.182.802.012.842.402.641.662.911.831.981.842.511.982.173.661.533.172.471.881.482.793.273.882.762.432.702.501.612.173.052.341.481.902.362.701.421.381.792.222.302.471.752.382.412.482.41
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!
2.46
2.58
2.42
2.76
2.38
2.21
2.40
1.91
1.44
2.88
1.72
2.01
2.35
2.31
2.69
4.66
2.85
3.38
2.69
2.77
3.40
3.94
2.97
3.88
3.45
3.10
2.92
2.73
3.64
2.84
2.37
3.02
3.21
2.59
3.59
3.20
2.66
2.33
2.43
2.79
3.92
2.49
2.92
2.93
3.44
2.29
2.58
2.91
3.14
2.20
1.14
1.92
4.03
2.58
2.84
2.39
2.29
1.51
2.80
1.94
1.59
2.45
2.35
2.09
1.55
3.24
1.49
1.82
2.54
1.67
2.37
2.44
2.06
2.18
2.80
2.01
2.84
2.40
2.64
1.66
2.91
1.83
1.98
1.84
2.51
1.98
2.17
3.66
1.53
3.17
2.47
1.88
1.48
2.79
3.27
3.88
2.76
2.43
2.70
2.50
1.61
2.17
3.05
2.34
1.48
1.90
2.36
2.70
1.42
1.38
1.79
2.22
2.30
2.47
1.75
2.38
2.41
2.48
2.41
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