Of this list of random numbers: 4, 5, 6, 9, 14, 42, 25, 68, 4 What\'s the range?

Question

Of this list of random numbers: 4, 5, 6, 9, 14, 42, 25, 68, 4 What's the range? If these numbers were the exhaustive list of outcomes and they had a uniform probability distribution which would you bet on? Why? In another series of random numbers: 5, 8, 19, 67, 43, 10, 9, 11, 1 If these numbers were an exhaustive list of outcomes and they had a uniform probability distribution which would you bet on? Why? Taking the same series of numbers from question 20, what is the standard deviation? What does the standard deviation tell us about the data? Why is the standard deviation a core concept in statistics?

Explanation / Answer

18. Range = Maximum - Minimum

Here,

Maximum = 42

Minimum = 4

Hence,

Range = 42 - 4 = 38

If they had a uniform probability distribution then the number on which we will bet is 4. The reason is that 4 occurs in the data set twice and hence, it will contain the highest probability as compared to others to get 4.

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