Give the picture , Mean: 3.487783 and Standard deviation: 1.141371 a. How does t

Question

Give the picture , Mean: 3.487783 and Standard deviation: 1.141371

a. How does this distribution compare to the standard normal distribution in terms of shape?

b. Using the histogram, approximately how much of the eruption data falls within 1 standard deviation of the mean? How does this compare to the Empirical Rule that applies to nearly-normal data? This percentage is something you can “eyeball” estimate from Part (c) and the bin frequencies. (Note: you can also calculate it exactly with the use of sum and the right compound logic statement. R uses & for logical “and” and | (the pipe symbol – shift of ) for logical “or”.)

Explanation / Answer

a. How does this distribution compare to the standard normal distribution in terms of shape?

Ans: This distribution shows a combination of two standard normal distribution.

b. Using the histogram, approximately how much of the eruption data falls within 1 standard deviation of the mean?

Ans: Using the histogram, approximately 50% of the eruption data falls within 1 standard deviation of the mean.

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