Question

Reviewer Ratings The histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently published book (a) Find the mean, variance, and standard deviation of the probability distribution (b) Interpret the results Probability OOOOOO 0.214 0 248 0.022 0.072 Rating (a) The mean is (Type an integer or a decimal. Do not round.) The variance is (Round to two decimal places as needed.) The standard deviation is (Round to two decimal places as needed.) (b) Interpret the results. Select al that apply. A. Most of the ratings differ from the average rating by about 3 or 4 B. Most of the ratings differ from the average rating by about 1 or 2. C. The average rating for the book is approximately 4. D. The average rating for the book is approximately 1.

Answer 1

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solution: a) mean - EXP(X) 41X0022) + 12*0.012) +(3*0.914)+6X0.2U8 )+560.444) 20.029+ 0.144+0.64270.992 +2.22 24.02 mean is 4.02 Vooranee > Ex? PCX) - mean? - 11340.022) + (240.072) 169%0 L14) * L' 40.248) 4630 uuw) -(4.02 -0.022 +0.288 +1.926+ 3.968+11.1 – 16.1604 - 17.304 - 16.1604 21.1436 variance - 1.1436 1.14 standard deviation - variance - 1. 1036 - 1.06939235 standard deviation - 1.07 b) The average rating for the book is approximately 4 option is complect.

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