Question

Reviewer Ratings The histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently published book. 0.5 0.4 0.3 0.2 0.445 (a) Find the mean, variance, and standard deviation of the probability distribution |(b) Interpret the results. 0.212 0.234 0.089 0.1 0.020 0.0 1 2 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 all that apply. A. Most of the ratings differ from the average rating by about 1 or 2. B. The average rating for the book is approximately 1 C. Most of the ratings differ from the average rating by about 3 or 4 D. The average rating for the book is approximately 4 -L5 - Probability

Answer 1

Solution from given data. 0.445 probabilly 6-234 0212 0.069 0020 1 2 4 5 3 Rating - (a) find the mean , vanicnce, and standard deviation of the probability dishaitution Meant - Expo (1K0-020) +(2*0.089) + (3*0212)+(4*0234) + (5*0.445) = 0.020 + 0.178+ 0-636 + 0.936 + 2.225 mean = 3.995 Vaniance - Ex? POX -(mean? = (IZ *0020) + (23*0-089)+(2*0-212) +/4*0-234)+152#0-445) - 13.99582 2 0.020 + 0.356+1.908 + 3.744 +11-2 - 15.960025 = 17.228 - 15.960025 Variance : 1267975

standard deviation & ✓ variance IV 1.267975 Standard deviation : 1.126 Mean a = 3.995 = 1267975 Vaniance standand deviation 1.126 (6) Interpret the results. . .i opl-ion "B" is correct The average rating for book is approximately les