Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were: 34, 35, 41, 28, 26, 29, 32, 36, 38, and 40. What is the mean deviation of the ratings?
A)8.00
B)4.12
C)12.67
D)0.75

Question

Quizplus · Accepted Answer

To find the mean deviation, we first need to find the mean rating, which is:
(34+35+41+28+26+29+32+36+38+40)/10 = 34.9
Then, we find the deviation of each rating from the mean:
-0.9, 0.1, 6.1, -6.9, -8.9, -5.9, -2.9, 1.1, 3.1, and 5.1
We take the absolute value of each deviation and sum them up:
0.9+0.1+6.1+6.9+8.9+5.9+2.9+1.1+3.1+5.1 = 40
To find the mean deviation, we divide by the number of ratings, which is 10:
40/10 = 4
Therefore, the mean deviation of the ratings is 4. Answer choice B is the only one that matches this result.

Ten Experts Rated a Newly Developed Chocolate Chip Cookie on a Scale