Given the following set of scores X : 10, 12, 6, 8, 9, 11, 13, 13, 5, 0, 1 What is the value of ?
A) 4.54
B) 206
C) 1
D) 0

Question

Given the following set of scores X : 10, 12, 6, 8, 9, 11, 13, 13, 5, 0, 1 What is the value of  ?
A) 4.54 
B) 206 
C) 1 
D) 0

Quizplus · Accepted Answer

The given set of scores X can be sorted as follows:
0, 1, 5, 6, 8, 9, 10, 11, 12, 13, 13
The value 11ec1b7e_f90c_6120_bbf8_b798c97e276c_TBX9373_11 is equal to the sum of the squares of the differences between each score and the mean of the set, divided by the number of scores minus one.
First, calculate the mean:
mean = (0 + 1 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 13 + 13) / 11 = 8
Next, find the differences between each score and the mean:
-8, -7, -3, -2, 0, 1, 2, 3, 4, 5, 5
Square each difference:
64, 49, 9, 4, 0, 1, 4, 9, 16, 25, 25
Find the sum of the squared differences:
64 + 49 + 9 + 4 + 0 + 1 + 4 + 9 + 16 + 25 + 25 = 206
Divide by the number of scores minus one:
206 / 10 = 20.6
Therefore, the value of 11ec1b7e_f90c_6120_bbf8_b798c97e276c_TBX9373_11 is 20.6, which is closest to answer choice B (206).

Given the Following Set of Scores X : 10, 12