Question

Calculate each value requested for the following set of scores. Scores: 11, 5, 6, 8, 13, 9 a. ΣX – 4 b. Σ(X – 4) c. Σ(X – 4)2

Answer 1

To calculate the values ΣX - 4, Σ(X - 4), and Σ(X - 4)2 for the given set of scores, subtract 4 from each score and then find the sum.

Step-by-step explanation:

In order to calculate the requested values for the given set of scores, we need to understand the notation being used.

a. ΣX represents the sum of all the scores. To find ΣX – 4, subtract 4 from each score and then add them together.

For example,

11 – 4 + 5 – 4 + 6 – 4 + 8 – 4 + 13 – 4 + 9 – 4

= 34.

b. Σ(X – 4) represents the sum of each score minus 4. To find this value, subtract 4 from each score and then add them together.

For example,

(11 – 4) + (5 – 4) + (6 – 4) + (8 – 4) + (13 – 4) + (9 – 4)

= 20.

c. Σ(X – 4)2 represents the sum of each score minus 4 squared. To find this value, subtract 4 from each score, square the result, and then add them together.

For example,

(11 – 4)2 + (5 – 4)2 + (6 – 4)2 + (8 – 4)2 + (13 – 4)2 + (9 – 4)2

= 130.