Question

Statistic
Evaluate the expression. [ frac{(12-8){²}+(15-8)^{²}+(2-8)^{²}+(4-8)^{2}}{2} ]

Answer 1

The given expression is evaluated by squaring each difference, summing the results, and then dividing by 2. The final answer is 58.5.

Step-by-step explanation:

To evaluate the given expression, we need to calculate each term inside the parentheses, square them as indicated, and then sum all the squared terms followed by dividing by 2 as provided by the expression's denominator.

Let's break down the expression step by step:

• (12 - 8)² = (4)² = 16
• (15 - 8)² = (7)² = 49
• (2 - 8)² = (-6)² = 36
• (4 - 8)² = (-4)² = 16

Now, we sum these squared terms: 16 + 49 + 36 + 16 = 117.

Finally, we divide this sum by 2 to get the final result:

(117 / 2) = 58.5.

This is the evaluated result of the given expression.