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11. Round the following value  to the nearest minute.

To solve the problem, we need to evaluate the given summation expression and then round the result to the nearest minute.

The summation expression provided is:

\[
\frac{1}{4} \sum_{i=2}^{5} x_i
\]

This means we need to sum the values of \( x_i \) from \( i=2 \) to \( i=5 \), then multiply the sum by \( \frac{1}{4} \).

### Step 1: Extract the Values of \( x_i \) from the Table
From the table:
- \( x_2 \) (Tuesday) = 62 minutes
- \( x_3 \) (Wednesday) = 40 minutes
- \( x_4 \) (Thursday) = 10 minutes
- \( x_5 \) (Friday) = 30 minutes

### Step 2: Compute the Sum
\[
x_2 + x_3 + x_4 + x_5 = 62 + 40 + 10 + 30 = 142 \text{ minutes}
\]

### Step 3: Multiply by \( \frac{1}{4} \)
\[
\frac{1}{4} \times 142 = 35.5 \text{ minutes}
\]

### Step 4: Round to the Nearest Minute
Rounding 35.5 minutes to the nearest minute gives 36 minutes.

**Final Answer:** 36 minutes.

Would you like more details or have any other questions? Here are some related questions you might find interesting:

1. How do you calculate a weighted average using summation notation?
2. What is the difference between summation and product notation in mathematics?
3. How can you use a similar approach to solve for \( x_i \) over different ranges?
4. What are some real-life applications of summation notation in statistics?
5. How does rounding affect the accuracy of results in real-world scenarios?

**Tip:** When rounding numbers, always consider the context of the problem. For example, in time-related calculations, rounding to the nearest minute is often practical.

Learn how to round the summation result to the nearest minute with a detailed step-by-step solution. This problem involves arithmetic operations and rounding principles. Suitable for students in Grades 6-8.

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