Angie’s Bakery bakes bagels. The June production is given below.

350	450	190	190	190
190	190	190	450	190
350	190	190	370	190
370	190	340	190	190
370	340	190	450	190
340	370	190	340	340
Find the weighted mean.

Note: Round your answer to the nearest whole number.



Let's recalculate the weighted mean based on the June production data provided:

### Step 1: Tally the frequency of each production value.

- **190** occurs 19 times
- **340** occurs 5 times
- **350** occurs 3 times
- **370** occurs 4 times
- **450** occurs 3 times

### Step 2: Calculate the weighted sum.
\[
\sum (x_i \cdot f_i) = (190 \times 19) + (340 \times 5) + (350 \times 3) + (370 \times 4) + (450 \times 3)
\]

\[
= 3610 + 1700 + 1050 + 1480 + 1350 = 9190
\]

### Step 3: Calculate the sum of the frequencies.
\[
\sum f_i = 19 + 5 + 3 + 4 + 3 = 34
\]

### Step 4: Calculate the weighted mean.
\[
\text{Weighted Mean} = \frac{9190}{34} \approx 270.29
\]

### Step 5: Round to the nearest whole number.
The weighted mean is approximately **270**.

Would you like more details or have any questions? Here are five related questions to explore:

1. What would be the impact on the weighted mean if the frequency of the smallest value increased?
2. How is the weighted mean different from the median in this context?
3. How would outliers affect the weighted mean?
4. What practical applications does the weighted mean have in inventory management?
5. Can the weighted mean be used to compare different months of production effectively?

**Tip:** When calculating the weighted mean, ensure that you accurately tally frequencies to avoid miscalculations.

Learn how to calculate the weighted mean for Angie’s Bakery June production data. Follow a step-by-step guide using the provided production quantities to compute the weighted average, rounded to the nearest whole number. Suitable for Grades 9-12 students and anyone interested in statistical calculations.

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