Question
2h.AP5-3.15 Check My Wor Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount on should include the comma ( \( \$ 2,354.67 \) ). All percentage values in the answers need to include a percentage sign (\%). For all items witho fic rounding instructions, round your answers to two decimal places, show both decimol places (5.06). Whe receives a piecework rate of 10 cents per unit from the Wiggy Factory. Her production for last week was affected by a machiner akdown on Tuesday. Her production results were: Monday, 375 units; Tuesday, 22 units; Wednesday, 410 units; Thursday, 390 t5; and Friday, 390 units. What is the mean number of units produced per day? What is the median number of units produced? What is the mode number of units produced?
Ask by Harmon Nguyen. in the United States
Mar 06,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- **Mean:** \$317.40 units
- **Median:** \$390 units
- **Mode:** \$390 units
Solution
Below is the step‐by‐step solution in markdown with LaTeX formatting.
---
### Production Data
Whe’s production for the week was:
- Monday: \(375\) units
- Tuesday: \(22\) units
- Wednesday: \(410\) units
- Thursday: \(390\) units
- Friday: \(390\) units
---
### 1. Mean Number of Units Produced per Day
To find the mean, we sum the total units produced and then divide by the number of days.
\[
\text{Mean} = \frac{375 + 22 + 410 + 390 + 390}{5}
\]
**Step 1:** Calculate the total units produced:
\[
375 + 22 = 397
\]
\[
397 + 410 = 807
\]
\[
807 + 390 = 1,197
\]
\[
1,197 + 390 = 1,587
\]
**Step 2:** Divide the total by \(5\):
\[
\text{Mean} = \frac{1,587}{5} = 317.40 \text{ units}
\]
---
### 2. Median Number of Units Produced
The median is the middle number when the data is arranged in increasing order.
**Step 1:** Arrange the production values in ascending order:
\[
22,\quad 375,\quad 390,\quad 390,\quad 410
\]
**Step 2:** The middle (third) value is the median:
\[
\text{Median} = 390 \text{ units}
\]
---
### 3. Mode Number of Units Produced
The mode is the value that appears most frequently.
**Step 1:** Inspect the list:
- \(22\) appears once.
- \(375\) appears once.
- \(390\) appears twice.
- \(410\) appears once.
**Step 2:** The number that appears most frequently is:
\[
\text{Mode} = 390 \text{ units}
\]
---
### Final Answers
- **Mean:** \(317.40\) units
- **Median:** \(390\) units
- **Mode:** \(390\) units
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To find the mean number of units produced per day, you add the total units produced: \( 375 + 22 + 410 + 390 + 390 = 1,587 \). Then divide by the number of days (5), giving you a mean of \( \frac{\$1,587}{5} = \$317.40 \). For the median, you need to sort the production numbers: 22, 375, 390, 390, 410. Since there are 5 numbers, the median (the middle value) is the third number, which is 390 units. The mode is the number that appears most frequently in the list, which is 390 units, as it appears twice.
