A warehouse worker fills 150 orders per day on average. From day to day, the number of orders varies by 2%. What is the range of the number of orders the worker fills each day?
Understand the Problem
The question is asking for the range of orders filled by a warehouse worker given an average of 150 orders per day and a variability of 2%. We need to calculate 2% of 150 and then determine the maximum and minimum number of orders based on this range.
Answer
The range of the number of orders the worker fills each day is from 147 to 153.
Answer for screen readers
The range of the number of orders the worker fills each day is from 147 to 153.
Steps to Solve
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Calculate 2% of the average orders To find the variability in the number of orders filled, we first need to calculate 2% of 150. This can be done using the formula: $$ 0.02 \times 150 = 3. $$
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Determine the minimum number of orders From the average of 150 orders, we subtract the variability to find the minimum number of orders: $$ 150 - 3 = 147. $$
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Determine the maximum number of orders Now, we add the variability to the average to find the maximum number of orders: $$ 150 + 3 = 153. $$
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State the range of orders filled So, the range of orders filled each day is from 147 to 153.
The range of the number of orders the worker fills each day is from 147 to 153.
More Information
The calculation method uses the average and the percentage of variability to determine a range, which is a common practice in statistics to account for fluctuations in data.
Tips
- Failing to correctly calculate the percentage, which can lead to an incorrect range. Always double-check calculations when dealing with percentages.
- Not applying the variability to both the minimum and maximum correctly. Ensure both additions and subtractions are made from the average.
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