The following table gives output of workers in a factory. Find the modal output.
Understand the Problem
The question is asking to find the modal output based on the given frequency distribution of workers' output. The modal output is the range with the highest frequency of workers, and this involves identifying the class with the most workers in the given table.
Answer
The modal output is the range $190 - 200$.
Answer for screen readers
The modal output is the range $190 - 200$.
Steps to Solve
-
Identify the Frequency Distribution Review the provided table with the output ranges and corresponding number of workers.
Output Range Number of Workers 150-160 4 160-170 5 170-180 19 180-190 33 190-200 48 200-210 22 210-220 12 220-230 6 -
Determine the Highest Frequency Look for the output range with the highest number of workers.
The maximum value in the number of workers column is 48, which corresponds to the output range of 190-200.
-
Identify the Modal Output Range The mode is the output range where the highest frequency occurs. Thus, the modal output is:
$$ \text{Modal Output} = 190 - 200 $$
The modal output is the range $190 - 200$.
More Information
The modal output represents the most common output range among workers in the factory. Understanding the mode helps in analyzing performance and productivity effectively.
Tips
- Confusing the mode with the median or mean: Ensure to identify the modal output as the range with the highest frequency, not an average.
- Overlooking ranges due to misreading the table: Carefully check the number of workers for each range to ensure accuracy.
AI-generated content may contain errors. Please verify critical information
