A production manager counted the number of items produced each hour during a 40-hour workweek. The frequency distribution is given in the table. Determine the relative frequency distribut associated with this data. Number Produced During Hour Number of Occurrences Complete the table. Number Produced During Hour 50 51 2 0 50 51 52 53 6 6 52 53 Relative Frequency (Type integers or decimals. Do not round.). U 54 10 54 55 10 55 56 2 56 57 58 59 0 57 0 4 58 59 (...)
A production manager counted the number of items produced each hour during a 40-hour workweek. The frequency distribution is given in the table. Determine the relative frequency distribut associated with this data. Number Produced During Hour Number of Occurrences Complete the table. Number Produced During Hour 50 51 2 0 50 51 52 53 6 6 52 53 Relative Frequency (Type integers or decimals. Do not round.). U 54 10 54 55 10 55 56 2 56 57 58 59 0 57 0 4 58 59 (...)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![**Title: Calculating Relative Frequency from a Frequency Distribution**
**Introduction:**
Understanding frequency distribution is crucial in statistics for analyzing how often a particular data point appears within a set of data. Here, we explore the concept using a real-world example from a production environment.
**Data Overview:**
A production manager recorded the number of items produced each hour during a 40-hour workweek. The frequency distribution of the data is as follows:
**Frequency Distribution Table:**
| Number Produced During Hour | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 |
|-----------------------------|----|----|----|----|----|----|----|----|----|----|
| Number of Occurrences | 2 | 6 | 6 | 6 | 10 | 10 | 2 | 0 | 0 | 4 |
**Objective:**
Determine the relative frequency distribution for the data provided.
**Steps for Calculation:**
1. **Calculate the Total Number of Observations:**
Sum all the occurrences:
\[
2 + 6 + 6 + 6 + 10 + 10 + 2 + 0 + 0 + 4 = 46
\]
2. **Complete the Relative Frequency Table:**
To find the relative frequency for each number produced during the hour, use the formula:
\[
\text{Relative Frequency} = \frac{\text{Number of Occurrences}}{\text{Total Number of Observations}}
\]
**Relative Frequency Table:**
| Number Produced During Hour | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 |
|-----------------------------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|
| Relative Frequency | 0.043 | 0.130 | 0.130 | 0.130 | 0.217 | 0.217 | 0.043 | 0.000 | 0.000 | 0.087 |
(Note: Values are rounded to three decimal places for clarity.)
**Conclusion:**
Relative frequency helps in understanding the proportion of each type of data point in relation to the whole](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5aa36f0-fa96-44c9-9490-28bf7ea812b5%2Ffe13f965-75e2-4914-9c6e-84caf04ede0b%2Fayic60k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Calculating Relative Frequency from a Frequency Distribution**
**Introduction:**
Understanding frequency distribution is crucial in statistics for analyzing how often a particular data point appears within a set of data. Here, we explore the concept using a real-world example from a production environment.
**Data Overview:**
A production manager recorded the number of items produced each hour during a 40-hour workweek. The frequency distribution of the data is as follows:
**Frequency Distribution Table:**
| Number Produced During Hour | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 |
|-----------------------------|----|----|----|----|----|----|----|----|----|----|
| Number of Occurrences | 2 | 6 | 6 | 6 | 10 | 10 | 2 | 0 | 0 | 4 |
**Objective:**
Determine the relative frequency distribution for the data provided.
**Steps for Calculation:**
1. **Calculate the Total Number of Observations:**
Sum all the occurrences:
\[
2 + 6 + 6 + 6 + 10 + 10 + 2 + 0 + 0 + 4 = 46
\]
2. **Complete the Relative Frequency Table:**
To find the relative frequency for each number produced during the hour, use the formula:
\[
\text{Relative Frequency} = \frac{\text{Number of Occurrences}}{\text{Total Number of Observations}}
\]
**Relative Frequency Table:**
| Number Produced During Hour | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 |
|-----------------------------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|
| Relative Frequency | 0.043 | 0.130 | 0.130 | 0.130 | 0.217 | 0.217 | 0.043 | 0.000 | 0.000 | 0.087 |
(Note: Values are rounded to three decimal places for clarity.)
**Conclusion:**
Relative frequency helps in understanding the proportion of each type of data point in relation to the whole
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