Directions: Read the following information and answer the three questions that follow: The following data presents a count of released convicts who have served prison terms (X), those who have received some educational or technical training during their term (Y), and those who were offered company placement (Z) respectively, from six different jails A, B, C, D, E, and F, in the year 2010 X Y Z A 86 45 25 B 1305 903 461 C 2019 940 474 D 1166 869 416 E 954 544 254 F 1198 464 174
Jail with highest placement rate of trained convicts is:
A
Finding the Jail with the Highest Placement Rate of Trained Convicts
The question asks us to identify the jail that has the highest placement rate among convicts who received educational or technical training. To solve this, we need to calculate the placement rate for trained convicts for each jail and then compare these rates.
Understanding the Data
The provided table gives us the following information for six different jails (A, B, C, D, E, F) in the year 2010:
- X: Count of released convicts who have served prison terms.
- Y: Count of released convicts who received some educational or technical training during their term.
- Z: Count of released convicts who were offered company placement.
We are interested in the placement rate of *trained* convicts. This means we need to look at the number of trained convicts (Y) and the number of those who received placement (Z). The placement rate for trained convicts will be the number of placed convicts (Z) divided by the number of trained convicts (Y), expressed as a percentage.
| X | Y (Trained) | Z (Placed) | |
| A | 86 | 45 | 25 |
| B | 1305 | 903 | 461 |
| C | 2019 | 940 | 474 |
| D | 1166 | 869 | 416 |
| E | 954 | 544 | 254 |
| F | 1198 | 464 | 174 |
Calculating Placement Rate for Trained Convicts
The formula for the placement rate of trained convicts is:
\text{Placement Rate} = \left( \frac{\text{Number of Placed Convicts (Z)}}{\text{Number of Trained Convicts (Y)}} \right) \times 100\%
Let's calculate this rate for each jail:
- Jail A:
\text{Rate}_A = \left( \frac{25}{45} \right) \times 100\% \approx 0.5556 \times 100\% \approx 55.56\%
- Jail B:
\text{Rate}_B = \left( \frac{461}{903} \right) \times 100\% \approx 0.5105 \times 100\% \approx 51.05\%
- Jail C:
\text{Rate}_C = \left( \frac{474}{940} \right) \times 100\% \approx 0.5043 \times 100\% \approx 50.43\%
- Jail D:
\text{Rate}_D = \left( \frac{416}{869} \right) \times 100\% \approx 0.4787 \times 100\% \approx 47.87\%
- Jail E:
\text{Rate}_E = \left( \frac{254}{544} \right) \times 100\% \approx 0.4669 \times 100\% \approx 46.69\%
- Jail F:
\text{Rate}_F = \left( \frac{174}{464} \right) \times 100\% \approx 0.3750 \times 100\% \approx 37.50\%
Comparing Placement Rates
Now, let's compare the calculated placement rates for trained convicts:
- Jail A: \(\approx 55.56\%\)
- Jail B: \(\approx 51.05\%\)
- Jail C: \(\approx 50.43\%\)
- Jail D: \(\approx 47.87\%\)
- Jail E: \(\approx 46.69\%\)
- Jail F: \(\approx 37.50\%\)
Looking at these percentages, Jail A has the highest placement rate for trained convicts at approximately 55.56%.
Conclusion
Based on the calculations, Jail A shows the highest percentage of trained convicts who were offered company placement compared to the other jails.
Revision Table: Data Analysis
| Jail | Y (Trained Convicts) | Z (Placed Convicts) | Placement Rate (Z/Y * 100%) | Rank |
| A | 45 | 25 | \(\approx 55.56\%\) | 1 |
| B | 903 | 461 | \(\approx 51.05\%\) | 2 |
| C | 940 | 474 | \(\approx 50.43\%\) | 3 |
| D | 869 | 416 | \(\approx 47.87\%\) | 4 |
| E | 544 | 254 | \(\approx 46.69\%\) | 5 |
| F | 464 | 174 | \(\approx 37.50\%\) | 6 |
Additional Information: Interpreting Placement Data
When analyzing data like this, it's important to consider various factors. The placement rate of trained convicts (Z/Y) gives insight into the effectiveness of the training programs combined with job placement efforts. A higher rate suggests better outcomes for those who received training.
Comparing Z to X (Total released convicts) would give the overall placement rate among all released convicts. Comparing Y to X would show what proportion of released convicts received training.
Different jails might have different types of training programs, industry connections, or inmate populations, all of which could influence these rates.
Similar Questions
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Year 2015
Year 2016
Country A
35
38
Country B
45
47
Country C
88
93
Country D
75
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Country E
58
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Number of
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10
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13
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18
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17
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12
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7
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