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
Jails with highest and smallest percentage of trained convicts are respectively:
D and F
The question asks us to identify the jails with the highest and the smallest percentage of trained convicts out of the total released convicts. We are provided with data for six jails (A, B, C, D, E, F) showing the number of released convicts (X) and those who received training (Y).
To find the percentage of trained convicts for each jail, we use the following formula:
Percentage of trained convicts \(= \left( \frac{\text{Number of trained convicts (Y)}}{\text{Total number of released convicts (X)}} \right) \times 100\)
Let's calculate the percentage for each jail using the data from the provided table:
| Jail | Released (X) | Trained (Y) | Calculation | Percentage |
| A | 86 | 45 | \(\left( \frac{45}{86} \right) \times 100\) |
\(\approx 52.33\%\) |
| B | 1305 | 903 | \(\left( \frac{903}{1305} \right) \times 100\) |
\(\approx 69.19\%\) |
| C | 2019 | 940 | \(\left( \frac{940}{2019} \right) \times 100\) |
\(\approx 46.56\%\) |
| D | 1166 | 869 | \(\left( \frac{869}{1166} \right) \times 100\) |
\(\approx 74.53\%\) |
| E | 954 | 544 | \(\left( \frac{544}{954} \right) \times 100\) |
\(\approx 57.02\%\) |
| F | 1198 | 464 | \(\left( \frac{464}{1198} \right) \times 100\) |
\(\approx 38.73\%\) |
Now, let's compare the calculated percentages for each jail:
By examining these percentages, we can find the highest and smallest values:
Therefore, the jails with the highest and smallest percentage of trained convicts are D and F, respectively.
Here is a summary of the calculated percentages for quick reference:
| Jail | Percentage of Trained Convicts (approx.) |
| A | 52.33% |
| B | 69.19% |
| C | 46.56% |
| D | 74.53% |
| E | 57.02% |
| F | 38.73% |
Highest percentage: Jail D (74.53%)
Smallest percentage: Jail F (38.73%)
This type of data analysis helps in evaluating the effectiveness of training programs in different correctional facilities. The percentage of trained convicts shows the proportion of released individuals who received educational or technical training during their term. A higher percentage might indicate a greater emphasis on rehabilitation through skill development in that particular jail. Comparing these percentages across different jails allows for insights into varying approaches to inmate training. It's important to note that this data only reflects the number of individuals trained and released; it doesn't directly measure the success of these programs in terms of reducing recidivism or securing employment, although related data (like 'offered company placement - Z') might provide further context for a broader analysis.
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