Question
Case managers in a therapeutic foster home agency completed assessments on at-risk youth who are clients of the agency. They assessed for risky behaviors as
Case managers in a therapeutic foster home agency completed assessments on at-risk youth who are clients of the agency. They assessed for risky behaviors as well as mental health needs. Higher scores indicate greater number of risky behaviors and greater need. Conduct the following analyses on their assessment scores for each subscale.
Score | Risky behaviors | Cumulative Frequency | Mental Health needs | Cumulative Frequency |
12 | 22 | 22 | 28 | 28 |
11 | 26 | 48 | 25 | 53 |
10 | 17 | 65 | 25 | 78 |
9 | 33 | 98 | 11 | 89 |
8 | 14 | 112 | 14 | 103 |
7 | 12 | 124 | 12 | 115 |
6 | 10 | 134 | 10 | 125 |
5 | 8 | 142 | 22 | 147 |
4 | 5 | 147 | 9 | 156 |
3 | 6 | 153 | 3 | 159 |
2 | 2 | 155 | 5 | 164 |
1 | 0 | 155 | 0 | 164 |
0 | 0 | 155 | 1 | 165 |
A. Construct a grouped frequency distribution with interval widths of 3 for both risky behaviors and mental health needs. Include frequencies, cumulative frequencies, percentages, and cumulative percentages.
Risky Behavior
Score | Frequency | Cumulative Frequency | Percentage (to 2 decimal places) | Cumulative Percentage (to 2 decimal places) |
Mental Health Needs
Score | Frequency | Cumulative Frequency | Percentage (to 2 decimal places) | Cumulative Percentage (to 2 decimal places) |
B. What percentage of youth scored 7 or higher on risky behaviors? What percentage of youth scored 6 or lower on mental health?
C. What is the mean and the median of both variables?
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