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This case study examines the application of z-scores in analyzing Christine Wilder's academic performance and behavioral issues. By tracking the vocabulary words learned and the demerits received, we demonstrated that raw data can obscure relationships. After converting the data to z-scores, clear patterns emerged that helped identify the central problems affecting Christine's success. Additionally, we explore the Wilsons' marital counseling through z-scores, highlighting how these statistical measures can clarify complex relationships in social work scenarios.
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Christine Wilder Chris was referred to a social worker because of serious behavioral problems. The frustration of her lack of academic success was identified as the central problem. She was given special attention to improve her vocabulary. Each day, the new words she learned were recorded: 8,9,6,20,21,22,23,23, 30,31,29,40,63,66,98,101,121,121,123,129,141,151,149,152,152,159,161,176,188. Within the same timeframe, she received the following demerits: 12,11,13,14,12,13,11,12,13,14,10,10,11, 8,7,9,8,9,8,8,7,9,7,6,6,6,7,4,5,4.3,3,3,3,3,3,3,2,4,2,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0. Following is how a graph would appear with the raw data
The relationship between the vocabulary words and demerits is unclear. However, once we convert the data to z-scores, a clear pattern emerges.
The Wilsons are seeing a clinical social work because of marital problems. Three issues were identified: Marital Scale: Scores 0 to 20 Parental Control: Scores 0 to 100% Motivation: Scores 0 to infinity See how z-scores help? What do you see?
