Zscores
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John took exams in 5 subjects: Mathematics, Science, Filipino, History, and English. The document provides John's grades in each subject, the class mean and standard deviation for each subject, and calculates John's z-scores and t-scores for each subject based on the class statistics. John scored highest in Filipino and History and lowest in Science.
Zscores
- 1. Johns Examination Results in 5 subjects are follows:<br />SubjectMeanStandard DeviationJohns GradeMathematics868.592Science841081Filipino906.593History92794English85988<br />Z-SCORES<br />Math: z = 92 86 = 0.71<br />8.5<br />Science: z 81 84 = -0.3<br />10<br />Filipino: z 93 - 90 = 0.46<br />6.5<br />History: z 94 - 90 = 0.57<br /> 7<br />English: z 88 85 = 0.33<br />9<br />T-SCORES<br />Math: t= 10 (.71) +50= 57.1<br />Science: t= 10 (-.3) + 50= 20<br />Filipino: t= 10 (.46) + 50= 54.6<br />History: t= 10 (.57) + 50= 55.7<br />English: t= 10 (0.33) + 50= 53.3<br />