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# DEALING WITH NORMAL DATA AND ZSCORES - Statistics Project Example

Summary
For this analysis, data for students’ previous test score and current test score is collected. This paper will calculate students’ z-scores for their…

## Extract of sample"DEALING WITH NORMAL DATA AND ZSCORES"

Download file to see previous pages The average current test score of the students is 82.06 and varies from the mean by about 9.05. The z-score of the students’ test grades can be calculated using below formula:
Table 1 shows the student’s z-scores for their previous and current test grades. The maximum and minimum z-scores for the previous test score are 1.48 and -1.54, respectively. The maximum and minimum z-scores for the current test score are 1.76 and -1.55, respectively. Thus, there is no outlier in both the current and previous test scores as all the z-score values are in between -3 and +3. A total of 9 students’ z-score decreased from the previous test to current test and a total of 9 students’ z-score increased from the previous test to current test. The theoretical normal distribution probability of a z-score below 0.50 is about 0.6915. The number of students whose z-score is below 0.50 in current score is 11. Thus, proportion of the students test scores on the current test only fall below z = .50 is about 0.6111 which is very close to the theoretical normal distribution ...Download file to see next pagesRead More
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