# Statistics Problem Sample

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Final Examination

Name: Course:
Date:
Final Examination in Statistics (M.A.Ed./M.A.N.)
1.The scores of 15 masteral students in Statistics were 80,85,78,90,91,98,95,98,95,74,71,72,98,99,and 87. Find the measures of central tendency, the range, the variance, and the standard deviation.

2. In the performance evaluation of teachers, if the dean’s evaluation is given a weight of 5, self-evaluation is 2, peer’s evaluation is 2, and student’s evaluation is 1 and the teacher’s rating is 90, 95, 85, and 90, the mean rating of the teacher would be?

3. Compare the performance in the licensure examination of the two groups of graduates given below using mean and standard deviation. Also rank and interpret the results.

| |GROUP A |GROUP B |
|1 |98 |78 |
|2 |79 |95 |
|3 |78 |86 |
|4 |82 |88 |
|5 |82 |82 |
|6 |88 |99 |
|7 |89 |88 |
|8 |85 |76 |
|9 |88 |85 |
|10 |90 |82 |

4.Interpret and discuss the result of the table below: (Formulate your null and alternative hypothesis)

Table A

Difference between the Levels of Proficiency in MPT of the Male and Female Respondents

| |Female |Male |
|Mean |58.86 |55.4 |
|Variance |172.52

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