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Statistical Analysis and Evaluation in Education: Computational Exam

A solved computational exam applying statistical methods to educational evaluation and analysis.

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    Statistical Analysis and Evaluation in Education: Computational Exam Computational Exam Complete the following questions: 1. Frequency Distributions The following are 50 scores on a History examination . 37 39 42 30 38 20 17 16 15 6 25 22 15 25 31 18 21 13 5 11 27 26 26 22 31 15 16 22 17 6 22 27 27 32 17 32 14 12 23 18 28 29 33 28 19 19 34 20 21 29 From these scores, construct a frequency distribution table. Use nine classes, with the first class 0 – 4, and the last 40 – 44 Class Interval tally frequency 40 - 44 l 1. (_1 _)_ 35 - 39 ll l 2. (_3_ )_ 30 - 34 lllll ll 3. (_ 7_ )_ 25 - 29 lllll - l llll l 4. (_11 )_ 20 - 24 ll lll llll 5. (_ 9_ )_ 15 - 19 lllll lllll l l 6. (_ 12 )_ 10 - 14 llll 7. (_4_ )_ 5 - 9 ll l 8. (_3 )_ 0 - 4 9. (_ 0 _)_ 1. From the following scores on two tests, calculate the following values: Test 1 (X): 29, 28, 25, 25, 22, 22, 21, 20, 19, 19 Test 2 (Y): 34, 31, 35, 30, 31, 28, 28, 25, 24, 24 Mean of Test 1 (X) 10. M x = (_ 23 _ ) Mean of Test 2 (Y) 11. M y = (_ 29_ ) 12. Summation of squared deviations scores for Test 1 Σ x2= (_ 116_ ) Summation of squared deviations scores for Test 2 13. Σ y2 = (_138 _) Summation of the product of deviation scores for Test 1 and Test 2 14. Σ xy = (_107_ ) Correlation Coefficient: 15. r = (_ .8457_ ) 1. Twenty students received the following scores on a short quiz: 23, 20, 20, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 15, 14, 13, 13, 12, 12, 18. Calculate the following: 16. Mean= (__ 17_ _) 17. Median=(__ 18_ _) 18. Mode= (__ 18__ ) 19. SD = (__ 3 ____) 20. If this small sample is normally distributed, 68% of the scores should fall between what two values? ______ 14 ________and______ 20 _____________. 1. A student takes examinations in a History course and an English course. The following information is taken from the two tests: History English Student Score 64 80 Mean 54 70 SD 4 10

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