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 ExamComputational ExamComplete the following questions:1.Frequency DistributionsThe following are 50 scores on a History examination.3739423038201716156252215253118211351127262622311516221762227273217321412231828293328191934202129From these scores, construct a frequency distribution table.Use nine classes, with the first class 0–4, and the last 40–44Class Intervaltallyfrequency40-44l1. (_1_)_35-39lll2. (_3_)_30-34lllllll3. (_7_)_25-29lllll-llllll4. (_11)_20-24lllll llll5. (_9_)_15-19llllllllllll6. (_12)_10-14llll7. (_4_)_5-9lll8. (_3)_0-49. (_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, 19Test 2 (Y): 34, 31, 35, 30, 31, 28, 28, 25, 24, 24Mean of Test 1 (X)10.Mx= (_23_)Mean of Test 2 (Y)11.My= (_29_)12.Summation of squared deviations scores for Test 1Σx2= (_116_)Summation of squared deviations scores for Test 213.Σy2 = (_138_)Summation of the product of deviation scores for Test 1 and Test 214.Σxy = (_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.Ifthissmallsampleisnormallydistributed,68%ofthescoresshouldfallbetweenwhattwovalues?______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:HistoryEnglishStudent Score6480Mean5470SD410