Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options
This research explores the results that an examinee would obtain if taking a multiple-choice questions test in which they have doubts as to what the true answer is among different options. This problem is analyzed by making use of combinatorics and analytical and sampling methodologies. The Spanish...
Main Authors: | , , , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2022-12-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/10/23/4543 |
_version_ | 1797462727352909824 |
---|---|
author | Fernando Sánchez Lasheras José Curbelo Jaime Baladrón Romero Alberto García Guerrero Carmen Peñalver San Cristóbal Tomás Villacampa Paula Jiménez Fonseca |
author_facet | Fernando Sánchez Lasheras José Curbelo Jaime Baladrón Romero Alberto García Guerrero Carmen Peñalver San Cristóbal Tomás Villacampa Paula Jiménez Fonseca |
author_sort | Fernando Sánchez Lasheras |
collection | DOAJ |
description | This research explores the results that an examinee would obtain if taking a multiple-choice questions test in which they have doubts as to what the true answer is among different options. This problem is analyzed by making use of combinatorics and analytical and sampling methodologies. The Spanish exam through which doctors become medical specialists has been employed as an example. Although it is difficult to imagine that there are candidates who respond randomly to all the questions of such an exam, it is common that they may doubt over what the correct answer is in some questions. The exam consists of a total of 210 multiple-choice questions with 4 answer options. The cut-off mark is calculated as one-third of the average of the 10 best marks in the exam. According to the results obtained, it is possible to affirm that in the case of doubting over two or three of the four possible answers in certain group questions, answering all of them will in most cases lead to obtaining a positive result. Moreover, in the case of doubting between two answer options in all the questions of the MIR test, it would be possible to exceed the cut-off mark. |
first_indexed | 2024-03-09T17:40:46Z |
format | Article |
id | doaj.art-7d578a91c59e4260a4425df2b74f8c0a |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-09T17:40:46Z |
publishDate | 2022-12-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj.art-7d578a91c59e4260a4425df2b74f8c0a2023-11-24T11:35:21ZengMDPI AGMathematics2227-73902022-12-011023454310.3390/math10234543Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different OptionsFernando Sánchez Lasheras0José Curbelo1Jaime Baladrón Romero2Alberto García Guerrero3Carmen Peñalver San Cristóbal4Tomás Villacampa5Paula Jiménez Fonseca6Faculty of Sciences, University of Oviedo, 33007 Oviedo, SpainFaculty of Medicine, University Francisco de Vitoria, 28223 Pozuelo de Alarcón, SpainCursos Intensivos MIR Asturias, c/Quintana, 11A, 1, 33009 Oviedo, SpainCursos Intensivos MIR Asturias, c/Quintana, 11A, 1, 33009 Oviedo, SpainCursos Intensivos MIR Asturias, c/Quintana, 11A, 1, 33009 Oviedo, SpainClínica Oftalmológica Villacampa, c/La Cámara, 15, 33401 Avilés, SpainMedical Oncology Service, Hospital Universitario Central de Asturias, Avenida Roma, 33011 Oviedo, SpainThis research explores the results that an examinee would obtain if taking a multiple-choice questions test in which they have doubts as to what the true answer is among different options. This problem is analyzed by making use of combinatorics and analytical and sampling methodologies. The Spanish exam through which doctors become medical specialists has been employed as an example. Although it is difficult to imagine that there are candidates who respond randomly to all the questions of such an exam, it is common that they may doubt over what the correct answer is in some questions. The exam consists of a total of 210 multiple-choice questions with 4 answer options. The cut-off mark is calculated as one-third of the average of the 10 best marks in the exam. According to the results obtained, it is possible to affirm that in the case of doubting over two or three of the four possible answers in certain group questions, answering all of them will in most cases lead to obtaining a positive result. Moreover, in the case of doubting between two answer options in all the questions of the MIR test, it would be possible to exceed the cut-off mark.https://www.mdpi.com/2227-7390/10/23/4543decision makingmultiple-choice testcombinatoricssimulationeducationtest performance |
spellingShingle | Fernando Sánchez Lasheras José Curbelo Jaime Baladrón Romero Alberto García Guerrero Carmen Peñalver San Cristóbal Tomás Villacampa Paula Jiménez Fonseca Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options Mathematics decision making multiple-choice test combinatorics simulation education test performance |
title | Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options |
title_full | Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options |
title_fullStr | Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options |
title_full_unstemmed | Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options |
title_short | Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options |
title_sort | answering multiple choice questions in which examinees doubt what the true answer is among different options |
topic | decision making multiple-choice test combinatorics simulation education test performance |
url | https://www.mdpi.com/2227-7390/10/23/4543 |
work_keys_str_mv | AT fernandosanchezlasheras answeringmultiplechoicequestionsinwhichexamineesdoubtwhatthetrueanswerisamongdifferentoptions AT josecurbelo answeringmultiplechoicequestionsinwhichexamineesdoubtwhatthetrueanswerisamongdifferentoptions AT jaimebaladronromero answeringmultiplechoicequestionsinwhichexamineesdoubtwhatthetrueanswerisamongdifferentoptions AT albertogarciaguerrero answeringmultiplechoicequestionsinwhichexamineesdoubtwhatthetrueanswerisamongdifferentoptions AT carmenpenalversancristobal answeringmultiplechoicequestionsinwhichexamineesdoubtwhatthetrueanswerisamongdifferentoptions AT tomasvillacampa answeringmultiplechoicequestionsinwhichexamineesdoubtwhatthetrueanswerisamongdifferentoptions AT paulajimenezfonseca answeringmultiplechoicequestionsinwhichexamineesdoubtwhatthetrueanswerisamongdifferentoptions |