CENEVAL is a civil association, whose main activity is the design and application of instruments for the evaluation of knowledge, skills and competences, as well as the analysis and dissemi

CENEVAL is a non-profit civil association, whose main activity is the design and application of instruments for the evaluation of knowledge, skills and competences, as well as the analysis and dissemination of the results of the tests, including the EXANI II, this is the admission exam applied by most public universities in Mexico, in order to identify the best candidates in the admission process.

CENEVAL is interested in knowing the performance based on certain criteria for this exam so they decide to obtain a random sample of 1,000 applicants.

The data collected were:

1. Gender: female or hombre
2. Groups: if students are separated according to the 5 versions of exam A, B, C, D and E, they are supposed to have the same level of complexity.
3. Parent education: educational level of their parents.
4. Lunch: the type of lunch you had before applying
5. Preparation course: informs if the student completed a preparation course, before (or not).
6. Math Score: Math Scores
7. Reading score: Reading area scores
8. Writing score: The scores of the writing area.

This sample is made to their team of statesmen (of which they are part), with a series of requirements to describe and analyze their population. The requirements are as follows:

1. Create a table that contains the frequency and percentage of:
   1. Gender
   2. Groups
   3. Parent Education
   4. Lunch
   5. Preparation course

1. Create graphs for point 1, from the percentages. They may be graphs of bars or cake.
2. Develop a histogram and warhead for all three areas of the exam.
3. Identify, through a graph of boxes and whiskers, outliers for the three areas of the exam.
4. Setting which variable contains more atypical valores. Justify the answer.
5. Create a chart of boxes and whiskers of the math score variable, but, grouped by gender, so that they can observe the result of both genders in the same scheme and answer Which of the most outliers reflects? Are the quartiles different? Si are, explain why
6. Determine the measures of dispersion and shape for the three areas of the exam, to answer Which of them has more variation?
7. Determine, by gender, the variation and standard deviation of the three areas of the exam, to answer Who varies more and in what score? Who varies less and in what score?
8. The following table was created from gender, groups and breakfast type, to know how many students consumed standard and subsidy breakfasts. Create a joint probability table.

Genero Grupo A Grupo B Grupo C Grupo D Grupo E Total Mujer 40 91 170 118 55 474 Estandar 24 57 114 76 37 308 Subsidio 16 34 56 42 18 166 Hombre 33 92 182 133 86 526 Estandar 24 57 116 76 56 329 Subsidio 9 35 66 57 30 197 Total 73 183 352 251 141 1000Genero Grupo A Grupo B Grupo C Grupo D Grupo E Total Mujer 2 11 27 16 14 70 Estandar 2 9 26 15 12 64 Subsidio 2 1 2 6 Hombre 16 38 32 39 133 Estandar - 00 15 33 24 28 107 Subsidio 1 5 8 11 26 Total 10 27 65 48 53 203Educacion de padres Grupo A Grupo B Grupo C Grupo D Grupo E Total Bachillerato 6 17 13 12 49 Maestria 3 5 3 2 14 Preparatoria 6 14 11 12 46 Secundaria w 13 9 9 35 w - Secundaria Tecnica 5 8 2 6 24 Universidad 4 8 10 12 35 Total 10 27 65 48 53 203Rango de Numero de examenes de lectura Numero de examenes de escritura puntuacion 99 - 100 76 76 80 - 89 148 148 70 - 79 233 233 60 - 69 251 251 50 - 59 191 191 40 - 49 71 71 26 - 39 30 30 Total 1000 1000