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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

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

  1. Make 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 values. Justify the answer.
  5. Make 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?

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