statistics
15 students were asked to choose between the broad categories of Arts, Science, and Math as their preferred area of study.
Preference Gender Respondent
Arts Female 1
Science Male 2
Math Male 3
Arts Female 4
Math Female 5
Science Male 6
Math Male 7
Math Male 8
Arts Female 9
Arts Male 10
Science Male 11
Science Female 12
Math Female 13
Arts Male 14
Arts Female 15
a) What are the two variables under study? And what are their types?
b) Summarize the above data in a 2×3 table (Contingency table)
c) What charts could be used to display students’ preferences? Justify your answer.
d) Use MS Excel to construct a chart that displays students’ preferences.
A proper chart must contain (title, labels for axes, frequencies, ledgers, percentages….…)
e) If we randomly select one student, find the probability that he or she prefers Math.
f) What is the probability that a randomly chosen student does not prefer Science?
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