statistics

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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