Question

select the correct answer.

twenty students in class a and 20 students in class b were asked how many hours they took to prepare for an exam. the data sets represent their answers.

class a: \\{2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5\\}
class b: \\{3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6\\}

which statement is true for the data sets?

• the mean study time of students in class a is less than students in class b.
• the mean study time of students in class b is less than students in class a.
• the median study time of students in class b is greater than students in class a.
• the range of study time of students in class a is less than students in class b.
• the mean and median study time of students in class a and class b is equal.

Explanation:

Calculate the mean and range for Class A

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Calculate the mean and range for Class B

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Compare the calculated statistics with the options

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Answer:

• The mean study time of students in Class A is less than students in Class B.
• The mean study time of students in Class B is less than students in Class A. (Correct answer)
• The median study time of students in Class B is greater than students in Class A.
• The range of study time of students in Class A is less than students in Class B.
• The mean and median study time of students in Class A and Class B is equal.