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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?

A.
The mean study time of students in Class A is less than students in Class B.
B.
The mean study time of students in Class B is less than students in Class A.
C.
The median study time of students in Class B is greater than students in Class A.
D.
The range of study time of students in Class A is less than students in Class B.
E.
The mean and median study time of students in Class A and Class B is equal.


Sagot :

Answer:

  • B.  The mean study time of students in Class B is less than students in Class  A

Step-by-step explanation:

Class A:

{2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}

  • Number = 20
  • Sum = 96
  • Mean = 96/20 = 4.8
  • Range = 8 - 2 = 6

Class B:

{3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}

  • Number = 20
  • Sum = 80
  • Mean = 80/20 = 4
  • Range = 7 - 2 = 5

Correct option is B

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