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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

Answer :

bhuvna789456

The answer from the given option is The mean study time of students in class B is less than the students in class A.

Explanation:

  • Mean is defined as the ratio of the sum of the given terms to the number of the given terms. (i.e. sum divided by the count). In short, it is the average of the number.

There are three types of mean:

  1. Arithmetic mean(AM),
  2. Geometric mean(GM)
  3. Harmonic mean(HM).

Here in class A,  

  Mean in class A = (2+5+7+6+4+3+8+7+4+5+7+6+3+5+4+2+4+6+3+5) / 20

                                = 4.8.

  Mean in class B = (3+7+6+4+3+2+4+5+6+7+2+2+2+3+4+5+2+2+5+6) / 20

                                = 4.

Hence mean study time of class B is less than the mean study time of class A.

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