Question

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.

Answer 1

B

Step-by-step explanation:

I researched the topic

Answer 2

First put all #s in chronological order in their data sets:

Class A Chronological Order:
{2,2,3,3,3,4,4,4,4,5,5,5,5,6,6,6,7,7,7,8}

Class A Mean:
Find center number or the two center numbers in list & divide by 2

5+5= 10 ÷ 2= 5
Class A Mean= 5

Class A Median:
Add all numbers in set, divide by quantity of numbers in set.

2+2+3+3+3+4+4+4+4+5+5+5
+5+6+6+6+7+7+7+8= 96 ÷ 20= 4.8
Class A Median= 4.8

Class B Chronological Order:
{2,2,2,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7}

Class B Mean:
Find center number or the two center numbers in list & divide by 2

4+4= 8 ÷ 2= 4
Class B Mean= 4

Class B Median:
Add all numbers in set, divide by quantity of numbers in set.

2+2+2+2+2+2+3+3+3+4+4+4
+5+5+5+6+6+6+7+7= 80 ÷ 20= 4
Class B Median= 4

True Statement: The mean study time of students in Class B is less than students in Class A

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