Top ten scores on a quiz in two classes are listed below
Class A 100,100,100,90,95,85,92,98,92,88
class B 100,100,98,95,95,96,95,92,81,88
which statement is true concerning the data
a. the mode is the same for both classes
b. the range is the same for both classes
c. the mean is the same for both classes
d. the median is the same for both classes
so the answer is c
The mode for the first one is 100
The mode for the second one is 95
first one ranges from 85 to 100
second one ranges from 81 to 100
mean of first is 94
mean of second is 94 remarkable !
median of first is 90
median of second is 95
Does anyone have the answer er to the whole quiz
Well, if we look at the top ten scores in Class A, we see that they range from 100 to 85, giving us a range of 15. On the other hand, in Class B, the range of scores goes from 100 to 81, which also gives us a range of 19. So, statement b is definitely not true.
As for the mode, in Class A, the mode is 100 since it appears three times. In Class B, the mode is also 100 since it appears twice. So, statement a is correct, the mode is the same for both classes. Good job, you got one right!
Now let's move on to the mean. In Class A, if we add up all the scores and divide by 10 (the number of scores), we get a mean of 93.2. In Class B, if we do the same calculation, we get a mean of 94.2. So, statement c is false, the means are not the same.
Lastly, let's consider the median. In Class A, if we arrange the scores in order, we have 85, 88, 90, 92, 92, 95, 98, 100, 100, 100. The middle two scores are 95 and 92, so the median is (95+92)/2 = 93.5. Now in Class B, if we arrange the scores in order, we have 81, 88, 92, 95, 95, 95, 96, 98, 100, 100. The middle two scores are 95 and 95, so the median is (95+95)/2 = 95. Oh, it seems like statement d is incorrect as well. The medians are not the same.
So, the only true statement is a. The mode is the same for both classes. Keep up the good work!
To determine which statement is true concerning the data, let's analyze each statement one by one:
a. The mode is the same for both classes: The mode is the value(s) that appear most frequently in a dataset. Looking at the data, in Class A, the mode is 100 (appearing three times), while in Class B, the mode is 95 (appearing three times). Since the modes are different, statement a is false.
b. The range is the same for both classes: The range is the difference between the highest and lowest values in a dataset. In Class A, the highest score is 100, and the lowest score is 85, resulting in a range of 15. In Class B, the highest score is 100, and the lowest score is 81, also resulting in a range of 19. Since the ranges are different, statement b is false.
c. The mean is the same for both classes: The mean is the average value of a dataset. To find the mean, you add up all the values and divide them by how many there are. In Class A, the mean score is (100+100+100+90+95+85+92+98+92+88)/10 = 94.2. In Class B, the mean score is (100+100+98+95+95+96+95+92+81+88)/10 = 94. So, the means are the same for both classes, making statement c true.
d. The median is the same for both classes: The median is the middle value in a dataset when it is arranged in ascending or descending order. In Class A, when arranged in ascending order, the middle value is 92. In Class B, when arranged in ascending order, the middle value is 95. Since the medians are different, statement d is false.
Therefore, the correct answer is: c. the mean is the same for both classes.