The table below shows the scores of a group of students on a 10-point quiz.
Test Score Frequency
3 0
4 2
5 2
6 1
7 2
8 3
9 0
10 4
The mean score on this test is: 6.5
The median score on this test is: 7.5
There are 14 students
7 got less than 7.5 and 7 got more than 7.5 so 7.5 is median
for mean
2(4)+2(5)+1(6)+2(7)+3(8)+4(10) =102
102/14 = 7.3
whers the whole test answers
what is the test ansers?
To find the mean score on the test, you need to calculate the sum of all the scores and divide it by the number of students.
First, you multiply each test score by its corresponding frequency. In this case:
3 * 0 = 0
4 * 2 = 8
5 * 2 = 10
6 * 1 = 6
7 * 2 = 14
8 * 3 = 24
9 * 0 = 0
10 * 4 = 40
Next, you add up all these products:
0 + 8 + 10 + 6 + 14 + 24 + 0 + 40 = 102
Finally, you divide this sum by the total number of students, which is the sum of all the frequencies:
0 + 2 + 2 + 1 + 2 + 3 + 0 + 4 = 14
Dividing the sum by the number of students gives us:
102 / 14 = 7.2857
Rounding this to one decimal place gives us a mean score of 7.3 (approximately).
Now let's find the median score.
The median is the middle value when the scores are arranged in ascending order. In this case, we have a total of 14 scores.
First, we arrange the scores in ascending order:
4, 4, 5, 5, 6, 7, 7, 8, 8, 8, 10, 10, 10, 10
As there are 14 scores, the middle value would be the 7th score. In this case, the 7th score is 7.
However, we also have another score after the middle one, which is the 8th score. In this case, the 8th score is 7.
Since we have two middle values, the median would be the average of these two values:
(7 + 7) / 2 = 7.5
Therefore, the median score on this test is 7.5.