The table below shows the scores of a group of students on a 10-point quiz.
Test Score Frequency
3 1
4 1
5 2
6 3
7 1
8 1
9 1
10 4
The mean score on this test is:
The median score on this test is:
Adding up the frequency gives you the total number of students
mean = (3*1 + 4*1 + 5*2 + ..... + 9*1 +10*4)/(total number of students)
The median is the score in the middle
since you have an even number with 14 students, add the 7th and the 8th scores and divide by 1
typo in last line, must have hit the wrong key, should say :
... add the 7th and the 8th scores and divide by 2
To find the mean score, we need to multiply each test score by its corresponding frequency, sum up all the scores, and then divide by the total number of students.
Calculating the mean score:
(3*1) + (4*1) + (5*2) + (6*3) + (7*1) + (8*1) + (9*1) + (10*4) = (3 + 4 + 10 + 18 + 7 + 8 + 9 + 40) = 99
Now, let's find the total number of students:
1 + 1 + 2 + 3 + 1 + 1 + 1 + 4 = 14
The mean score is found by dividing the sum of all the scores by the total number of students:
Mean score = 99 / 14 = 7.07 (rounded to two decimal places)
So, the mean score on this test is approximately 7.07.
To find the median score, we need to arrange the test scores in numerical order, and then find the middle value.
Arranging the test scores in numerical order:
3, 4, 5, 5, 6, 6, 6, 7, 8, 9, 10, 10, 10, 10
The total number of students is 14, which is an even number. In this case, the median is the average of the two middle values.
The two middle values are 6 and 7.
Median score = (6 + 7) / 2 = 6.5
So, the median score on this test is 6.5.
To find the mean score on the test, you need to calculate the sum of all the scores and divide it by the total number of scores.
To begin, multiply each score by its respective frequency.
For example:
3 x 1 = 3
4 x 1 = 4
5 x 2 = 10
6 x 3 = 18
7 x 1 = 7
8 x 1 = 8
9 x 1 = 9
10 x 4 = 40
Next, add up all these products:
3 + 4 + 10 + 18 + 7 + 8 + 9 + 40 = 99
Now, find the total number of scores by adding up the frequencies:
1 + 1 + 2 + 3 + 1 + 1 + 1 + 4 = 14
Finally, divide the sum of the scores (99) by the total number of scores (14) to get the mean score:
99 / 14 = 7.07
Therefore, the mean score on the test is approximately 7.07.
To find the median score, first you need to arrange all the scores in ascending order. In this case, the scores are already listed in ascending order.
Count the total number of scores, which is 14.
Since the number of scores is even, you need to find the average of the two middle numbers. The middle numbers, when arranged in ascending order, are the 7th and the 8th scores.
The 7th score is 6 and the 8th score is also 6.
Therefore, the median score on the test is 6.