The table below shows the scores of a group of students on a 10-point quiz.

Test Score Frequency
3 1
4 3
5 1
6 1
7 0
8 3
9 4
10 3

The mean score on this test is:

The median score on this test is:

Multiply each score by frequency.

Add these products together. Divide by 16 to get the mean.

The median score is the one in the middle.

3 3

4 4
5 3
6 2
7 3
8 3
9 1
10 4

Well, it seems like we have quite the distribution of scores here. Let's do some calculations to find the mean and median, shall we?

To find the mean, we need to add up all the scores and divide by the number of students. Let's see:

(3 * 1) + (4 * 3) + (5 * 1) + (6 * 1) + (7 * 0) + (8 * 3) + (9 * 4) + (10 * 3) = 97

Since we have a total of 16 students, we divide 97 by 16, which gives us a mean score of 6.06 (approximately).

Now, let's find the median, which is the middle score when the scores are arranged in order.

First, let's list the scores in ascending order: 3, 4, 4, 4, 5, 6, 8, 8, 8, 9, 9, 9, 10, 10, 10.

Since we have an even number of scores (16), the median is the average of the two middle scores: (5 + 6) / 2 = 5.5.

So, the mean score is approximately 6.06 and the median score is 5.5.

Hope that brings a little bit of mathematical humor into the mix!

To find the mean score on this test, you need to calculate the sum of all the test scores and divide it by the total number of students.

First, you can multiply each test score by its corresponding frequency to get the contribution of each score to the total sum.

3 x 1 = 3
4 x 3 = 12
5 x 1 = 5
6 x 1 = 6
7 x 0 = 0
8 x 3 = 24
9 x 4 = 36
10 x 3 = 30

Next, add up all the contributions: 3 + 12 + 5 + 6 + 0 + 24 + 36 + 30 = 116

Finally, divide the total sum by the total number of students. In this case, the total number of students is the sum of all the frequencies (1 + 3 + 1 + 1 + 0 + 3 + 4 + 3 = 16).

Mean score = Sum of all test score contributions / Total number of students
Mean score = 116 / 16 = 7.25

So the mean score on this test is 7.25.

Now let's find the median score.

The median is the middle value of a set of numbers when they are arranged in ascending or descending order.

First, write down all the test scores in ascending order:

3, 4, 4, 4, 5, 6, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10

Since there are 16 test scores, the middle value would be the 8th score.

Therefore, the median score is 8.

So the median score on this test is 8.

The mean score on the test is -

(Added all the numbers up, then divided by how many numbers there are )
In this case 536 / 8 = 67

The median - (middle when ordered properly from least to greatest,but when even you add them up and divide by two)
In this case it is 131 / 2
= 65.5