Question

Test ScoreFrequency31425460728391102The mean score on this test is: The median score on this test is:

Answer 1

Given:

A table showing the scores of the group

To determine the mean score and median score on this test, we first get the total of the values and the number of values as shown below:

`\begin{gathered} Total\text{ of the values}=3(1)+4(2)+5(4)+6(0)+7(2)+8(3)+9(1)+10(2) \\ Calculate \\ Total\text{ of the values}=98 \end{gathered}`

Next, we get the number of values based on the Frequency table:

`Number\text{ of values=1+2+4+0+2+3+1+2=15}`

Then, we use the formula:

`Mean=\frac{Total\text{ of the values}}{Number\text{ of values}}=(98)/(15)=6.53=7`

Now, we solve for the Median by arranging first the scores:

3,4,4,5,5,5,5,7,7,8,8,8,9,10,10

The median is the middle value. So,

3,4,4,5,5,5,5, 7 , 7,8,8,8,9,10,10

Hence, the middle value is 7.

Therefore, the answers are:

Mean score: 7

Median score: 7