Answer:
The mean: 6.53
The median: 7
Explanation:
To find the mean we average over all the test scores.
The average is defined as
Sum of all data points / total number of data points.
In our case, the data points are the scores.
From the frequency table, we first multiply each score by its frequency. Next, we sum all the numbers in the frequency column. Doing this we get
[tex]3\times1+4\times2+5\times4+6\times0+7\times2+8\times3+9\times1+10\times2=98[/tex]
Next, we sum all the numbers under the frequency table.
[tex]1+2+4+0+2+3+1+2=15[/tex]
Therefore, the average is (rounded to the nearest hundredth)
[tex]\frac{98}{15}=6.53[/tex]
Next, we find the median.
To find the median, we arrange the numbers from least to greatest with their frequencies.
[tex]3,4,4,5,5,5,5,7,7,8,8,8,9,10,10[/tex]
The median is the middle number. In this case, the 8th number to the left is the median of the data set.
Hence, the median of the data set is 7.
To summerise:
The mean: 6.53
The median: 7
