In order to calculate the mean, let's sum all values and divide by the amount of numbers:
[tex]\operatorname{mean}=\frac{7+10+6+7+9+\cdots+9+5+7}{30}=\frac{219}{30}=7.3[/tex]
Then, to find the median, let's put the set in crescent order and find the middle term.
Since the set has 30 numbers, the median is the average between the 15th and 16th terms.
So we have:
[tex]\begin{gathered} 4,4,4,5,5,5,5,6,6,7,7,7,7,7,7,7,7,8,8,8,9,9,9,9,9,9,9,10,10,12 \\ \text{median}=\frac{7+7}{2}=7 \end{gathered}[/tex]
The mode of a set is the value that repeats the most.
Looking at the set, the value that repeats the most is 7 (it appears eight times).
Mean = 7.3
Median = 7
Mode = 7
