Answer:
81.84
Step-by-step explanation:
The mean of a data set is the average value of the set, which in this case is defined as:
[tex]\text{avg} = \dfrac{\text{sum of scores}}{\text{number of students}}[/tex]
Plugging in the given values, we get:
[tex]\text{avg} = \dfrac{5(70) + 9(75) + 5(80) + 6(85) + 6(90) + 2(95) + 4(100)}{5 + 9 + 5 + 6 + 6 + 2 + 4}[/tex]
This evaluates to about:
avg ≈ 81.84
Further Note
Using intuition, we can assess this answer as reasonable because it is fairly close to the mode (the most frequent score), which is 75.
