Answer: 81.6
Step-by-step explanation:
To find the mean of the scores, we need to use the formula:
mean = sum of (score x frequency) / sum of frequency
We can calculate the sum of (score x frequency) by multiplying each score by its frequency and then adding the products. Similarly, we can calculate the sum of frequency by adding the frequencies.
Using the given frequency table, we can calculate the mean as follows:
mean = (70 x 2) + (75 x 8) + (80 x 6) + (85 x 3) + (90 x 9) / (2 + 8 + 6 + 3 + 9)
mean = 140 + 600 + 480 + 255 + 810 / 28
mean = 2285 / 28
mean = 81.607
Rounding the mean to the nearest 10th gives:
mean = 81.6
Therefore, the mean score to the nearest 10th is 81.6.