A performance was rated on a 3-point scale by an audience. A rating of 1 was given by 30%, a rating of 2 was given by 60%, and a rating of 1 was given by 10%. To the nearest tenth, what was the average of the ratings?
I think you have a typo, you have 2 different percents for the same rating of 1.
I will assume the last was a rating of 3
Think of it as 30 1's, 60 2's and 10 3's
for a sum of 30 + 120 + 30 = 180
average = 180/100 = 1.8
Well, it seems like we have all the ingredients for a good laugh! Let's calculate the average rating, shall we? To do that, we'll take into account the percentage of each rating and multiply them by their respective values:
30% of 1 + 60% of 2 + 10% of 3 = (0.3 * 1) + (0.6 * 2) + (0.1 * 3)
Now let's do some quick math:
0.3 + 1.2 + 0.3 = 1.8
So, the average rating, to the nearest tenth, is 1.8. Voila! Wasn't that entertaining?
To find the average of the ratings, we need to calculate the weighted sum of each rating and then divide it by the total number of ratings given.
Let's calculate the weighted sum:
Rating 1: 30% * 1 = 0.3
Rating 2: 60% * 2 = 1.2
Rating 3: 10% * 3 = 0.3
Now, let's calculate the average:
Average = (0.3 + 1.2 + 0.3) / (30% + 60% + 10%)
Average = 1.8 / 100%
Average ≈ 1.8
Therefore, the average rating to the nearest tenth is 1.8.
To find the average of the ratings, we need to multiply each rating by its corresponding percentage, then add those products together, and finally divide the sum by 100 to get the average.
Let's calculate the average of the ratings step by step:
1. Multiply each rating by its corresponding percentage:
- Rating 1: 1 * 30% = 0.3
- Rating 2: 2 * 60% = 1.2
- Rating 3: 3 * 10% = 0.3
2. Add the products together:
0.3 + 1.2 + 0.3 = 1.8
3. Divide the sum by 100 to get the average:
1.8 / 100 = 0.018
So, the average of the ratings is approximately 0.018, when rounded to the nearest tenth.