A group of people estimate the number of Blue m&m's in a large jar. They each take a sample of 20 m&m's and count the number of blue m&m's before returning them to the jar. Here is the data from the samples:Number of Blue m&m's Number of Samples4 25 56 97 78 39 110 211 1What percent of samples had from 5 to 8 blue m&m's? Round to the nearest tenth of a percent.
Question
A group of people estimate the number of Blue m&m's in a large jar. They each take a sample of 20 m&m's and count the number of blue m&m's before returning them to the jar. Here is the data from the samples:Number of Blue m&m's Number of Samples4 25 56 97 78 39 110 211 1What percent of samples had from 5 to 8 blue m&m's? Round to the nearest tenth of a percent.
Solution
To find the percentage of samples that had from 5 to 8 blue M&M's, we first need to find the total number of samples and the number of samples that had between 5 and 8 blue M&M's.
From the data, we can see that the number of samples that had 5, 6, 7, or 8 blue M&M's are 5, 9, 7, and 3 respectively. So, we add these numbers together to get the total number of samples that had between 5 and 8 blue M&M's:
5 + 9 + 7 + 3 = 24
Next, we find the total number of samples. We add up all the numbers in the "Number of Samples" column:
2 + 5 + 9 + 7 + 3 + 1 + 2 + 1 = 30
Now we can find the percentage of samples that had between 5 and 8 blue M&M's. We divide the number of samples that had between 5 and 8 blue M&M's by the total number of samples, and then multiply by 100 to convert the decimal to a percentage:
(24 / 30) * 100 = 80%
So, 80% of the samples had between 5 and 8 blue M&M's. Rounded to the nearest tenth of a percent, this is 80.0%.
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