College

A 12 oz. can of soda has a mean volume of 12 oz, with a standard deviation of 0.25 oz.

What is the percentile for a soda that only has 11.5 oz.?

A. 3rd percentile
B. 16th percentile
C. 84th percentile
D. 50th percentile

Answer :

Final answer:

The question is about finding the percentile for a soda with a volume of 11.5 oz in a normal distribution with mean and standard deviation provided.


Explanation:

The question is related to the concept of percentiles in statistics. A percentile represents the percentage of data points that are equal to or below a certain value in a given data set. In this case, we have a normal distribution of soda can volumes with a mean of 12 oz. and a standard deviation of 0.25 oz.

To find the percentile for a soda can with a volume of 11.5 oz., we need to calculate the z-score of 11.5 oz. using the formula: z = (x - mean) / standard deviation. Plugging in the values, z = (11.5 - 12) / 0.25 = -2. Therefore, the percentile for a soda can with 11.5 oz. is approximately the same as the percentile of a z-score of -2, which is the 3rd percentile.


Learn more about percentiles here:

https://brainly.com/question/34294377