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Chapter 12: Problem 45

A sample of cereals indicates a mean potassium content per serving of 93 milligrams and a standard deviation of 2 milligrams. Write a description of what this means for a person who knows nothing about statistics.

Short Answer

Expert verified
On average, a serving of cereals contains 93 milligrams of potassium but the amount may sometimes be slightly more or less.

Step by step solution

01

Understanding the Mean

Start by explaining the term 'mean'. In this case, the mean potassium content is 93 milligrams. This means that, on average, each serving of the cereals contains 93 milligrams of potassium. Put it plainly, if a person consistently consumes the cereals over a period of time, they can expect to consume around 93 milligrams of potassium from each serving.
02

Understanding Standard deviation

Next, it's time to explain 'standard deviation'. The standard deviation for this sample is 2 milligrams. This tells us that the potassium content in the cereals can vary by about 2 milligrams from the mean (around 93) for any given serving. So, while the average potassium content is 93 milligrams, some servings will have a little more than that (up to 95 milligrams), some will have a little less (down to 91 milligrams).
03

Summary

In summary, while on average, a serving of the cereals contains 93 milligrams of potassium, some servings may have up to 95 milligrams or as less as 91 milligrams of potassium. The amount of potassium is not exactly the same in every serving but it doesn't stray very far from 93 milligrams.

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Most popular questions from this chapter

Find the standard deviation for each group of data items. Round answers to two decimal places. \(3,3,3,4,5,5,5\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I'm working with data sets with different means and the same standard deviation.

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