According to one source, people eat on average 3550 calories per day. If the standard deviation is 325 calories, find the z score for each raw score. Round z scores to at least two decimal places. find the z score corresponding to 2770 calories

The formula to calculate the z-score is:

\[
z = \frac{X - \mu}{\sigma}
\]

Where:
- \( X \) is the raw score (2770 calories in this case),
- \( \mu \) is the mean (3550 calories),
- \( \sigma \) is the standard deviation (325 calories).

Now, substituting the given values:

\[
z = \frac{2770 - 3550}{325} = \frac{-780}{325}
\]

Let's calculate the z-score:

\[
z = -2.40
\]

So, the z-score corresponding to 2770 calories is **-2.40**.

Would you like more details or have any questions?

Here are some related questions for further practice:
1. What is the z-score for 4000 calories?
2. What is the z-score for 3200 calories?
3. If the z-score is 1.2, what is the corresponding raw score?
4. How many calories correspond to a z-score of -1.5?
5. If someone consumes 4500 calories, what is their z-score?

**Tip:** A negative z-score indicates the raw score is below the mean, while a positive z-score indicates it is above the mean.

According to one source, people eat on average 3550 calories per day. If the standard deviation is 325 calories, find the z score for each raw score. Round z scores to at least two decimal places. Find the z score corresponding to 2770 calories.

Learn how to calculate the z-score for a raw score of 2770 calories when the mean is 3550 and the standard deviation is 325. This problem involves the z-score formula used in statistics and is ideal for students in Grades 9-12.

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