The following are the amounts of total fat (in grams) in different kinds of sweet treats available at your local donut shop.

25	17	21	23	20	15	20	21	24	21
22	25	24	25	19	18	21	15	21	21


(a) What is the mean amount of fat? Round your answer to the nearest tenth, if necessary.



(b) What is the median amount of fat?


Let's solve this step-by-step.

### (a) Mean Amount of Fat:
The mean is calculated by summing all the values and then dividing by the number of values.

The values provided are:

\[
25, 17, 21, 23, 20, 15, 20, 21, 24, 21, 22, 25, 24, 25, 19, 18, 21, 15, 21, 21
\]

Step 1: Sum of all values:

\[
25 + 17 + 21 + 23 + 20 + 15 + 20 + 21 + 24 + 21 + 22 + 25 + 24 + 25 + 19 + 18 + 21 + 15 + 21 + 21 = 408
\]

Step 2: Number of values = 20.

Step 3: Calculate the mean:

\[
\text{Mean} = \frac{408}{20} = 20.4 \, \text{grams}
\]

So, the mean amount of fat is **20.4 grams**.

### (b) Median Amount of Fat:
To find the median, first arrange the data in ascending order:

\[
15, 15, 17, 18, 19, 20, 20, 21, 21, 21, 21, 21, 21, 22, 23, 24, 24, 25, 25, 25
\]

Since there are 20 values, the median will be the average of the 10th and 11th values.

The 10th value is **21** and the 11th value is **21**.

\[
\text{Median} = \frac{21 + 21}{2} = 21
\]

So, the median amount of fat is **21 grams**.

---

Would you like further details or have any questions? Here are some related questions:

1. How do you calculate the mode of this data set?
2. What is the range of fat content in the data?
3. How can we calculate the variance of this data set?
4. What is the standard deviation for the fat content?
5. If we remove the highest value (25), how does the mean change?

**Tip:** When calculating the median in even-sized data sets, always take the average of the two middle values.

The following are the amounts of total fat (in grams) in different kinds of sweet treats available at your local donut shop. 25, 17, 21, 23, 20, 15, 20, 21, 24, 21, 22, 25, 24, 25, 19, 18, 21, 15, 21, 21. (a) What is the mean amount of fat? Round your answer to the nearest tenth, if necessary. (b) What is the median amount of fat?

Discover how to calculate the mean and median of fat content in various sweet treats from your local donut shop. This problem involves statistical concepts and measures of central tendency, making it suitable for students in Grades 6-8. Learn step-by-step solutions with detailed calculations.

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