Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below.

Frequency
2
4
6
8
10
12
amount of sugar (mg)
140
150
160
170
180
190
200
210

What is the sample size for this data set?

To find the sample size, we need to add the frequencies corresponding to each sugar amount interval. From the histogram's description, the number of snacks (frequencies) for each sugar amount interval is:

- 140-150 mg: 2 snacks
- 150-160 mg: 6 snacks
- 160-170 mg: 8 snacks
- 170-180 mg: 12 snacks
- 180-190 mg: 10 snacks
- 190-200 mg: 4 snacks
- 200-210 mg: 2 snacks

Now, we sum these frequencies:

\[
2 + 6 + 8 + 12 + 10 + 4 + 2 = 44
\]

Thus, the sample size is **44**.

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

1. How can you calculate the mean sugar amount from the data?
2. What is the median sugar amount in this data set?
3. How can we find the range of the sugar amounts?
4. How does the mode of sugar amounts relate to the histogram?
5. How could you calculate the standard deviation of sugar amounts?

**Tip:** Histograms are useful for identifying the distribution shape and possible skewness in the data.

Learn how to determine the sample size for a dataset using a histogram of sugar content in organic snacks. This problem involves summing frequencies to find the total number of samples. Ideal for students in Grades 6-8 studying basic statistics and data analysis.

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