8. A team of Middle School students are preparing for Science Olympiad competition. They made catapult and tried its efficiency by measuring how far it flung marshmallows. This box plot shows the results. Marshmallow distance (in.) H 0 20 40 60 80 100 What fraction of marshmallows landed less than 30 inches away?

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**Middle School Science Olympiad: Catapult Efficiency**

A team of Middle School students is preparing for a Science Olympiad competition. They engineered a catapult and tested its efficiency by measuring how far it could fling marshmallows. The results are depicted in the box plot below.

**Box Plot Details: Marshmallow Distance (inches)**

- **Range:** The minimum value (smallest distance flung) is approximately 10 inches, and the maximum value (largest distance flung) is around 75 inches.
- **Interquartile Range (IQR):** The box spans from roughly 25 to 60 inches.
- **Median (Q2):** The median distance is around 45 inches, indicated by the line inside the box.

**Question:**
What fraction of marshmallows landed less than 30 inches away?

The box plot provides visual insights into the distribution of distances. To interpret the fraction:
- The left edge of the box represents the 25th percentile (Q1), which is around 25 inches.
- The median (middle line of the box) is at 45 inches.

Considering the distribution, approximately 25% of the marshmallows landed less than 30 inches away, as the first quartile (Q1) at around 25 inches indicates that 25% of the data falls below this point.

**Summary:**
In this experiment, a quarter (1/4) of the marshmallows landed less than 30 inches away.
Transcribed Image Text:**Middle School Science Olympiad: Catapult Efficiency** A team of Middle School students is preparing for a Science Olympiad competition. They engineered a catapult and tested its efficiency by measuring how far it could fling marshmallows. The results are depicted in the box plot below. **Box Plot Details: Marshmallow Distance (inches)** - **Range:** The minimum value (smallest distance flung) is approximately 10 inches, and the maximum value (largest distance flung) is around 75 inches. - **Interquartile Range (IQR):** The box spans from roughly 25 to 60 inches. - **Median (Q2):** The median distance is around 45 inches, indicated by the line inside the box. **Question:** What fraction of marshmallows landed less than 30 inches away? The box plot provides visual insights into the distribution of distances. To interpret the fraction: - The left edge of the box represents the 25th percentile (Q1), which is around 25 inches. - The median (middle line of the box) is at 45 inches. Considering the distribution, approximately 25% of the marshmallows landed less than 30 inches away, as the first quartile (Q1) at around 25 inches indicates that 25% of the data falls below this point. **Summary:** In this experiment, a quarter (1/4) of the marshmallows landed less than 30 inches away.
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