An entomologist measures the average length of 50 grasshoppers and finds it to be 8.4 cm. If she adds one more grasshopper measuring 9.6 cm, what is the new average length?

Mon, 04 May 2026 21:05:51 +0000

**An entomologist measures the average length of 50 grasshoppers and finds it to be 8.4 cm. If she adds one more grasshopper measuring 9.6 cm, what is the new average length?**
In a growing conversation around insect ecology and regional biodiversity, a recent measurement project by a leading entomologist has sparked interest. Researchers analyzing local grasshopper populations aim to understand environmental impacts on growth patterns. With 50 grasshoppers averaging 8.4 cm when measured together, adding a single specimen measuring 9.6 cm offers a chance to see how outliers influence average outcomes—something both scientists and nature observers find compelling. Understanding average length isn’t just academic; it reveals subtle shifts in ecosystems tied to climate and habitat. Why does one grasshopper measure nearly a full centimeter longer than the group average? This variation sparks curiosity about differences in development, nutrition, and environmental factors. Rather than sensationalizing results, this focus on natural variation highlights the depth researchers gain through careful sampling. To clarify: the original total length of 50 grasshoppers is 50 × 8.4 = 420 cm. Adding one grasshopper of 9.6 cm brings the new total to 420 + 9.6 = 429.6 cm across 51 insects. Dividing 429.6 cm by 51 gives a new average length of approximately **8.43 cm**. This modest increase reflects how a single variation has a measured but limited influence on group averages—especially in diverse populations. Why does this matter to everyday readers? Grasshoppers play vital roles in agriculture and food webs, and detailed studies like this inform conservation efforts and ecological monitoring. While uncommon to focus on such a narrow measurement, the process reveals broader truths about precision in scientific observation and why small changes count.