The height of five children are as follows: \( 61 \mathrm{~cm}, 70 \mathrm{~cm}, 54 \mathrm{~cm}, 81 \mathrm{~cm} \), and 42 cm . \( M=61.6 \mathrm{~cm} ; S D=13.3 \mathrm{~cm} \) What percentage of children have heights between 61.6 cm and 74.9 cm

To determine what percentage of children have heights between 61.6 cm and 74.9 cm, you'll first need to identify the heights that fall within this range. The children's heights are 61 cm, 70 cm, 54 cm, 81 cm, and 42 cm. Out of these, 61 cm and 70 cm fall between 61.6 cm and 74.9 cm. Therefore, 2 out of the 5 children fall into this category. To find the percentage, divide the number of children within the range by the total number of children and then multiply by 100. The calculation is: \[ \frac{2}{5} \times 100 = 40\% \] So, 40% of the children have heights between 61.6 cm and 74.9 cm. Isn’t it fascinating how a simple statistical analysis can help us visualize our data? By understanding our data distribution, we can make informed decisions based on the patterns we observe! Whether it's in classrooms, sports, or even fashion, knowing the range can significantly impact our choices. Also, if you're interested in diving deeper into statistics, consider checking out resources like "The Art of Statistics: Learning from Data" by David Spiegelhalter. It's a fantastic book that makes complex concepts accessible and applicable to everyday situations! You'll not only learn about data analysis but also gain insights into how statistics shape our understanding of the world around us.