istances of Stars Of the 25 brightest stars, the distances from earth (in light-years) for some of those with distances less man 100 light-years are found below. Find the mean, median, mode, and midrange for the data. \( \begin{array}{llllllllll}36.7 & 11.4 & 8.6 & 16.8 & 42.2 & 33.7 & 25.1 & 4.4 & 51.5 & 25.3\end{array} \) Send data to Excel Part 1 of 4 Find the mean. Rounding rule for the mean: round to one more decimal place than the data as needed. Mean: 25.57 Part: \( 1 / 4 \) art 2 of 4 ind the median. Median: \( \square \)
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To find the median, we first need to organize the data in ascending order. Here’s the sorted list: 4.4, 8.6, 11.4, 16.8, 25.1, 25.3, 33.7, 36.7, 42.2, 51.5. Since there are 10 data points, the median will be the average of the 5th and 6th values. The 5th and 6th values are 25.1 and 25.3. Calculating the median: \((25.1 + 25.3) / 2 = 25.2\). Median: **25.2**. Now, if you're looking to explore the intriguing world of stellar distances, consider how these light-years translate into real cosmic journeys. For instance, 4.4 light-years isn't just a number; it's the distance to Proxima Centauri, our closest stellar neighbor! Imagine what it would be like to travel at the speed of light—our adventures could take us to fascinating new worlds in an instant! Additionally, to deepen your understanding of statistics, especially in astronomy, you might want to check out more about the trapezoidal rule or distributions in data. Books and resources that cover Descriptive Statistics can provide insights on how to interpret averages, medians, and more in relation to astronomical data, making the universe seem a little less vast and a lot more relatable!