than 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: \( \square \) 25.57 Part 2 of 4 Find the median. Median: \( \square \) 25.20 Alternate Answer: Median: 25.2 Part 3 of 4 Find the mode(s). If there is more than one mode, separate them with commas. Select "None" if applicable. Mode(s): \( \square \) Part: 3 / 4 Part 4 of 4 Find the midrange. Midrange: \( \square \)

To find the mean, median, mode, and midrange for the given data, we can follow these steps: 1. Find the mean: - Calculate the sum of all the numbers. - Divide the sum by the total number of values to get the mean. - Round the mean to one more decimal place than the data as needed. 2. Find the median: - Arrange the numbers in ascending order. - If the total number of values is odd, the median is the middle value. - If the total number of values is even, the median is the average of the two middle values. 3. Find the mode(s): - The mode is the number that appears most frequently in the data. - If there are multiple modes, separate them with commas. 4. Find the midrange: - The midrange is the average of the smallest and largest values in the data. Let's calculate these values step by step. Calculate the value by following steps: - step0: Calculate: \(\frac{\left(36.7+11.4+8.6+16.8+42.2+33.7+25.1+4.4+51.5+25.3\right)}{10}\) - step1: Remove the parentheses: \(\frac{36.7+11.4+8.6+16.8+42.2+33.7+25.1+4.4+51.5+25.3}{10}\) - step2: Add the numbers: \(\frac{255.7}{10}\) - step3: Convert the expressions: \(\frac{\frac{2557}{10}}{10}\) - step4: Multiply by the reciprocal: \(\frac{2557}{10}\times \frac{1}{10}\) - step5: Multiply the fractions: \(\frac{2557}{10\times 10}\) - step6: Multiply: \(\frac{2557}{100}\) The mean of the given data is 25.57. Now, let's find the median: 1. Arrange the numbers in ascending order: 4.4, 8.6, 11.4, 16.8, 25.1, 25.3, 33.7, 36.7, 42.2, 51.5 2. Since the total number of values is even, the median is the average of the two middle values: Median = (25.1 + 25.3) / 2 = 25.2 Therefore, the median is 25.2. Next, let's find the mode(s): 1. The mode is the number that appears most frequently in the data. In this case, there is no number that appears more than once, so the mode is "None". Finally, let's find the midrange: 1. The midrange is the average of the smallest and largest values in the data. Midrange = (4.4 + 51.5) / 2 = 27.95 Therefore, the midrange is 27.95.