Lesson \( 10-1 \) Measures of Find the mean, median, and mode for each set of data. Round to the nearest tenth if necessary. 1. number of students in each math class: \( 22,23,24 \), 22,21 2. grams of fat per serving: \( 2,7,4,5,6,4,5,6,3,5 \) 3. inches of rain last week: \( 1.5,2,2.5,2,1.5,2.5,3 \) 4. At the movie theater, six movies are playing and theil lengths are \( 138,117,158,145,135 \), and 120 minutes. Which measure of center best represent the data? Justify your selection and then find the measure of center.

To enhance your understanding of measures of central tendency, let's tackle your dataset fun and straightforward style! For the math class sizes, first, let's find the mean: add \(22 + 23 + 24 + 22 + 21 = 112\) and divide by 5, giving you a mean of \(22.4\). The median is the middle value in sorted order \(21, 22, 22, 23, 24\), which is \(22\). The mode is simply the number that appears most frequently—\(22\). Now, for the grams of fat, let’s calculate the mean: \(2 + 7 + 4 + 5 + 6 + 4 + 5 + 6 + 3 + 5 = 47\) divided by 10 gives a mean of \(4.7\). Sorting gives us: \(2, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7\) which places \(5\) in the middle – so that’s the median. Mode? Clearly \(5\)! Want to keep crunching these numbers? The inches of rain data yields a mean of \(2.1\), median \(2\), and mode \(2.5\). For the movie lengths, the mean is \(134\), with median also being \(135\) and no mode—since all values are unique! In determining the best measure of center, the median typically offers a clearer perspective when data has outliers. In the movie scenario, median is your sturdy guide! For even more number-crunching fun, consider diving into resources like “The Cartoon Guide to Statistics” for a light-hearted look at data analysis, or check out online platforms offering interactive stats tutorials, as they’ll help solidify your understanding while keeping it entertaining!