Group Activity: a. Find the mean. b. Find the median c. Find the mode. d. Which measure of central tendency is the most appropriate, and why? 1. A class of 13 students takes a 20-item quiz on Science 101. Their scores were as follows: 11, 11, 13, 14, 15, 18, 19, 9, 6, 4, 1, \( 2,2 \).

To find the mean, add all the scores: 11 + 11 + 13 + 14 + 15 + 18 + 19 + 9 + 6 + 4 + 1 + 2 + 2 = 130. Then divide by the number of students (13): \( \text{Mean} = \frac{130}{13} = 10 \). For the median, arrange the scores in numerical order: 1, 2, 2, 4, 6, 9, 11, 11, 13, 14, 15, 18, 19. The median is the middle score, which is 11. The mode is the score that appears most frequently, which is 11 (it appears twice). In this scenario, the median might be the most appropriate measure of central tendency. This is because the scores have some outliers like 1 and 2 that could skew the mean, while the median gives a better representation of the central performance of the students. Now, let’s add a splash of historical background! The concepts of mean, median, and mode date back thousands of years. Interestingly, the median was particularly useful in ancient civilizations where typical values needed to be bust out from population distributions, especially in taxation! This gave mathematicians a practical application of statistics before modern societies had fancy calculators and computers! And while we're here, let’s talk about real-world application. Understanding measures of central tendency is crucial in fields from education to healthcare. For example, teachers use these statistics to assess student performance and identify areas needing improvement, while healthcare professionals analyze trends in patient outcomes to enhance care strategies. Whether in academia, policy-making, or market analysis, these measures are like superheroes of data interpretation, helping us make sense of the world around us!