An anthropologist analyzes ritual participation in 6 villages. Village A has 200 people, B has 300, C has 150, D has 400, E has 250, and F has 350. She randomly selects one village and then randomly selects 10% of its population for a survey. What is the expected number of people surveyed across all villages?

["Title: Understanding Ritual Participation: An Anthropologist’s Analysis of Survey Expectations Across Six Villages", "Rituals play a vital role in human societies, reinforcing community bonds, cultural identity, and shared beliefs. In recent fieldwork, an anthropologist studied ritual participation across six villages, each with distinct populations, to better understand how such events unfold in diverse settings. The study employed a rigorous sampling strategy: a village was chosen at random, then 10% of its population was surveyed. This article explores the expected number of individuals surveyed across all six villages based on these methods, offering insight into sampling design and cultural engagement.", "### Village Demographics and Sampling Protocol", "The six villages have the following populations:", "- Village A: 200 people\n- Village B: 300 people\n- Village C: 150 people\n- Village D: 400 people\n- Village E: 250 people\n- Village F: 350 people", "The anthropologist randomly selects one village from the six with equal probability (1/6). Once selected, she randomly chooses 10% of the village’s population for the survey. Since 10% is a fixed proportion, this simplifies the expected value calculation per village.", "### Calculating the Expected Number Surveyed Per Village", "Because only 10% of each village’s population is surveyed, the expected number of participants per village is simply:", "[\n\ ext{Expected per village} = 0.10 \ imes \ ext{Population of the village}\n]", "Applying this to each village:", "- Village A: (0.10 \ imes 200 = 20)\n- Village B: (0.10 \ imes 300 = 30)\n- Village C: (0.10 \ imes 150 = 15)\n- Village D: (0.10 \ imes 400 = 40)\n- Village E: (0.10 \ imes 250 = 25)\n- Village F: (0.10 \ imes 350 = 35)", "### Total Expected Number Across All Villages", "Since each village contributes expected survey participants independently, the overall expected number is the sum across all six villages:", "[\n20 + 30 + 15 + 40 + 25 + 35 = 165\n]", "This result reflects a weighted average based on village sizes and uniform randomness in village and participant selection.", "### Interpretation and Anthropological Insight", "The anthropologist’s sampling method balances representativeness and practicality. By randomly picking a village and then uniformly selecting 10% of its members, the study ensures no single village is over- or under-represented. The expected 165 surveyed individuals reflect real-world variability—ranging from intimate gatherings in smaller villages like C (15 participants) to larger-scale participation in D (40).", "These findings highlight how cultural rituals scale across populations. While village size influences raw numbers, equal floor-time sampling preserves insight into communal practices regardless of scale.", "### Conclusion", "An anthropologist analyzing ritual participation across six villages, each with populations from 150 to 400 and a 10% survey rate, expects to survey an average of 165 people. By combining probabilistic sampling with demographic diversity, the study illustrates how thoughtful methodology captures meaningful cultural patterns—bridging qualitative depth with quantitative rigor.", "---", "Keywords: anthropology, ritual participation, village survey, sampling method, expected value, cultural anthropology, population sampling, human rituals, field research, expected number surveyed", "Meta Description: Explore how an anthropologist calculates expected survey participation across six villages of varying sizes using a 10% sampling rate. Learn how randomness and population size shape cultural insights."]