A primatologist records vocalizations from three groups of howler monkeys. Group A produces 48 calls per hour, Group B produces 36 calls per hour, and Group C produces 60 calls per hour. She records for 2.5 hours. What is the average number of calls per hour across all groups during the entire recording period?
["Title: Analyzing Howler Monkey Vocalizations: Average Calls Per Hour Across Three Groups", "Studying howler monkeys offers fascinating insights into their communication, social behavior, and ecological impact. A recent primatological study recorded vocalizations from three distinct groups of howler monkeys—Group A, Group B, and Group C—with varying call rates. Understanding the combined vocal activity provides researchers with valuable data on group behavior and habitat use.", "In this study, the primatologist observed:", "- Group A produces 48 calls per hour\n- Group B produces 36 calls per hour\n- Group C produces 60 calls per hour", "She recorded vocalizations continuously for 2.5 hours from each group. To determine the overall average number of calls per hour across all groups, we need to calculate the total calls recorded and divide by the total observation time.", "### Total Calls Recorded", "First, find the total calls recorded from each group:", "- Group A:\n ( 48 \ ext{ calls/hour} \ imes 2.5 \ ext{ hours} = 120 \ ext{ calls} )\n- Group B:\n ( 36 \ ext{ calls/hour} \ imes 2.5 \ ext{ hours} = 90 \ ext{ calls} )\n- Group C:\n ( 60 \ ext{ calls/hour} \ imes 2.5 \ ext{ hours} = 150 \ ext{ calls} )", "Total calls across all groups:\n( 120 + 90 + 150 = 360 \ ext{ calls} )", "### Total Recording Time", "The primatologist recorded for 2.5 hours per group and three groups:\n( 3 \ imes 2.5 = 7.5 \ ext{ hours} )", "### Average Calls Per Hour", "Now, compute the overall average vocalizations per hour:", "[\n\ ext{Average calls per hour} = \frac{\ ext{Total calls}}{\ ext{Total recording time}} = \frac{360}{7.5} = 48\n]", "### Conclusion", "The average number of howler monkey calls recorded across all three groups—Group A, B, and C—during the 2.5-hour observation period is 48 calls per hour. This figure offers a benchmark for comparing vocal activity and supports deeper analysis into how environmental factors or social dynamics influence communication across primate groups.", "Understanding these patterns helps conservationists and behavioral ecologists monitor howler monkey populations and interpret changes in their natural habitats.", "---", "Keywords: howler monkey vocalizations, primatologist recordings, group A calls, group B calls, group C calls, average calls per hour, primate communication study, behavioral ecology, animal vocalization research."]
