A health outreach team visits 5 neighborhoods. The number of people reached in each is: 120, 150, 90, 210, and 180. They plan to expand to a 6th neighborhood and aim for an average of at least 170 people per site. What is the minimum number of people that must be reached in the 6th neighborhood?

A health outreach team visits 5 neighborhoods. The number of people reached in each is: 120, 150, 90, 210, and 180. They plan to expand to a 6th neighborhood and aim for an average of at least 170 people per site. What is the minimum number of people that must be reached in the 6th neighborhood?

["Health Outreach Team Sets Sight to Expand Coverage: Minimum Requirement for 6th Neighborhood Revealed", "A dedicated health outreach team has recently visited five neighborhoods as part of its community health initiative, making meaningful contact with a growing segment of underserved populations. The outreach reaches varying numbers of individuals across these sites: 120, 150, 90, 210, and 180 people. These efforts reflect a commendable commitment to expanding healthcare access across diverse communities.", "Looking ahead, the team aims to strengthen its impact in a sixth neighborhood and is focused on meeting a key target: achieving an average of at least 170 people per outreach site. This goal ensures a consistent and scalable health intervention across all communities served.", "To determine the minimum number of people the team must reach in the sixth neighborhood to meet this average, we calculate based on the desired mean (average) outcome.", "The total number of individuals reached in the first 5 neighborhoods is:\n120 + 150 + 90 + 210 + 180 = 750 people", "Let ( x ) be the number of people reached in the 6th neighborhood. The average reach across 6 sites is:\n[\n\ ext{Average} = \frac{750 + x}{6}\n]", "We require this average to be at least 170:\n[\n\frac{750 + x}{6} \geq 170\n]", "Multiply both sides by 6:\n[\n750 + x \geq 1020\n]", "Solve for ( x ):\n[\nx \geq 1020 - 750 = 270\n]", "Thus, the minimum number of people the outreach team must reach in the 6th neighborhood is 270.", "By reaching at least 270 individuals, the team will achieve its target average and continue delivering equitable health support to new communities with confidence and precision.", "---", "Keywords for SEO:\nhealth outreach team, community health initiative, number of people reached, expand outreach, average metric in outreach, sixth neighborhood health visit, health impact expansion, minimum outreach target, community health goal", "Meta Description:\nA health outreach team has served 120–210 people across five neighborhoods. To achieve an average of 170 people per site after sixth, they must reach at least 270 individuals. Calculate minimum requirement and expansion plan."]

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