in a class of 6 students average weight of the 5 lightest students is 30 kgs . average weight of 5 heaviest students is 35 kgs. what is the differnce between the maximim and minimum possible average weight overall.
Question
in a class of 6 students average weight of the 5 lightest students is 30 kgs . average weight of 5 heaviest students is 35 kgs. what is the differnce between the maximim and minimum possible average weight overall.
Solution
To find the difference between the maximum and minimum possible average weight overall, we need to consider two scenarios:
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Maximum possible average weight: This would occur if the heaviest student is much heavier than the others. In this case, the total weight of the class would be (5 students * 35 kg/student) + (1 student * a lot of kg). The average would then be this total divided by 6. Since we don't know the exact weight of the heaviest student, we can't calculate a specific maximum average. However, we know it would be more than 35 kg.
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Minimum possible average weight: This would occur if the lightest student is much lighter than the others. In this case, the total weight of the class would be (5 students * 30 kg/student) + (1 student * very few kg). The average would then be this total divided by 6. Since we don't know the exact weight of the lightest student, we can't calculate a specific minimum average. However, we know it would be less than 30 kg.
Therefore, the difference between the maximum and minimum possible average weight overall would be more than 5 kg (35 kg - 30 kg), but the exact amount can't be determined without more information.
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