The average height of 50 students in class is 182 cm. 40 students whose average height is 182.5 cm left the class and 50 students whose height is 180.5 cm joined the class. Find the average height of the present? Options180.411804.41182.41183.41
Question
The average height of 50 students in class is 182 cm. 40 students whose average height is 182.5 cm left the class and 50 students whose height is 180.5 cm joined the class. Find the average height of the present? Options180.411804.41182.41183.41
Solution
To solve this problem, we need to first find the total height of the 50 students in the class, then adjust for the students who left and joined.
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The total height of the 50 students is 50 * 182 = 9100 cm.
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The total height of the 40 students who left is 40 * 182.5 = 7300 cm.
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The total height of the 50 students who joined is 50 * 180.5 = 9025 cm.
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The total height of the students in the class after the changes is 9100 - 7300 + 9025 = 10825 cm.
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The number of students in the class after the changes is 50 - 40 + 50 = 60.
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The average height of the students in the class after the changes is 10825 / 60 = 180.41 cm.
So, the average height of the students in the class after the changes is 180.41 cm.
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