The average height of a group of 5 students is 162cm. If a new student joins the group, the average becomes 162.5cm. Find the height of the new student. A165cmB152cmC173cmD168cmENone of the above
Question
The average height of a group of 5 students is 162cm. If a new student joins the group, the average becomes 162.5cm. Find the height of the new student. A165cmB152cmC173cmD168cmENone of the above
Solution
To solve this problem, we need to follow these steps:
Step 1: Calculate the total height of the original group of students. We do this by multiplying the average height by the number of students. So, 162cm * 5 = 810cm.
Step 2: Calculate the total height of the group after the new student joins. We do this by multiplying the new average height by the new number of students. So, 162.5cm * 6 = 975cm.
Step 3: Find the height of the new student by subtracting the total height of the original group from the total height of the group after the new student joins. So, 975cm - 810cm = 165cm.
Therefore, the height of the new student is 165cm. So, the answer is A165cm.
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