In a class of 40 students, the average height is 150 cm. If 10 new students with
Practice Questions
Q1
In a class of 40 students, the average height is 150 cm. If 10 new students with an average height of 160 cm join, what is the new average height?
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Questions & Step-by-Step Solutions
In a class of 40 students, the average height is 150 cm. If 10 new students with an average height of 160 cm join, what is the new average height?
Step 1: Calculate the total height of the original 40 students. Multiply the average height (150 cm) by the number of students (40). So, 150 cm * 40 = 6000 cm.
Step 2: Calculate the total height of the 10 new students. Multiply their average height (160 cm) by the number of new students (10). So, 160 cm * 10 = 1600 cm.
Step 3: Add the total height of the original students (6000 cm) to the total height of the new students (1600 cm). So, 6000 cm + 1600 cm = 7600 cm.
Step 4: Calculate the new total number of students. Add the original 40 students to the 10 new students. So, 40 + 10 = 50 students.
Step 5: Calculate the new average height. Divide the new total height (7600 cm) by the new total number of students (50). So, 7600 cm / 50 = 152 cm.
