A group of students has an average height of 160 cm. If one student with a heigh
Practice Questions
Q1
A group of students has an average height of 160 cm. If one student with a height of 170 cm leaves, what will be the new average height if the group size was 10?
158 cm
159 cm
160 cm
161 cm
Questions & Step-by-Step Solutions
A group of students has an average height of 160 cm. If one student with a height of 170 cm leaves, what will be the new average height if the group size was 10?
Step 1: Calculate the total height of the group. Since the average height is 160 cm and there are 10 students, multiply 160 by 10. Total height = 160 * 10 = 1600 cm.
Step 2: Subtract the height of the student who leaves. The student is 170 cm tall, so subtract 170 from the total height. New total height = 1600 - 170 = 1430 cm.
Step 3: Calculate the new average height. Now there are 9 students left in the group. Divide the new total height by the new number of students. New average height = 1430 / 9 = 158.89 cm.
Step 4: Round the new average height to the nearest whole number. 158.89 cm is approximately 159 cm.
Average Calculation – Understanding how to calculate the average height by dividing the total height by the number of students.
Impact of Removing a Member – Recognizing how the removal of a member affects the total height and the average.
Basic Arithmetic Operations – Applying addition and subtraction to find new totals and averages.
