A group of students has an average age of 20 years. If a new student aged 22 joi
Practice Questions
Q1
A group of students has an average age of 20 years. If a new student aged 22 joins the group, what will be the new average age if there were originally 15 students?
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20.6
20.7
20.8
Questions & Step-by-Step Solutions
A group of students has an average age of 20 years. If a new student aged 22 joins the group, what will be the new average age if there were originally 15 students?
Step 1: Find the total age of the original group of students. Multiply the average age (20 years) by the number of students (15). So, 20 * 15 = 300.
Step 2: Add the age of the new student (22 years) to the total age. So, 300 + 22 = 322.
Step 3: Count the new total number of students. The original group had 15 students, and now there is 1 new student, making it 15 + 1 = 16 students.
Step 4: Calculate the new average age by dividing the new total age (322) by the new total number of students (16). So, 322 / 16 = 20.125.
Step 5: Round the new average age to one decimal place. 20.125 rounds to 20.1.
Average Calculation – Understanding how to calculate the average by summing total values and dividing by the number of items.
Impact of New Data – Recognizing how the addition of new data (in this case, a new student) affects the overall average.
