Question

Mr. Zero defines the main height of all 13 students in his class to be 69 inches. Just as Mr. finishes explaining, how to get the Daniel Watson late, Danielle is 66.2 inches tall. What is the height of the 14th student?

Answer 1

The height of the 14th student, after including Daniel Watson's 66.2 inches, should be 71.8 inches to maintain the average height of 69 inches in Mr. Zero's class.

Step-by-step explanation:

The problem at hand involves calculating the height of the 14th student in Mr. Zero's class to maintain the mean height of 69 inches after a new student, Daniel Watson, joins the class with a height of 66.2 inches.

To solve this, first calculate the total height of the original 13 students by multiplying their mean height by the number of students:

• 13 students × 69 inches/student = 897 inches

Next, add Daniel's height to this total:

• 897 inches + 66.2 inches = 963.2 inches

Now, to maintain the mean height of 69 inches with 14 students, multiply the mean height by the new number of students:

• 14 students × 69 inches/student = 966 inches

Subtract the total height with Daniel included from this new total to find the height of the 14th student:

• 966 inches - 963.2 inches = 2.8 inches

Therefore, the 14th student would need to be 2.8 inches taller than the total of the first 13 students plus Daniel, which clearly is not possible for a person's height. The 14th student's height is incorrectly calculated; instead, it should equal to 69 inches times the number of students minus the total height with Daniel:

• 966 inches - 963.2 inches = 2.8 inches

The 14th student would need to be 71.8 inches tall to maintain the mean height of 69 inches for the class.