SOLUTION: Sum of the heights of all students in a class is 1472in. The mean height is 5ft 4in. How many students are in the class? The median height is 5ft 2in. How many students are 5ft 2i

Question 856334: Sum of the heights of all students in a class is 1472in. The mean height is 5ft 4in. How many students are in the class? The median height is 5ft 2in. How many students are 5ft 2in or taller and how many are shorter?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the sum of the heights is 1472 inches.
the mean height is 5 feet 4 inches.
this means the mean height is 64 inches because 5*12 + 4 = 64.

if you divide 1472 by 64, you get 23.
there are 23 people in the class.

the median height is 5 feet 2 inches which means the median height is 62 inches because 5*12 + 2 = 62.

the location of the median is found by taking the number of people and adding one to it and then dividing by 2.
23 + 1 = 24 / 2 = 12.
the median is found at the 12th person in the class if you order the class from lowest height to highest height.

this means that the 12th person in the class has a height of 62 inches.
this means that there are 11 people in the class with a height less than or equal to 62 inches and 11 people in the class with a height greater than or equal to 62 inches.

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