Question

During a school year, 6 math tests with
maximum of 50 points needs to be written. A
student had 42 points on the first two tests, 35
points on the third test, and 38 points on the
fourth test. What is the least number of points
that a student needs to score on the fifth test
to be able to have median score of 40?

Answer 1

Given:

Median score needed = 40

First and second test = 42 points

Third test = 35 points

Fourth test = 38 points

To find:

Points on the fifth test.

Solution:

Median = The middle value of the given data when the data is arranged in ascending order.

Now, let us arrange the given marks in ascending order:

35, 38, 42, 42

Now if the median needs to be 40, it has to be placed in the middle:

35, 38, 40, 42, 42

Therefore, exactly 40 points will be needed on test 5 to have a median score of 40.

Answer 2

Given : student had 42 points on the first two tests, 35  points on the third test, and 38 points on the  fourth test.  

To Find : least number of points  that a student needs to score on the fifth test  to be able to have median score of 40

Solution:

 35   38    42   42  

Now after 5 tests median Score is 40

3rd Score would be median

Hence  student needs to score  exact 40 marks on 5th Test

35  38  40  42  42

Median is 40  

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