 Mathematics
23 August, 21:03

# A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have an average of 77?72,91,78, 72The minimum grade he must get on the last test in order to have an average of 77 is(Simplify your answer.)

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1. 23 August, 22:09
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72 is the minimum grade he must get on the last test in order to have an average of 77.

Step-by-step explanation:

The grades of a student are given 72,91,78,72 and the grade of his last test is not given.

You have to find the minimum grade the student shall get, so that the student average must be 77. The four grades are already given. Therefore, we need to find only the fifth grade.

The term average is defined as the sum of all the data in a set divided by the number of data in a set.

Here, the number of data is 5. (Because the students has 4 grades plus one grade for his last test).

The average he should get is 77.

Let, 'x' be the grade of the last test.

⇒ 77 = (72+91+78+72+x) / 5

⇒ 77 = (313+x) / 5

⇒ 385 = 313 + x

⇒ x = 385 - 313

⇒ x = 72

The minimum grade he must get on the last test is 72.