What should be the score of test 6 to make an average score of 75? Test1 score -> 52 Test2 score -> 70 Test3 score -> 92 Test4score -> 90 Test5 Score -> 60 Test6 Score -> ?
Answers
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Answer:
The score for test 6 to make an average of 75 in the given set of data is 86.
Step-by-step explanation:
Average score or mean is given by the following formula:
A = S/N
Average/mean (A) = Total sum of data (S) / The number of terms in the data (N)
⇒The Average (A) of the data is = 75
⇒Total sum of the data is the total of the score in the six tests:
Test 1 + test 2 + test 3 + test 4 + test 5 + test 6
= 52 + 70 + 92 + 90 + 60 + test 6
= (52 + 70 + 92 + 90 + 60) + test 6
= 364 + test 6
Therefore the sum of the data set (S) = 364 + test 6
The total number of data in the set ( N) = 6
We can substitute and find score for test 6
A = S/N
75 = (364 + test 6)/6
Cross multiply the above equation
75 × 6 = 364 + test 6
450 = 364 + test 6
Test 6 = 450 - 364
Test 6 = 86
Therefore the score for test 6 = 86