A pupil takes 5 tests and his mean score is 8. In his sixth test he only scores 2. What does his mean score fall to? What score would he need in his seventh test to get his mean score back up to 8?
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Answer: Mean Score=7
He needs to score 16 in his seventh test.
Step-by-step explanation:
let his test be x
Mean = {x1 + x2 + x3 + x4 + x5}/5
= 8 (given)
Therefore, x1 + x2 +x3 + x4 +x5 = 40
In his sixth test he scores 2 x6 =2
x1 + x2 + x3 + x4 + x5 + 2 = 40 +2
= 42
New mean = 42/6 = 7 Ans.
Now
Score he needs to get back mean to 8 in his x7 test
Mean = 8
{x1 + x2 + x3+ x4 + x5 + x6 + x7 }/7= 8
x1+ x2+x3+x4+x5+x6+x7 = 56
We know (x1+......+x6) = 42
Therefore, x7 = 56-42 = 16 Ans.
Hope it will help u Thanx
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