16. In a series of tests, A appeared for 8 tests.
Each test was marked out of 30 and averages
25. However, while checking his files, A could
only find 7 of the 8 tests. For these he scored
29 26, 18, 20, 27, 24 and 29. Determine how
many marks he scored for the eighth test.
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Answer:
A scored 27 marks in the eighth test.
Step-by-step explanation:
Average of eight tests = 25
In general:
Average = Sum of all observations / No. of observations
=> Sum of all observations = Average * No. of observations
Applying this to the the present problem, we get:
Sum of marks in eight tests = 25 * 8
= 200
Marks obtained in seven tests are: 29 26, 18, 20, 27, 24 and 29.
Sum of marks of 7 tests = 173
Marks in 8th test = Sum of marks of 8 tests - Sum of marks of 7 tests
= 200 - 173
= 27
Marks obtained by A in eighth test = 27
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