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Question

Arnav scored 63 marks in English, 57 in Hindi, 82 in Mathematics, 55 in Social Science and 𝑥 in Science. If the average he scored is 70, find the average of the best of four scores.

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Solution

Average=Sum of observationTotal number of observation
Sum of observation=63+57+82+55+x=257+x
Total no. of observations=5(given)
So,
Average=257+x5
70=257+x5
70×5=257+x
350=257+x
x=93

Thus, he scored 93 in science.
So,
Arnav's best scores among his 5 subjects are : 93,82,63 and 57.

Average=93+82+63+574
Average=2954=73.75
Hence, the average of the best of four scores is 73.75.


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