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The temperature readings for 2020 days at 12 AM at a local ski resort were recorded as follows:6°6°23°23°16°16°−2°−2°−6°−6°20°20°26°26°16°16°6°6°−3°−3°−7°−7°−8°−8°19°19°29°29°14°14°29°29°22°22°3°3°−9°−9°11°11°What was the average of the recorded temperatures for these 2020 days? Do not round your answer

Question

The temperature readings for 2020 days at 12 AM at a local ski resort were recorded as follows:6°6°23°23°16°16°−2°−2°−6°−6°20°20°26°26°16°16°6°6°−3°−3°−7°−7°−8°−8°19°19°29°29°14°14°29°29°22°22°3°3°−9°−9°11°11°What was the average of the recorded temperatures for these 2020 days? Do not round your answer

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Solution

To find the average of the recorded temperatures for these 2020 days, we first need to add up all the temperatures and then divide by the number of days.

The temperatures are repeated twice in the list, so we can simplify the calculation by adding up the unique temperatures and then multiplying by 2.

Here are the unique temperatures: 6, 23, 16, -2, -6, 20, 26, -3, -7, -8, 19, 29, 14, 22, 3, -9, 11.

Adding these up gives: 6 + 23 + 16 - 2 - 6 + 20 + 26 - 3 - 7 - 8 + 19 + 29 + 14 + 22 + 3 - 9 + 11 = 154

Since each temperature is repeated twice, the total sum of temperatures is 154 * 2 = 308.

The number of days is 2020, so the average temperature is 308 / 2020 = 0.15247524752475248.

So, the average of the recorded temperatures for these 2020 days is approximately 0.1525 degrees.

This problem has been solved

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