Day 1 2 3 4 5 Temperature (°F) 70 72 68 75 70 The temperature for 5 days is shown in the table. If on the 6th day the temperature was 83°, by how much will this increase the overall median temperature? A) 1°. B) 2°. C) 3°. D) 4°.

Mathematics · Middle School · Thu Feb 04 2021

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To determine the change in the median, we first need to arrange the temperatures for the first five days in order and find the current median.

The temperatures arranged in order (from lowest to highest) are: 68°F, 70°F, 70°F, 72°F, 75°F.

For five numbers, the median is the middle number, which is the third number in the sequence. In this case, the median is 70°F.

Now, let's add the temperature of the sixth day, which is 83°F, and rearrange the sequence to include this new temperature: 68°F, 70°F, 70°F, 72°F, 75°F, 83°F.

With six numbers, the median will be the average of the third and fourth numbers since we have an even number of data points.

The third number in this new sequence is 70°F, and the fourth number is 72°F. The average of these two temperatures gives us the new median: (70°F + 72°F) / 2 = 142°F / 2 = 71°F.

Comparing this with the original median of 70°F, we see that the median has increased by 1°F.

Therefore, the answer is A) 1°