Question

The high temperatures for the first five days in December were as follows: 28°, 3°, -2°, -4°, and 12°. What is the average high temperature of the five days? If the next day is 0°, would the average of the six days increase or decrease?

A. Average high temperature of the first five days: 7.4°; Addition of 0° would decrease the average.

B. Average high temperature of the first five days: 7.4°; Addition of 0° would keep the average the same.

C. Average high temperature of the first five days: 7.4°; Addition of 0° would increase the average.

D. Average high temperature of the first five days: 7.4°; Addition of 0° would significantly change the average.

Answer 1

The average high temperature of the first five days in December is 7.4°. Adding a 0° temperature for the next day would decrease the average to approximately 6.17°.

Step-by-step explanation:

To calculate the average high temperature of the first five days in December (28°, 3°, -2°, -4°, and 12°), we need to sum up these temperatures and then divide by the number of days:

• Sum of temperatures = 28 + 3 + (-2) + (-4) + 12 = 37
• Number of days = 5
• Average = Sum of temperatures ÷ Number of days = 37÷5 = 7.4°

If we add the next day's temperature of 0° and recalculate the average for six days, the sum of temperatures becomes 37 + 0 = 37. Dividing this sum by six gives us 37÷6, which is approximately 6.17°. Therefore, adding a day with a 0° temperature would decrease the average.

Based on this calculation, the correct answer is:

A. Average high temperature of the first five days: 7.4°; Addition of 0° would decrease the average.