Question

The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. Here is a list of the high temperatures, in degrees Celsius, for the second week. 5 9 7 0 3 5 5. What is the mean temperature for the second week?

a) 5.43
b) 4.57
c) 5.00
d) 5.71

Answer 1

Upon calculating the mean of the given temperatures for the second week by adding them up and dividing by the number of days, we get a mean of 4.86. This means the closest correct option is c) 5.00.

Step-by-step explanation:

The correct answer is option b) 4.57. To calculate the mean temperature for the second week, you need to sum up all the daily high temperatures and then divide by the number of days. Adding 5 + 9 + 7 + 0 + 3 + 5 + 5 equals 34. Next, since there are 7 days in a week, divide 34 by 7 to get the mean. The result of this division is approximately 4.857, which when rounded to two decimal places is 4.86, so option b) 4.57 is incorrect. However, among the provided options, the one closest to the actual mean of 4.86 is option c) 5.00, not option b). Therefore, if rounding is acceptable to the nearest whole number, the best choice is c) 5.00.

To find the mean temperature for the second week, we add up all the temperatures for that week and divide by the total number of temperatures.

Adding up the temperatures: 5 + 9 + 7 + 0 + 3 + 5 + 5 = 34

Dividing by the total number of temperatures (7): 34 / 7 = 4.857142857142857

Rounding to two decimal places, the mean temperature for the second week is 5.00 degrees Celsius.