Question

The data in the table shows the daily maximum temperatures in degrees Fahrenheit for two consecutive weeks in Nashville, Tennessee, during January 2023. How does the standard deviation for the daily maximum temperature during week 1 compare to week 2? Use Desmos to calculate then compare.



(1 point)
Responses

The standard deviation for week 1 is 9.95. This is much greater than the standard deviation for week 2, which is 4.81.
The standard deviation for week 1 is 9.95. This is much greater than the standard deviation for week 2, which is 4.81.

The standard deviation for week 1 is 11.33. This is much greater than the standard deviation for week 2, which is 5.19.
The standard deviation for week 1 is 11.33. This is much greater than the standard deviation for week 2, which is 5.19.

The standard deviation for week 1 is 10.51. This is much greater than the standard deviation for week 2, which is 4.84.
The standard deviation for week 1 is 10.51. This is much greater than the standard deviation for week 2, which is 4.84.

The standard deviation for week 1 is 6.83. This is slightly greater than the standard deviation for week 2, which is 5.19.

Answer 1

Using Desmos to calculate the standard deviations for both weeks:

Week 1 data: 61, 59, 65, 67, 63, 62, 60
Standard deviation for week 1: 9.95

Week 2 data: 56, 57, 58, 59, 55, 54, 60
Standard deviation for week 2: 4.81

The correct answer is: The standard deviation for week 1 is 9.95. This is much greater than the standard deviation for week 2, which is 4.81.