Question

Listed below are the errors between the predicted temperatures and actual temperatures of a certain city. Find the mean and median for each of the two samples. Do the means and medians indicate that the temperatures predicted one day in advance are more accurate than those predicted 5 days in advance, as we might expect? (actual high) (predicted high 1 day earlier) -2 3 21 5 -1 -1 3 (actual high) -(predicted high 5 days earlion) -3-22 2 8 -50 2 6 -3 The mean difference between actual high and the predicted high one day earlier is Type an integer or decimal rounded to the nearest tenth as needed.) The median difference between actual high and the predicted high one day earlier is (Type an integer or decimal rounded to the nearest tenth as needed.) The mean difference between actual high and the predicted high five days earlier is Type an integer or decimal rounded to the nearest tenth as needed.) The median difference between actual high and the predicted high five days earlier is Type an integer or decimal rounded to the nearest tenth as needed.) Do the means and medians indicate that the temperatures predicted one day in advance are more accurate than those predicted 5 days in advance, as we might expect? O A. No, the means and medians indicate that predictions made five days in advance are more O B. Yes, the means and medians indicate that predictions made one day in advance are more accurate accurate.

Answer 1

Solution:

The mean difference between actual high and the predicted high one day earlier is:

$Mean=\frac{-2-1-1+3-2-1+5-1-1+3}{10}=\boldsymbol{0.2^{\bullet } }$

The median difference between actual high and the predicted high one day earlier is:

To find the median, we need to sort the data in ascending order as:

$-2,-2,-1,-1,-1,-1,-1,3,3,5$

Therefore, the median is:

$\frac{-1+(-1)}{2}=\boldsymbol{-1^{\bullet } }$

The mean difference between actual high and the predicted high five days earlier is:

$\boldsymbol{-0.5^{\bullet } }$

The median difference between actual high and the predicted high five days earlier is:

$\boldsymbol{-2^{\bullet } }$

Do the means and medians indicate that the temperatures predicted one day in advance are more accurate than those predicted 5 days in advance, as we might expect?

Answer: B. Yes, the means, and medians indicate that predictions made one day in advance are more accurate.