Question

The class guessed how many objects were placed in a mason jar. The graph displays

the class results, with an actual number of 47.
absolute guessing error.
Suppose a mistake was made, and the
actual number is 45.
Explain how the graph would change,
given the new actual number.

Answer 1

Changing the actual number of objects in the jar from 47 to 45 alters each guess's absolute guessing error, with errors increasing by 2 for overestimates and decreasing by 2 for underestimates on the graph.

Step-by-step explanation:

If the actual number of objects in the mason jar is changed from 47 to 45, the graph representing the absolute guessing error for each guess would be adjusted. The absolute guessing error is calculated by taking the absolute value of the difference between each guess and the actual number of objects.

With the actual number decreased by 2, the absolute errors for guesses above the actual number will increase by 2, and the absolute errors for guesses below the new actual number will decrease by 2. Therefore, for a guess of 50, previously the error was 3 (|50-47|=3), but with the actual number at 45, the error becomes 5 (|50-45|=5). Conversely, for a guess of 40, the previous error was 7 (|40-47|=7), but it would now be 5 (|40-45|=5). The graph would show these adjustments for each guess accordingly.