Question

c) For the high jump, each competitor receives multiple opportunities to clear the bar at each height. On average, Shane completes 2 out of 3 jumps on the lowest bar, 4 out of 6 jumps on the middle bar, and 1 out of 4 jumps on the highest bar. Write an equation that you could use to find Shane’s overall average number of jumps completed. Calculate Shane’s average using the equation. (2 points)

Answer 1

To find the average, add the number of jumps they make and divide that by the number of jumps they attempt.

Jumps made = 2 + 4 + 1 = 7

Jumps attempted = 3 + 6 + 4 = 13

You can write the equation by separating the jumps made and divide by the attempts like this:

(2 + 4 + 1) / (3 + 6 +4) = 7/13 = 0.538

The average is 0.538  (Round off as needed)

Answer 2

Answer:

Average number of jumps on lowest bar = 3/2 = 1.5

Average number of jumps on middle bar = 6/4 = 1.5

Average number of jumps on highest bar = 4/1 = 4

Overall average number of jumps = 3/2 + 6/4 + 4/1 = 7

Overall average number of jumps = 1/probability of complete the lowest bar +1/probability of complete the middle bar + 1/probability of complete the highest bar

Equations of Shane’s overall average number of jumps completed           = x * (7/13), where x is the total number of overall jumps