Question

football team has attempted 6 running plays. The change in field position resulting from each play is shown in the table.

Running Play Outcomes
Play 1
–3 yards
Play 2
2 yards
Play 3
–1 yard
Play 4
–2 yards
Play 5
–3 yards
Play 6
1 yard

What is the average change in field position per running play?
–6 yards per play
–1 yard per play
0 yards per play
1 yard per play

Answer 1

To find the average change in field position per running play, we will sum the outcomes of all the plays and then divide by the number of plays.

Here are the outcomes from the running plays:

- Play 1: –3 yards
- Play 2: 2 yards
- Play 3: –1 yard
- Play 4: –2 yards
- Play 5: –3 yards
- Play 6: 1 yard

Now, let's sum these outcomes:

\[
-3 + 2 - 1 - 2 - 3 + 1 = -6
\]

The total change in field position is –6 yards.

Now, to find the average, we divide the total change by the number of plays (6):

\[
\text{Average change} = \frac{-6 \text{ yards}}{6 \text{ plays}} = -1 \text{ yard per play}
\]

Therefore, the average change in field position per running play is **–1 yard per play**.