Question

a 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

Explanation:

Step1: Find the sum of changes

$(- 3)+2+( - 1)+(-2)+(-3)+1$
$=(-3 - 1-2 - 3)+(2 + 1)$
$=-9 + 3=-6$

Step2: Calculate the average

The number of plays is $n = 6$. The average $\bar{x}=\frac{\text{Sum of changes}}{\text{Number of plays}}=\frac{-6}{6}=-1$

Answer:

-1 yard per play