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
1 yard per play

Answer 1

–1 yard per play

Explanation:

To find the average, add together all of the outcomes and divide by the number of plays, 6:

(-3+2+-1+-2+-3+1)/6 = -6/6 = -1

Answer 2

Answer: -1 yard per play

Explanation:

The average of a data set is given by :-

`\text{Average}=\frac{\text{Sum of all data values}}{\text{Total number of values}}`

Given: The total number of plays =6

Sum of the change in field position resulting from each play is given by :-

`\text{Sum}=-3+2+(-1)+(-2)+(-3)+1=-3+2-1-2-3+1=-6`

Now, the average change in field position per running play is given by :-

`\text{Average}=\frac{\text{Sum}}{\text{Total plays}}\\\\=(-6)/(6)=-1`

Hence, the average change in field position per running play is -1 yard per play.