The table shows the number of yards a football player runs in each quarter of a game. Find the mean number of yards the player runs per quarter.
![The table shows the number of yards a football player runs in each quarter of a game Find the mean number of yards the player runs per quarter class=](https://us-static.z-dn.net/files/d91/af49d9742ced91d778d43701be883575.png)
Yards run in each quarter:
Quarter 1: -2
Quarter 2: 14
Quarter 3: -18
Quarter 4: -6
Total number of quarters = 4
Sum of yards = (-2) + 14 + (-18) + (-6)
⇒ Sum of yards = -12
Mean number of yards run per quarter = [tex]\frac{\text{Sum of yards}}{\text{Number of quarters}}[/tex]
⇒ Mean number of yards run per quarter = [tex]\frac{-12}{4}[/tex]
⇒ Mean number of yards run per quarter = -3
Hence, mean number of yards run per quarter is -3
Answer: -3 per quarter.
Step-by-step explanation:
The formula we use to find the mean is given by:-
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}[/tex]
In the given table , we have the number of yards a football player runs in each quarter of a game.
[tex]\text{Mean}=\dfrac{-2+14-18-6}{4}\\\\\Rightarrow\ \text{Mean}=\dfrac{-12}{4}=-3[/tex]
Then , the mean number of yards the player runs per quarter is -3 runs per quarter.