To find out how many free throws Shawn can expect to make if he takes 22 free throws, we can use his free throw shooting percentage based on his current average.
Shawn's current average is 4 made free throws out of 11 attempts. His shooting percentage is calculated as follows:
\[ \text{Shooting Percentage} = \frac{\text{Made Free Throws}}{\text{Total Free Throws}} = \frac{4}{11} \]
Next, we will use this percentage to predict how many free throws he would make out of 22 attempts.
First, we calculate the expected number of made free throws:
\[ \text{Expected Made Free Throws} = \text{Shooting Percentage} \times \text{Attempts} = \frac{4}{11} \times 22 \]
Calculating this gives:
\[ \text{Expected Made Free Throws} = \frac{4 \times 22}{11} = \frac{88}{11} = 8 \]
Therefore, if Shawn takes 22 free throws in his next game, he can expect to make approximately 8 free throws.