Question

mr. suzuki, a p.e. teacher, wrote down how much weight each of his students could lift. weight lifted (lbs) 22 22 28 28 28 50 50 50 50 138. x is the weight that a randomly chosen person lifted. what is the expected value of x? write your answer as a decimal.

Explanation:

Step1: Calculate the sum of all values

$22\times2 + 28\times3+50\times4 + 138=44 + 84+200 + 138=466$

Step2: Calculate the total number of data - points

$2 + 3+4 + 1=10$

Step3: Calculate the expected value

The expected value $E(X)=\frac{\text{Sum of all values}}{\text{Total number of data - points}}=\frac{466}{10}=46.6$

Answer:

$46.6$