Question

for a social studies project, miguel counted the number of classrooms in each school in the city. classrooms per school 22 22 22 22 22 27 27 85 85 85. x is the number of classrooms that a randomly chosen school has. what is the expected value of x? write your answer as a decimal.

Explanation:

Step1: Calculate total number of data - points

There are 10 data - points.

Step2: Calculate sum of all values

$22\times5 + 27\times2+85\times3=110 + 54+255 = 419$

Step3: Calculate expected value

The expected value $E(X)=\frac{\text{Sum of all values}}{\text{Total number of data - points}}=\frac{419}{10}=41.9$

Answer:

$41.9$