Question

for a science fair project, ron tracked the temperature each day. daily temperatures (°c) 10 10 10 19 19 19 19 19 37 37. x is the temperature that a randomly chosen temperature reading was. what is the expected value of x? write your answer as a decimal.

Explanation:

Step1: Calculate total number of readings

There are 3 + 5+ 2=10 readings.

Step2: Calculate sum of (temperature * frequency)

For 10°C: 10×3 = 30. For 19°C: 19×5 = 95. For 37°C: 37×2 = 74. The sum is 30 + 95+74 = 199.

Step3: Calculate expected value

Expected value $E(X)=\frac{199}{10}=19.9$.

Answer:

19.9