Final answer:
To find the probability that a value is less than 77.4, you need to determine the cumulative probability up to that value. In this case, you would use a normal distribution table or a calculator to find the cumulative probability up to 77.4.
Step-by-step explanation:
To find the probability that a value is less than 77.4, you need to determine the cumulative probability up to that value. In this case, you would use a normal distribution table or a calculator to find the cumulative probability up to 77.4. The probability will depend on the mean and standard deviation of the data.
For example, if the data is normally distributed with a mean of 80 and a standard deviation of 5, you can use the z-score formula:
z = (x - mean) / standard deviation
Then, you can find the cumulative probability using the z-score. You would look up the z-score in a standard normal distribution table or use a calculator to find the cumulative probability. This will give you the probability that a value is less than 77.4.