Question

Suppose X~N(12,2). The empirical rule stated that about 68% of the x values lie within one stands deviation of the mean. Between what x Values does 68% of the data lie?

Answer 1

Suppose X ~ N(12,2) represents a normal distribution with mean 12 and standard deviation 2. According to the empirical rule, about 68% of the x values lie within one standard deviation of the mean .

We can calculate the endpoints of the interval that represents one standard deviation from the mean as follows:

Lower endpoint: 12 - 2 = 10

Upper endpoint: 12 + 2 = 14

Therefore, about 68% of the x values lie between 10 and 14 1.

Explanation: