Problem
-MATH FOR CRITICAL THINK Question 10 of 10 This a This q Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement The mean, median, and mode of a normal distribution are all equal. Choose the correct answer below. A. The statement is true B. The statement is false. The mean and median of a normal distribution are all equal. C. The statement is false. The mean, median, and mode of a normal distribution are all different D. The statement is false. The mean and mode of a normal distribution are all equal.
Solution
Step 1 ：This statement is about the properties of a normal distribution. A normal distribution, also known as Gaussian distribution, is a type of continuous probability distribution for a real-valued random variable.
Step 2 ：The mean, median, and mode of a normal distribution are indeed all equal. This is one of the key characteristics of a normal distribution.
Step 3 ：Therefore, the statement is true.
Step 4 ：Final Answer: \boxed{\text{A. The statement is true}}
