Section 7.1 Homework Question 1 Answer

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Section 7.1 Homework

1.

Determine if the following statement is true or false.
 
The normal curve is symmetric about its mean,

.

 

Choose the best answer below.

  1. The statement is true. The mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.
  2. The statement is true. The normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ Therefore, the normal curve is symmetric about the​ mean,
  3. The statement is false. The mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean.
  4. The statement is false. The normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. The median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ Therefore, the normal curve could only be symmetric about its​ median, not about its mean.

 

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This question is taken from Math 136 – Introduction to Statistics » Summer 2021 » Section 7.1 Homework