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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.
- 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.
- 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,
- 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.
- 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