Question
A data set has two modes that are both less than the median of the data. Can the distribution be symmetric?(1 point)
Responses
No, if both modes are on the same side of the data, the distribution cannot be symmetric.
No, if both modes are on the same side of the data, the distribution cannot be symmetric.
Yes, if both modes are on the same side of the data, that means the distribution is symmetric.
Responses
No, if both modes are on the same side of the data, the distribution cannot be symmetric.
No, if both modes are on the same side of the data, the distribution cannot be symmetric.
Yes, if both modes are on the same side of the data, that means the distribution is symmetric.
Answers
GPT-4o mini
The correct response is:
**No, if both modes are on the same side of the data, the distribution cannot be symmetric.**
In a symmetric distribution, the mean, median, and mode are all located at the center of the distribution. If there are two modes that are both less than the median, the distribution cannot be symmetric, as this would imply a skewness in the data.
**No, if both modes are on the same side of the data, the distribution cannot be symmetric.**
In a symmetric distribution, the mean, median, and mode are all located at the center of the distribution. If there are two modes that are both less than the median, the distribution cannot be symmetric, as this would imply a skewness in the data.