Final answer:
The data set is unimodal with a mode of -15.
Step-by-step explanation:
The data set given is 1, 1, -15, -7, -15, -15, 11.
To determine the mode(s) and whether the data set is unimodal, bimodal, multimodal, or has no mode, we need to identify the value(s) with the highest frequency.
- To find the mode(s), we can count the frequency of each value in the data set.
The frequency of 1 is 2.
The frequency of -15 is 3.
The frequency of -7 is 1.
The frequency of 11 is 1. - The highest frequency is 3, which corresponds to the value -15. Therefore, -15 is the mode of the data set.
- Since the mode is the only value with the highest frequency, the data set is considered unimodal.