To determine the mode of a set of data, you need to identify the number that appears most frequently.
Data Set: 250, 255, 395, 400
In this data set, each number occurs only once.
Therefore, there is no mode since no number repeats.
Data Set: 280, 240, 240, 290, 260, 220, 290
Here, both 240 and 290 appear twice.
This set is bimodal because it has two modes: 240 and 290.
Data Set: 19.1, 19.6, 20.4, 29.1, 19.6, 25.4, 21.5, 22.8, 23.5, 19.6
The number 19.6 appears three times, more frequently than any other number.
Therefore, the mode is 19.6, and the set is unimodal.
Data Set: 160, 140, 139, 150, 153, 145, 139, 150, 166, 160
Both 139, 150, and 160 appear twice.
This set is multimodal with modes: 139, 150, and 160.
Data Set: 23, 33, 35, 36, 35, 89, 35, 93, 77
The number 35 appears three times, more than any other number.
Thus, the statement that the mode of this data set is 35 is correct.
The set is unimodal with the mode 35.