Step 1: Understand the scenario.
The statement "most people are showing interest" implies that the red color is the most frequently chosen preference among car buyers. This indicates that the data has a clear peak or most frequent value.
Step 2: Recall the definitions of measures of central tendency.
In this case, the company is focusing on the "most frequent" choice, which aligns with the definition of the mode.
Final Answer: The measure of central tendency they selected is \( \mathbf{\text{mode}} \), which corresponds to option \( \mathbf{(3)} \).
The following table shows the ages of the patients admitted in a hospital during a year. Find the mode and the median of these data.
\[\begin{array}{|c|c|c|c|c|c|c|} \hline Age (in years) & 5-15 & 15-25 & 25-35 & 35-45 & 45-55 & 55-65 \\ \hline \text{Number of patients} & \text{6} & \text{11} & \text{21} & \text{23} & \text{14} & \text{5} \\ \hline \end{array}\]
Find the mean and mode of the following data:
Class | 15--20 | 20--25 | 25--30 | 30--35 | 35--40 | 40--45 |
Frequency | 12 | 10 | 15 | 11 | 7 | 5 |