To solve the problem, we need to determine the mode of the sequence \( A, B, C, D, \ldots, Z \).
1. Understanding the Sequence:
The sequence \( A, B, C, D, \ldots, Z \) consists of the 26 letters of the English alphabet in order. Each letter appears exactly once in the sequence.
2. Definition of Mode:
The mode of a data set is the value that appears most frequently. If no value repeats, then the data set has no mode.
3. Analyzing the Frequency:
In the given sequence, each letter (from \( A \) to \( Z \)) appears exactly once. Since no letter repeats, there is no value that occurs more frequently than any other.
4. Conclusion:
Since no letter in the sequence repeats, the sequence has no mode.
Final Answer:
The mode of the sequence \( A, B, C, D, \ldots, Z \) is \({\text{No mode}}\).
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 |