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Find the mode of the following frequency distribution.

\begin{tabular}{l|l}
Value & Frequency \\
\hline
60 & 4 \\
62 & 8 \\
64 & 12 \\
66 & 20 \\
68 & 31 \\
70 & 13 \\
\end{tabular}


Sagot :

To find the mode of the given frequency distribution, we need to find the value that has the highest frequency. Here is the step-by-step procedure to determine the mode:

1. Identify the frequencies and their corresponding values:
- The values are: 60, 62, 64, 66, 68, 70.
- The corresponding frequencies are: 4, 8, 12, 20, 31, 13.

2. Determine the highest frequency in the dataset:
- We compare the frequencies: 4, 8, 12, 20, 31, 13.
- The highest frequency is 31.

3. Identify the value associated with the highest frequency:
- The frequency of 31 corresponds to the value 68.

4. Conclusion:
- The mode of the given frequency distribution is the value associated with the highest frequency.
- Therefore, the mode of the frequency distribution is 68.

By following these steps, you can determine that the mode of this frequency distribution is indeed 68.