$\begin{array}{c|c} Values & 0 & 1 & 2 & 3 & 4 \\ \hline Frequency & 1 & 2 & 2 & 1 & 9 \end{array}$ Find the mode of the distribution above

Analysis of the Question

The question asks for the mode of a given frequency distribution. In statistics, the mode is defined as the value that appears most frequently in a data set.

Concept Explanation

To find the mode from a frequency table, you do not need to perform complex calculations. You simply look at the "Frequency" row to identify the highest number. The "Value" corresponding to that highest frequency is your mode.

Step-by-Step Solution

1. Examine the table: • Value 0 has a frequency of 1 • Value 1 has a frequency of 2 • Value 2 has a frequency of 2 • Value 3 has a frequency of 1 • Value 4 has a frequency of 9

2. Identify the highest frequency: Comparing the frequencies (1, 2, 2, 1, 9), the largest number is 9.

3. Match the frequency to the value: The value associated with the frequency of 9 is 4.

Since 4 appears more times (9 times) than any other value in the distribution, it is the mode.

Conclusion

The mode of the distribution is 4.

Exam Tip

Always be careful not to confuse the mode with the mean or median.

• Mode: Most frequent (look for the biggest number in the frequency row).
• Median: The middle value (arrange data in order first).
• Mean: The average (sum of all values divided by total frequency).