Question

find the mode of this stem - and - leaf plot.
key: 2 | 0 means 20

Explanation:

Step1: Reconstruct the data from the stem - and - leaf plot

The stem - and - leaf plot has stems 2, 3, and 4. For stem 2, the leaves are 0, 2, 3, 5. So the data points are \(20,22,23,25\). For stem 3, the leaves are 1, 1, 4. So the data points are \(31,31,34\). For stem 4, the leaf is 0, so the data point is \(40\).

Step2: Identify the mode

The mode is the value that appears most frequently in a data set. Let's count the frequency of each number:

• \(20\): appears 1 time.
• \(22\): appears 1 time.
• \(23\): appears 1 time.
• \(25\): appears 1 time.
• \(31\): appears 2 times.
• \(34\): appears 1 time.
• \(40\): appears 1 time.

Since \(31\) appears more frequently (2 times) than any other number, the mode is \(31\).

Answer:

\(31\)