Question

find the number of modes, if any, in the following set of data. if a mode exists, also give the value of the mode. 20.7, 51.1, 7.7, 87.9, 16.1, 7.7, 68.5 answer choose the correct number of modes. selecting an option will display any text boxes needed to complete your answer.

Explanation:

Step1: List the data set

The data set is: \(20.7, 51.1, 7.7, 87.9, 16.1, 7.7, 68.5\)

Step2: Count frequency of each value

• \(20.7\): occurs 1 time
• \(51.1\): occurs 1 time
• \(7.7\): occurs 2 times
• \(87.9\): occurs 1 time
• \(16.1\): occurs 1 time
• \(68.5\): occurs 1 time

Step3: Identify the mode(s)

The mode is the value with the highest frequency. Here, \(7.7\) has the highest frequency (2 times), and all other values have a frequency of 1. So there is 1 mode, which is \(7.7\).

Answer:

The number of modes is 1, and the mode is \(7.7\)