Question

find the mode for the following group of data items. if there is no mode, so state.
3.2, 5.4, 6.6, 4.3, 5.8, 5.8, 4.8, 6.3, 5.2, 4.1, 4.1

select the correct choice below and, if necessary, fill in the answer box within your choice.
a. the mode(s) is/are . (use a comma to separate answers as needed.)
b. there is no mode.

Explanation:

Step1: Count the frequency of each data item

• \(3.2\) appears \(1\) time.
• \(5.4\) appears \(1\) time.
• \(6.6\) appears \(1\) time.
• \(4.3\) appears \(1\) time.
• \(5.8\) appears \(2\) times.
• \(4.8\) appears \(1\) time.
• \(6.3\) appears \(1\) time.
• \(5.2\) appears \(1\) time.
• \(4.1\) appears \(2\) times.

Step2: Identify the data item(s) with the highest frequency

The data items \(5.8\) and \(4.1\) both have a frequency of \(2\), which is higher than the frequency of other data items.

Answer:

A. The mode(s) is/are \(4.1,5.8\)