Question

a researcher randomly purchases several different kits of a popular building toy. the following table shows the number of pieces in each kit in the sample. find the mode of the data. answer select the number of modes and then enter the mode(s) in the box that appears, if applicable. separate multiple modes with commas. selecting an option will display any text boxes needed to complete your answer. no mode unimodal bimodal multimodal

Explanation:

Step1: List all data values

The data values are \(175,60,280,365,365,60,119,311,280,124,185,223\).

Step2: Count the frequency of each value

• \(60\) appears \(2\) times.
• \(119\) appears \(1\) time.
• \(124\) appears \(1\) time.
• \(175\) appears \(1\) time.
• \(185\) appears \(1\) time.
• \(223\) appears \(1\) time.
• \(280\) appears \(2\) times.
• \(311\) appears \(1\) time.
• \(365\) appears \(2\) times.

Step3: Determine the mode

Since \(60\), \(280\), and \(365\) each appear \(2\) times (the highest frequency among all values), the data is multimodal.

Answer:

Multimodal, \(60,280,365\)