Question

analyzing data
which data set has two values for the mode?
5, 6, 8, 10, 11, 11, 15, 18
21, 22, 22, 22, 24, 25, 26, 28, 28, 28
12, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15
2, 2, 2, 5, 6, 7, 9, 10

Explanation:

Step1: Recall the definition of mode

The mode is the value that appears most frequently in a data set.

Step2: Analyze the first data set \(5,6,8,10,11,11,15,18\)

The number \(11\) appears twice, and all other numbers appear once. So, there is one mode (\(11\)).

Step3: Analyze the second data set \(21,22,22,22,24,25,26,28,28,28\)

The number \(22\) appears three times and \(28\) appears three times. So, there are two modes (\(22\) and \(28\)).

Step4: Analyze the third data set \(12,12,12,13,13,14,14,15,15\)

The numbers \(12\), \(13\), \(14\), \(15\) each appear three times. But this is not two - valued mode.

Step5: Analyze the fourth data set \(2,2,2,5,6,7,9,10\)

The number \(2\) appears three times. So, there is one mode (\(2\)).

Answer:

The data set \(21,22,22,22,24,25,26,28,28,28\) has two values for the mode.