Question

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

Explanation:

Step1: Recall mode definition

The mode is the most frequently - occurring value(s) in a data - set.

Step2: Analyze first data - set

In the data - set 2, 2, 2, 5, 6, 7, 9, 10, each value appears only once or a small number of times, no two values are tied for the most frequent.

Step3: Analyze second data - set

In the data - set 5, 6, 8, 10, 11, 11, 15, 18, the value 11 appears twice and other values appear once, so there is a single mode (11).

Step4: Analyze third data - set

In the data - set 12, 12, 13, 13, 14, 14, 15, 15, the values 12, 13, 14, and 15 all appear twice, so there are multiple modes.

Step5: Analyze fourth data - set

In the data - set 21, 22, 22, 24, 25, 26, 28, 28, the values 22 and 28 both appear twice and other values appear once. So this data - set has two values for the mode.

Answer:

21, 22, 22, 24, 25, 26, 28, 28