Question

determine whether the following statement makes sense or does not make sense. although the data set 2, 2, 3, 3, 3, 4, 4, 4 has a number of repeated items, there is only one mode. choose the correct answer below. a. the statement makes sense because there is 1 mode in the data set. b. the statement does not make sense because there are no modes in the data set. c. the statement does not make sense because every value is a mode in the data set. d. the statement does not make sense because there are 2 modes in the data set.

Explanation:

Step1: Recall mode definition

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

Step2: Analyze the given data set

In the data set 2, 2, 3, 3, 3, 4, 4, 4, the number 3 appears 3 times and the number 4 appears 3 times, while 2 appears 2 times.

Step3: Determine the number of modes

Since both 3 and 4 appear with the highest frequency and their frequencies are equal, the data set has two modes (3 and 4).

Answer:

D. The statement does not make sense because there are 2 modes in the data set.