Question

which data set has no mode?
a 34, 37, 31, 39, 34
b 43, 47, 44, 44, 47
c 58, 54, 52, 56, 51
d 71, 77, 73, 77, 72

Explanation:

Step1: Recall mode definition

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

Step2: Analyze data set A

In data set A: 34, 37, 31, 39, 34, the number 34 appears 2 times and other numbers appear 1 time. So the mode is 34.

Step3: Analyze data set B

In data set B: 43, 47, 44, 44, 47, 44 and 47 both appear 2 times. So the data - set is bimodal with modes 44 and 47.

Step4: Analyze data set C

In data set C: 58, 54, 52, 56, 51, each number appears exactly 1 time. There is no number that appears more frequently than others.

Step5: Analyze data set D

In data set D: 71, 77, 73, 77, 72, the number 77 appears 2 times and other numbers appear 1 time. So the mode is 77.

Answer:

C. 58, 54, 52, 56, 51