Question

Two data sets are represented by the following dot plots. The first number line is numbered one through 19 with one dot above two, two dots above three, one dot above four, one dot above six, one dot above 10, two dots above 11, two dots above 12, and one dot above 13. The second number line is numbered one through 19 with one dot above four, one dot above eight, three dots above nine, one dot above 10, one dot above 12, one dot above 13, two dots above 15, and one dot above 18. Which measure is the same for both data sets?

A. Median

B. Mode

C. Range

D. Mean

Answer 1

The measure that is the same for both data sets is the mode as both data sets have multiple modes.

Step-by-step explanation:

Comparing Two Data Sets- The task is to identify which measure is the same for both given data sets when comparing their dot plots. We have the following options: A. Median, B. Mode, C. Range, D. Mean. To find the answer, let's analyze the given information:

• Data Set 1: 2, 3, 3, 4, 6, 10, 11, 11, 12, 12, 13
• Data Set 2: 4, 8, 9, 9, 9, 10, 12, 13, 15, 15, 18

For Data Set 1:

• Median: 11
• Mode: 3 and 12
• Range: 13-2 = 11
• Mean: (2+3+3+4+6+10+11+11+12+12+13)/11 = 7.82 (approximately)

For Data Set 2:

• Median: 10
• Mode: 9
• Range: 18-4 = 14
• Mean: (4+8+9+9+9+10+12+13+15+15+18)/11 = 11.09 (approximately)

The range is distinctly different for the two data sets, as are the mean and the median. However, both data sets have more than one value recurring, which means they both have multiple modes, making option B. Mode the correct answer in this case.