Use the image to answer the question.

Question

An illustration shows two sets of dot plots. One is titled City A Daily High Temperature in degrees Fahrenheit, and the other is City B Daily High Temperature in degrees Fahrenheit. The plots are shown as an abacus-like representation with dots in a vertical row over each number on a number line. For City A, a number line with arrows on both ends ranges from 68 to 74 in increments of 1. There are 2 dots above 68, 1 dot above 69, 2 dots above 70, 3 dots above 71, 2 dots above 72, 2 dots above 73, and one dot above 74. For City B, a number line with arrows on both ends ranges from 79 to 85 in increments of 1. There is 1 dot above 79, 2 dots above 80, 2 dots above 81, 3 dots above 82, 2 dots above 83, 2 dots above 84, and 1 dot above 85.

The dot plots show the daily high temperatures in two cities on 13 randomly chosen days in August. Which measure of center or variability do both distributions share?

(1 point)
Responses

median
median

range
range

mean
mean

mode

Answer 1

To determine which measure of center or variability both distributions (City A and City B) share, let's analyze the dot plots:

1. City A has the following temperatures represented by dots:

   • 68°F: 2 dots
   • 69°F: 1 dot
   • 70°F: 2 dots
   • 71°F: 3 dots
   • 72°F: 2 dots
   • 73°F: 2 dots
   • 74°F: 1 dot

   The mode for City A is 71°F (the most frequent value).

2. City B has the following temperatures represented by dots:

   • 79°F: 1 dot
   • 80°F: 2 dots
   • 81°F: 2 dots
   • 82°F: 3 dots
   • 83°F: 2 dots
   • 84°F: 2 dots
   • 85°F: 1 dot

   The mode for City B is 82°F (the most frequent value).

Summary of Measures:

• City A: Mode = 71°F
• City B: Mode = 82°F

Since both distributions have a mode, but they are different values, the only common measure of variability or center they have is that both contain a mode, even though it is not the same value.

Therefore, the correct answer is mode.