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 of the following informal assessments is true about these two distributions?

(1 point)
Responses

Data values in both distributions have similar spread.
Data values in both distributions have similar spread.

Based on visual overlap of the distribution, all data values overlap.
Based on visual overlap of the distribution, all data values overlap.

These distributions have significantly different variability.
These distributions have significantly different variability.

Both distributions have outliers.

Answer 1

To assess the two sets of dot plots for City A and City B, we can analyze the data values:

1. City A Daily High Temperatures: The values range from 68 to 74 degrees Fahrenheit.
2. City B Daily High Temperatures: The values range from 79 to 85 degrees Fahrenheit.

Now, evaluating the provided options:

• Data values in both distributions have similar spread: This is not true because the ranges of the two cities are different (68-74 for City A vs. 79-85 for City B). Therefore, the spread is not similar.

• Based on visual overlap of the distribution, all data values overlap: This is also false because there is no overlap between the temperature ranges of City A and City B.

• These distributions have significantly different variability: This statement is true. The ranges and values in each city are significantly different, indicating different levels of variability.

• Both distributions have outliers: There are no apparent outliers in either of the distributions based on the given data—it appears to be a concentrated range for both cities.

Given the analyses, the correct response is:

These distributions have significantly different variability.