Question

In class 1 (average height: 68 inches, std deviation: 5), and class 2 (average height: 67 inches, std deviation: 3.5), what differences in dot plots are expected?

a) Class 1 has a narrower distribution.
b) Class 2 has a higher average height.
c) Class 1 has a lower average height.
d) Class 2 has a larger standard deviation.

Answer 1

Class 1, with a higher average height and greater standard deviation, would have a wider spread in its dot plot compared to class 2, which has a lower average and standard deviation.

Step-by-step explanation:

Considering the information regarding class 1 and class 2, the expected differences in their dot plots relate to the spread and center of the data. Class 1, with an average height of 68 inches and a standard deviation of 5 inches, would have a wider spread of data points in its dot plot compared to class 2, which has an average height of 67 inches and a smaller standard deviation of 3.5 inches. This means that answer choice (a) is incorrect, (b) is incorrect as class 2 has a lower average height, (c) is incorrect because class 1 actually has a higher average height, and (d) is incorrect since class 2 has a smaller standard deviation, not larger.