Question

1. the data set and dot plot display the number of questions a student missed on 10 math quizzes. what is a correct description of the distribution?

3 0 2 3 6
2 4 3 3 4
dot plot with 0:1 dot, 2:2 dots, 3:4 dots, 4:2 dots, 6:1 dot
a the data is skewed; the measures of center are varied.
b the data is skewed; the measures of center are equal.
c the data is normal; the measures of center are varied.
d the data is normal; the measures of center are equal.

Explanation:

Step1: Analyze the dot plot's shape

The dot plot has most data points around the middle (value 3) with a few points at the extremes (0 and 6). A normal distribution is symmetric, but here the tail on the right (toward 6) is longer, so the data is skewed (right - skewed).

Step2: Recall measures of center for skewed data

In a skewed distribution, the mean, median, and mode (measures of center) are not equal (they are varied). For a normal distribution, they are approximately equal. Since our data is skewed, we eliminate options C and D (which assume normal data). Option B says measures of center are equal, which is incorrect for skewed data. So the correct description is that the data is skewed and measures of center are varied.

Answer:

A. The data is skewed; the measures of center are varied.