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\t0\t2\t3\t6
2\t4\t3\t3\t4

dot plot with dots: 0 (1), 2 (2), 3 (4), 4 (2), 6 (1) on a number line from 0 to 6

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 data distribution

First, let's list the data: 0, 2, 2, 3, 3, 3, 3, 4, 4, 6. A normal distribution is symmetric, but here we have a value (6) that is far from the main cluster, and the left side (0) is also a single point. So the data is skewed (right - skewed because of the 6).

Step2: Calculate measures of center

• Mean: $\frac{0 + 2+2 + 3+3+3+3 + 4+4 + 6}{10}=\frac{30}{10} = 3$
• Median: The data is ordered: 0, 2, 2, 3, 3, 3, 3, 4, 4, 6. The median is the average of the 5th and 6th terms: $\frac{3 + 3}{2}=3$
• Mode: The most frequent value is 3 (appears 4 times). So the measures of center (mean, median, mode) are equal (all 3).

Answer:

B. The data is skewed; the measures of center are equal.