Question

interpreting data represented in a dot plot
the number of questions that students answered
incorrectly on the last quiz is shown in the dot plot below.
questions answered incorrectly
use the dot plot to complete the statements.
the dot plot shows that students answered 4
questions incorrectly on the quiz.
the most frequent number of questions answered
incorrectly was
the data distribution is

Explanation:

Step1: Count the number of dots for each value

For value \(1\): \(3\) dots. For value \(2\): \(0\) dots. For value \(3\): \(1\) dot. For value \(4\): \(2\) dots. For value \(5\): \(4\) dots. For value \(6\): \(2\) dots. For value \(7\): \(1\) dot. For value \(8\): \(0\) dots. For value \(9\): \(3\) dots.

Step2: Find the most frequent number

The number with the most dots is \(5\) (has \(4\) dots).

Step3: Check the symmetry of the distribution

If we fold the dot - plot along a vertical line, the left and right sides do not match. The tail of the distribution is on the left - hand side (fewer values as we move towards lower numbers). So, it is skewed left.

Answer:

The most frequent number of questions answered incorrectly was \(5\). The data distribution is skewed left.