Question

a survey was conducted among adults in a neighborhood to find out their additional monthly income from side jobs. the data collected was: $410, $420, $415, $430, $425, $410, $425. which dot - plot correctly represents the data?

Explanation:

Step1: Count data - points

The data values are $410, 420, 415, 430, 425, 410, 425$. We need to count the number of times each value appears in the dot - plots.

Step2: Analyze first dot - plot

The first dot - plot does not have the correct number of dots for each value. For example, it does not represent the two $410$ values correctly.

Step3: Analyze second dot - plot

The second dot - plot has the correct number of dots corresponding to each income value. There are two dots at $410$, one dot at $415$, one dot at $420$, two dots at $425$ and two dots at $430$.

Step4: Analyze third dot - plot

The third dot - plot has an incorrect distribution of dots. For instance, the number of dots at $415$ is not consistent with the data.

Step5: Analyze fourth dot - plot

The fourth dot - plot also has an incorrect number of dots for some of the income values.

Answer:

The second dot - plot correctly represents the data.