### All High School Math Resources

## Example Questions

### Example Question #1 : How To Use Boxplots To Summarize A Data Set

**Possible Answers:**

Mean

Mode

Range

Median

Interquartile range

**Correct answer:**

Median

A box and whisker plot separates the data into quartiles so that each quartile has an equal number of data points. The box indicates the interquartile range, that is, the top line of the box is the third quartile and the bottom line of the box is the second quartile. The line separating the second and third quartiles indicates the *median.* The lines outside of the box indicate the outer-quartiles (first and fourth).

### Example Question #1 : Graphing Data

Based on the scatter plot below, is there a correlation between the and variables? If so, describe the correlation.

**Possible Answers:**

Yes; negative linear relationship

Yes; positive linear relationship

No; there is no correlation

Yes; negative exponential relationship

**Correct answer:**

Yes; negative linear relationship

The data points follow an overall linear trend, as opposed to being randomly distributed. Though there are a few outliers, there is a general relationship between the two variables.

A line could accurately predict the trend of the data points, suggesting there is a linear correlation. Since the y-values decrease as the x-values increase, the correlation must be negative. We can see that a line connecting the upper-most and lower-most points would have a negative slope.

An exponential relationship would be curved, rather than straight.