High School Math : Representing Data

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Using Box And Whisker Plots

The horizontal line in the box of the box and whisker plot represents _____________.

Question_12

Possible Answers:

Median

Range

Mean

Mode

Interquartile range

Correct answer:

Median

Explanation:

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 #11 : Basic Statistics

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

Question_11

Possible Answers:

Yes; positive linear relationship

Yes; negative linear relationship

No; there is no correlation

Yes; negative exponential relationship

Correct answer:

Yes; negative linear relationship

Explanation:

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.

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