Question

Twenty random students from a rural high school and 20 random students from an urban high school were asked how many miles they drive each week. Use the boxplots to complete the statements.

a) Rural students drive more miles on average.
b) Urban students drive more miles on average.
c) Rural and urban students drive the same number of miles.
d) The data does not provide enough information to compare.

Answer 1

Without the actual boxplots, it is impossible to compare the average miles driven by rural and urban high school students. We need the boxplot data to make a factual comparison using the median values as a measure of central tendency.

Step-by-step explanation:

The question relates to assessing and interpreting data using statistical methods, specifically through the use of boxplots to compare driving distances between students from rural and urban backgrounds. To compare the distances driven on average between the two groups, one would examine the median of the boxplots provided for the rural and urban students. Median values in boxplots typically represent the 'average' in a non-skewed dataset. However, without the actual boxplot to examine, it is impossible to say definitively whether rural students drive more miles on average than urban students, the reverse, or if they drive the same number of miles. A conclusion can only be drawn with the boxplot data in front of us, as it contains the necessary details to make this comparison.