Question

the box plots shown represent the average mileage of two different types of cars. use the box plots to compare the data sets. drag each value to show if it is greater for suvs, greater for sedans, or if there is not enough information to tell. mean range maximum value number of data points iqr median greater for suvs greater for sedans cannot tell which is greater

Explanation:

Mean

The mean is the average value. In a box - plot, we cannot directly determine the mean from the visual representation. There is no clear indication of the mean from the box - plot alone.

Range

The range is calculated as \( \text{Range}=\text{Max}-\text{Min} \). For SUVs, the minimum is around \(14\) and the maximum is around \(24\), so the range for SUVs is \(24 - 14=10\). For sedans, the minimum is around \(10\) and the maximum is around \(30\), so the range for sedans is \(30 - 10 = 20\).

Maximum value

From the box - plot, the maximum value for SUVs is around \(24\) and for sedans is around \(30\).

Number of data points

A box - plot does not provide information about the number of data points in the data set.

IQR

The inter - quartile range (\(IQR = Q_3 - Q_1\)). For SUVs, \(Q_1\approx16\), \(Q_3\approx22\), so \(IQR_{SUV}=22 - 16 = 6\). For sedans, \(Q_1\approx16\), \(Q_3\approx26\), so \(IQR_{Sedan}=26 - 16=10\).

Median

The median is the middle value (the line inside the box). The median for SUVs is around \(19\) and for sedans is around \(19\) (by visual inspection of the box - plot).

Answer:

• Greater for SUVs: None
• Greater for Sedans: Range, Maximum value, IQR
• Cannot Tell Which Is Greater: Mean, Number of data points, Median