Rebecca recorded her monthly expenses on transportation for several months. She recorded these values $100, $110, $120, $120, $130, $140, $140, $150, $160, $160, $170 and $180. What is an accurate description of the data values that Rebecca used to create a box plot like the one shown? Expand Image
Answer
A
Minimum expense: $100 First quartile (Q1): $110 Median (Q2): $140 Third quartile (Q3): $170 Maximum expense: $180
B
Minimum expense: $110 First quartile (Q1): $120 Median (Q2): $140 Third quartile (Q3): $160 Maximum expense: $170
C
Minimum expense: $100 First quartile (Q1): $130 Median (Q2): $140 Third quartile (Q3): $150 Maximum expense: $180
D
Minimum expense: $100 First quartile (Q1): $120 Median (Q2): $140 Third quartile (Q3): $160 Maximum expense: $180
Explanation
The data are already in order. With 12 values, the median is the average of the 6th and 7th values: ($140 + $140) ÷ 2 = $140. The lower six values have a median of $120, and the upper six have a median of $160, so Q1 is $120 and Q3 is $160. The minimum is $100 and the maximum is $180, matching the description in choice D.
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