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The graph provides data on weekly reaction times and resulting energy yields from 32 trials carried out by four research labs in the Andean Valley in 2022. Each lab conducted eight trials, and for every trial both the reaction time (in hours) and the resulting energy yield (in kilojoules) were recorded.
Select from each drop-down menu the option that creates the most accurate statement based on the information provided.
The range of the recorded energy yields was greatest for Lab .
The median reported reaction time for all trials across the four labs was the median reported reaction time for all trials across the three labs excluding Lab D.
The graph provides data on weekly reaction times and resulting energy yields from 32 trials carried out by four research labs in the Andean Valley in 2022. Each lab conducted eight trials, and for every trial both the reaction time (in hours) and the resulting energy yield (in kilojoules) were recorded.
Select from each drop-down menu the option that creates the most accurate statement based on the information provided.
The range of the recorded energy yields was greatest for Lab .
The median reported reaction time for all trials across the four labs was the median reported reaction time for all trials across the three labs excluding Lab D.
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Drop-down 1:
The range of a data set is the maximum value minus the minimum value.
From the graph, the lowest yield is 260 and the highest yield is 1400, both from Lab D. Since both extremes belong to Lab D, Lab D has the greatest range.
Correct answer: Lab D
Drop-down 2:
The median is the middle value of a data set in ascending order, or the average of the two middle values if the total number is even.
Across all 32 trials, the median is the average of the 16th and 17th values: (4 + 5)/2 = 4.5.
Across the 24 trials excluding Lab D, the median is the average of the 12th and 13th values: (4 + 5)/2 = 4.5.
I don’t quite agree with the solution. . Median is bigger
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The medians match because of how the values line up when ordered. With all 32 trials, the 16th and 17th values are 4 and 5, so the median is (4 + 5)/2 = 4.5. When Lab D is excluded, there are 24 trials left, and the 12th and 13th values are again 4 and 5, so the median is (4 + 5)/2 = 4.5. That is why the result is the same in both cases. And as a reminder, when you claim something is larger or smaller, you should show the ordered values or the calculation, not just state it.
P.S. When you make a claim, it’s always better to show how you got it so we can address it directly. Throwing out a statement without backing it up is pointless.