QuestionThe 5 -number summary is , and 10.0 . (Use ascending order. Type integers or decimals. Do not round.) Which of the following boxplots best represents the data? A. B. C. D.
Studdy Solution
STEP 1
What is this asking?
Which boxplot correctly shows the minimum, first quartile, median, third quartile, and maximum values provided?
Watch out!
Don't mix up the different parts of the 5-number summary!
Each part of the boxplot represents a specific value.
STEP 2
1. Understand the 5-Number Summary
2. Analyze the Boxplots
STEP 3
The **minimum** value is the smallest data point, which is .
This will be the leftmost point of the "whisker" on our boxplot.
STEP 4
The **first quartile** () is .
This marks the left edge of the "box" in our boxplot.
STEP 5
The **median** () is .
This is the line inside the "box."
STEP 6
The **third quartile** () is .
This marks the right edge of the "box."
STEP 7
The **maximum** value is the largest data point, which is .
This will be the rightmost point of the "whisker."
STEP 8
We need to find the boxplot that matches our 5-number summary: minimum at , at , median at , at , and maximum at .
Let's carefully examine each boxplot to see which one lines up correctly with these values.
STEP 9
By comparing the given values with the features of each boxplot (the whiskers and the box edges), we can identify the correct one.
We're looking for the left whisker to start at , the left edge of the box to be at , the line in the box to be at , the right edge of the box to be at , and the right whisker to end at .
STEP 10
The boxplot that correctly represents the data is the one where the minimum is at , is at , the median is at , is at , and the maximum is at .
Look closely at the image, and you'll find the match!
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