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Using the box plots given:
1. Median for 6th graders = 2.5; 4th graders = 1.5
2. Difference of spread = 1
3. Variability for 6th graders = 1.9; 4th graders = 1
4. TRUE, TRUE, FALSE, TRUE
5. C.
<h3>What is the Five-number Summary Displayed by a Box Plot?</h3>In a typical box plot as shown in the image attached below, the five-number summary that a box plot displays include min and max values, lower and upper quartiles, and the median.
The spread = the range = max value - min value
The variability = IQR = Q3 - Q1.
1. Median for 6th graders = 2.5
Median for 4th graders = 1.5
2. Spread for 6th graders = 4 - 0 = 4
Spread for 4th graders = 3 - 0 = 3
Difference of spread = 4 - 3 = 1
3. Variability for 6th graders (IQR) = 3.4 - 1.5 = 1.9
Variability for 4th graders (IQR) = 2 -1 = 1
4. TRUE, Q3 for 4th graders < Q3 for 4th graders
TRUE, Q1 for 6th graders = median for 4th graders
FALSE, rather the max for 6th graders > max for 4th graders
TRUE, both grades have at least 1 students who do not participate.
5. C. Max for April = median for March.
Learn more about the box plot on:
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