Sia
Question
Math
Posted 10 months ago
Here's a box plot that summarizes the test score for each student in Mr. Dai's class.
Which of these best describes the shape of the distribution?
Choose 1 answer:
(A) Approximately symmetric
(B) Not symmetric
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Answer from Sia
Posted 10 months ago
Solution by Steps
step 2
The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1), which is from 28 to 32
step 3
The median is given as 30, which is exactly in the middle of the IQR, suggesting symmetry
step 4
The whiskers extend to the minimum and maximum scores (excluding outliers), which are 22 and 34, respectively
step 5
The presence of an outlier at 20 does not significantly affect the symmetry because it is a single data point
step 6
Considering the IQR, median, and whiskers, the distribution can be described as approximately symmetric since the median divides the box evenly and the whiskers are of similar length
[question number] Answer
A
Key Concept
Symmetry in a Box Plot
Explanation
A distribution is considered symmetric if the median divides the box into two equal parts and the whiskers are of similar length on both sides. Outliers may exist but do not necessarily affect the overall symmetry.
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