On a piece of paper, draw a box plot to represent the data below. Then determine which answer choice matches the box plot you drew.11, 12, 15, 16, 17, 19, 22, 24, 29, 33, 38A.B.C.
Question
On a piece of paper, draw a box plot to represent the data below. Then determine which answer choice matches the box plot you drew.11, 12, 15, 16, 17, 19, 22, 24, 29, 33, 38A.B.C.
Solution
As an AI text-based model, I'm unable to draw on a piece of paper. However, I can guide you on how to draw a box plot for the given data.
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First, you need to find the five-number summary of the data: the minimum, the first quartile (Q1), the median, the third quartile (Q3), and the maximum.
- Minimum: The smallest number in the data set. For your data, the minimum is 11.
- Q1: This is the median of the first half of the data. If there is an odd number of observations, do not include the median in either half. For your data, the first quartile (Q1) is 15.
- Median: The middle value of the data set. For your data, the median is 22.
- Q3: This is the median of the second half of the data. For your data, the third quartile (Q3) is 29.
- Maximum: The largest number in the data set. For your data, the maximum is 38.
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Now, draw a number line that includes the range of your data.
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Above this line, draw a box that starts at Q1 (15) and ends at Q3 (29). This is the interquartile range (IQR).
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Draw a line (the median line) inside the box at the median value (22).
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Draw lines (whiskers) from the box to the minimum and maximum values.
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Any data points that are more than 1.5 times the IQR below Q1 or above Q3 are considered outliers. In this case, there are no outliers.
As for the answer choices, I'm unable to provide a specific answer because you didn't provide the options. However, the correct box plot should reflect the five-number summary and the description provided above.
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