which box and whisker plot matches the data 34 46 28 47 39 52 29 54 41 29 31 49
Which box-and-whisker plot matches the data?
34, 46, 28, 47, 39, 52, 29, 54, 41, 29, 31, 49
A. A box-and-whisker plot is shown above a number line that is marked in increments of 1 from 25 to 60.The box extends from 30 to 48 with a division and a point at 40. The left whisker extends from 28 to 30, and the right whisker extends from 48 to 54.
B. A box-and-whisker plot is shown above a number line that is marked in increments of 1 from 25 to 60.The box extends from 30 to 49 with a division and a point at 40. The left whisker extends from 27 to 30, and the right whisker extends from 49 to 55.
C. A box-and-whisker plot is shown above a number line that is marked in increments of 1 from 25 to 60.The box extends from 29 to 48 with a division and a point at 38. The left whisker extends from 27 to 30, and the right whisker extends from 48 to 54.
D. A box-and-whisker plot is shown above a number line that is marked in increments of 1 from 25 to 60.
C lul
Its A
To determine which box and whisker plot matches the given data, we need to first create the plot by organizing the data.
1. Start by arranging the data in ascending order:
28, 29, 29, 31, 34, 39, 41, 46, 47, 49, 52, 54
2. Find the following values:
- Minimum: The smallest value in the data set is 28.
- First quartile (Q1): The median of the lower half of the data set. Since there are 12 numbers, the middle two numbers are 31 and 34. The average of these two numbers is 32.5, so Q1 = 32.5.
- Median: The middle value of the data set. For 12 numbers, the median is the average of the sixth and seventh numbers, which is (34 + 39) / 2 = 36.5.
- Third quartile (Q3): The median of the upper half of the data set. Again, with 12 numbers, the median is the average of the sixth and seventh numbers, which is (46 + 47) / 2 = 46.5.
- Maximum: The largest value in the data set is 54.
Now that we have the five-number summary (minimum, Q1, median, Q3, and maximum), we can create the box and whisker plot.
Possible representations of the box and whisker plot might be:
Option A:
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28 36.5 54
Option B:
________________
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28 36.5 54
Option C:
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_______|________
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28 36.5 54
Please note that these representations are simplified depictions and there may be slight variations in the length of the whiskers or appearance of the box.