Which box-and-whisker plot matches the data? 20, 32, 19, 12, 28, 34, 29, 36, 20, 15, 30, 17
to "Lebron James" your answer doesn't even make sense.
We can not see your box and whisker plot.
We do not have your test.
Sorry, can not help :(
OK, hang in there. You can do it.
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To determine which box-and-whisker plot matches the given data, we first need to understand how to construct a box-and-whisker plot.
A box-and-whisker plot, also known as a box plot, is a graphical representation of the distribution of a set of data. It displays the minimum, first quartile, median, third quartile, and maximum values of the data.
To construct a box-and-whisker plot:
1. Arrange the data in ascending order.
Given data: 12, 15, 17, 19, 20, 20, 28, 29, 30, 32, 34, 36
2. Find the median (middle value) of the data set.
In this case, the median is 24 since it falls between the 6th and 7th values when the data is arranged in ascending order.
3. Determine the lower quartile (Q1), which is the median of the lower half of the data.
The lower half of the data is: 12, 15, 17, 19, 20.
The median of this lower half is 17.
4. Determine the upper quartile (Q3), which is the median of the upper half of the data.
The upper half of the data is: 20, 20, 28, 29, 30.
The median of this upper half is 28.
5. Find the minimum and maximum values.
The minimum value is 12, and the maximum value is 36.
6. Plot the box-and-whisker plot.
Draw a number line that covers the range from the minimum value (12) to the maximum value (36).
Place a box from Q1 (17) to Q3 (28), with a horizontal line through the median (24) inside the box.
Extend "whiskers" from the box to the minimum (12) and maximum (36) values.
Now, observe the options given and see which box-and-whisker plot matches the characteristics we determined from the data.
Without the actual plots to compare, it is challenging to provide a specific match. However, based on the description above, you can identify the box-and-whisker plot that corresponds to the data by comparing the characteristics (median, quartiles, minimum, and maximum) of the plot with those obtained from the data analysis.