Which box-and-whisker plot matches the data? 20, 32, 19, 12, 28, 34, 29, 36, 20, 15, 30, 17
the answer is c
D as of 2020 idk the question change 😬
To determine which box-and-whisker plot matches the given data, we need to understand how to create a box-and-whisker plot. Here's how you can do it:
1. Arrange the data in ascending order: 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 the average of the middle two numbers: (20 + 20) / 2 = 20.
3. Locate the lower quartile (Q1) and the upper quartile (Q3). Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half.
- Lower half: 12, 15, 17, 19.
- Upper half: 28, 29, 30, 32, 34, 36.
- Q1 is the median of the lower half: (17 + 19) / 2 = 18.
- Q3 is the median of the upper half: (30 + 32) / 2 = 31.
4. Find the minimum and maximum values in the data set (excluding outliers if any). In this case, the minimum value is 12, and the maximum value is 36.
5. Draw a number line that includes the range from the minimum to the maximum value.
6. On the number line, draw a box from Q1 to Q3, with a line inside the box representing the median.
7. Extend lines (whiskers) from the box to the minimum and maximum values.
Now that we know how to create a box-and-whisker plot, let's compare it with the given options to find the one that matches the data. Please provide the options for the box-and-whisker plots, and I will help you determine the correct one.