How do you draw a box-and-whisker plot for the following unordered data. 49, 57, 53, 54, 49, 67, 51, 57, 56, 59, 57, 50, 49, 52, 53, 50, 58?

Question

Julia Adams · Accepted Answer

By rearranging them in ascending order,

49,49,49,50,50,51,52,53,53,56,54,57,57,57,58,59,67

So, the smallest is 49, the median #M# is 53, and the largest is 67.

For the first half:

49,49,49,50,50,51,52,53,

the median #M_1={50+50}/2=50#.

For the second half:

56,54,57,57,57,58,59,67,

the median #M_2={57+57}/2=57#.

The box-and-whisker plot looks like:

I hope that this was helpful.

Nathan Axel · Answer

undefined To draw a box-and-whisker plot for the given unordered data, follow these steps:

1. Arrange the data in ascending order: 49, 49, 49, 50, 50, 51, 52, 53, 53, 54, 56, 57, 57, 57, 58, 59, 67.

2. Find the median (middle value) of the data set. In this case, the median is 54.

3. Determine the lower quartile (Q1), which is the median of the lower half of the data set. In this case, Q1 is 51.

4. Determine the upper quartile (Q3), which is the median of the upper half of the data set. In this case, Q3 is 57.

5. Calculate the interquartile range (IQR) by subtracting Q1 from Q3. In this case, IQR is 6 (57 - 51 = 6).

6. Draw a number line and mark the minimum value (49) and the maximum value (67).

7. Draw a box from Q1 to Q3, with a line inside representing the median (54).

8. Draw "whiskers" extending from the box to the minimum and maximum values.

9. Any data points that fall outside the whiskers are considered outliers and can be marked separately.

This is how you draw a box-and-whisker plot for the given unordered data.