Make a box-and-whisker plot of the data. 24, 18, 29, 21, 16, 23, 13, 11
To create a box-and-whisker plot of this data set: 24, 18, 29, 21, 16, 23, 13, 11, we first need to order the data from least to greatest:
11, 13, 16, 18, 21, 23, 24, 29
The five-number summary of this data set is as follows:
Minimum: 11
Q1 (First Quartile): 14.5
Median: 19.5
Q3 (Third Quartile): 23
Maximum: 29
To create the box-and-whisker plot:
- Draw a number line that spans the range of the data set.
- Mark the five-number summary points on the number line.
- Draw a box from Q1 to Q3, with a line marking the median inside the box.
- Add "whiskers" extending from the minimum to Q1 and from Q3 to the maximum.
- Any data points beyond the whiskers can be represented as dots.
The box-and-whisker plot visually displays the distribution of the data set and helps identify potential outliers or the spread of the data.