To determine the quartiles from a box-and-whisker plot, we typically look for the following values:
- Q1 (first quartile): the median of the lower half of the data
- Q2 (second quartile or median): the median of the entire data set
- Q3 (third quartile): the median of the upper half of the data
From the options provided, each set seems to represent a different set of quartiles. Let's analyze each one to see which might correspond to a box-and-whisker graph.
-
23, 26, 28.5, 31.5
- Q1 = 26
- Q2 = 28.5
- Q3 = 31.5
-
26, 28.5, 30.5, 35
- Q1 = 28.5
- Q2 = 30.5
- Q3 = 35
-
26, 28.5, 32.5, 34
- Q1 = 28.5
- Q2 = 32.5
- Q3 = 34
-
23, 26, 28, 30.5
- Q1 = 26
- Q2 = 28
- Q3 = 30.5
To identify which of these quartiles are appropriate, it's essential to consider the context or specific values shown on the box-and-whisker plot. The values should fit logically into the expected format of sorted data, where Q1 is below the median and Q3 is above it.
If you provided the data points (or if they were shown in a box-and-whisker chart), we could easily compute the quartiles. However, without that context, I recommend using the box-and-whisker plot to identify the values shown in the whiskers and the boxes.
Please verify which set of quartiles corresponds to any information provided from the box-and-whisker graph for the most accurate answer.