What is the median of the data displayed in this box-and-whisker plot?

Question

Responses

41
41

49
49

55
55

58
58
Box-and-whisker plot ranging from 34 to 58 with ticks at increments of one half. Plot defined by points at 35, 37, 41, 49, 55

Answer 1

To determine the median from a box-and-whisker plot, we can look at the five-number summary that the plot represents:

1. Minimum: The smallest value (34 in this plot).
2. First Quartile (Q1): The median of the lower half of the data (35 and 37 in this case) which would be the median of those values.
3. Median (Q2): The middle value of the entire dataset.
4. Third Quartile (Q3): The median of the upper half of the data (49 and 55 in this case).
5. Maximum: The largest value (58 in this plot).

From your description, the five-number summary appears to be:

• Minimum: 34
• Q1: 41 (first quartile)
• Median: 49 (second quartile, central value)
• Q3: 55 (third quartile)
• Maximum: 58

Thus, the median of the data displayed in the box-and-whisker plot is 49.