Question

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

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**.