Question

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

Responses

49
49

41
41

37
37

35
35

Answer 1

In a box-and-whisker plot, the first quartile (Q1) is the median of the lower half of the data, which represents the 25th percentile. From the responses provided, the data points appear to be:

- 49
- 41
- 37
- 35

To find Q1, we need to sort the values in ascending order:

- 35
- 37
- 41
- 49

Now, we can see that the lower half of the data consists of the first two values: 35 and 37.

To find Q1, we take the median of 35 and 37:

\[
Q1 = \frac{35 + 37}{2} = \frac{72}{2} = 36
\]

Since the options provided do not include 36, it seems there may be a misunderstanding in the plot or the data representation. However, assuming the values you've provided, the first quartile or Q1 from the dataset would be 36. If any additional context is available from the box-and-whisker plot, it could clarify this further.

If you're looking for a value from the responses you provided, Q1 is not present among those options, so it cannot be directly matched.