Question

The first quartile of a data set is 23, the median is 30, the third quartile is 33, and an outlier is 50. Which of these data values would be represented by a point in a modified box plot?
A. 50
B. 30
C. 23
D. 33

Answer 1

In a modified box plot, outliers are typically represented differently from other data points. In your case, the outlier is 50, which means it would not be represented in the same way as other points in the box plot.

Here’s how each option relates to a modified box plot:

- A. 50: This value is classified as an outlier and would usually be represented as a separate point outside the whiskers of the box plot.
- B. 30: This value is the median and would be represented as a point within the box of the modified box plot.
- C. 23: This value is the first quartile and also would be represented as a point within the box of the modified box plot.
- D. 33: This value is the third quartile and similarly would be represented as a point within the box of the modified box plot.

Based on this information, the values represented by a point in a modified box plot would be B (30), C (23), and D (33). However, since the question seems to want a single answer to the values represented by points in the plot, the best option would be:

**B. 30** (the median).

But it’s important to note that C (23) and D (33) would also be represented as points in the box plot.