The question asks to determine the value of the lower quartile from the box plot.

Analysis of the box plot:

• The box plot is a statistical tool that displays the distribution of a dataset.
• The key parts of a box plot are:
  • Minimum value (15 in this case).
  • Lower quartile (Q1) – This is the value at the first quartile (25th percentile).
  • Median (Q2) – This is the value at the second quartile (50th percentile, given as 23).
  • Upper quartile (Q3) – This is the value at the third quartile (75th percentile).
  • Maximum value (excluding outliers, 35 in this case).

The value of Q1 (lower quartile) is typically found at the left boundary of the box.

Observing the box plot:

• The lower boundary of the box is at 20.
• Thus, the lower quartile (Q1) is 20.

Correct Answer:

The correct option is B) 20.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the significance of each part of the box plot (whiskers, box, median)?
2. How can you calculate quartiles for a dataset?
3. What is the difference between an outlier and a regular data point on a box plot?
4. How do we interpret the spread of data from the length of the box?
5. What are other ways to represent data distribution besides box plots?

Tip: Box plots are excellent for identifying outliers and understanding the spread of data visually.