Final answer:
To label the number line for a box plot, include the minimum and maximum values, first quartile, third quartile, and median on a consistently scaled line, and then draw the box and whiskers accordingly.
Step-by-step explanation:
To construct a box plot with your data points (52, 61, 63, 64, 76, 86, 94), you first need to identify the minimum and maximum values, which are already given as 52 and 94, respectively. Additionally, the first quartile (Q1), third quartile (Q3), and median are provided as 61, 86, and 64. When labeling the number line for the box plot, you should include these specific points and ensure that the scale is consistent so that each value is accurately placed. Here is a step-by-step explanation:
- Determine the range of your number line based on the minimum and maximum values. In this case, the number line should at least span from 52 to 94.
- Choose a scale for your number line where the increments are easy to work with and can accommodate all your data points.
- Mark the minimum value (52) and maximum value (94) at the respective ends of the number line.
- Place a mark for the first quartile (Q1: 61) and the third quartile (Q3: 86) on the number line. These will determine the ends of the box.
- Place a mark for the median (64), which will be inside the box.
- Draw the rectangular box between Q1 and Q3, with a line through the box at the median.
- Draw the whiskers (lines extending from the box) towards the minimum and maximum values.
That's all it takes to label a number line and draw a box plot with your data. Remember, the box plot provides a quick picture of the distribution of data by visually displaying the minimum, Q1, median, Q3, and maximum values.