Question

question #1 consider the data set. 2, 3, 4, 7, 8, 9, 12 which box - plot represents the data correctly?

Explanation:

Step1: Find the median

The data set is 2, 3, 4, 7, 8, 9, 12. There are 7 data - points. The median (Q2) is the 4th value when the data is ordered, so Q2 = 7.

Step2: Find the lower half

The lower half of the data is 2, 3, 4. The median of the lower half (Q1) is 3.

Step3: Find the upper half

The upper half of the data is 8, 9, 12. The median of the upper half (Q3) is 9.

Step4: Identify the minimum and maximum

The minimum value is 2 and the maximum value is 12.

Step5: Analyze box - plots

In a box - plot, the box starts at Q1, ends at Q3, and has a line at Q2. The whiskers extend to the minimum and maximum values. For our data, the box should start at 3, end at 9, have a line at 7, and whiskers from 2 to 12.

Answer:

B