Question

The dataset 3, 6, 2, 8, 6, 6, 9, 10, 3 represents the scores on the most recent quiz. Describe the change in the distribution of data if an additional number is added. If you add the score of 4, what part of the five-number summary will change?(1 point)

Q3

minimum

Q1

median

Answer 1

Only Q3 changes.

Original (sorted): 2, 3, 3, 6, 6, 6, 8, 9, 10
Five-number summary: min = 2, Q1 = 3, median = 6, Q3 = 7, max = 10

After adding 4 (sorted): 2, 3, 3, 4, 6, 6, 6, 8, 9, 10
New five-number summary: min = 2, Q1 = 3, median = 6, Q3 = 8, max = 10

So minimum, Q1, and median stay the same; Q3 changes (7 → 8).