Question

states traveled to or lived in
2, 5, 6, 1, 6, 2, 11, 8, 2, 1, 6, 1, 2, 9, 13

1. does increasing the 5 to 8 change the mode? how so? select the correct choice below and, if necessary, fill in the answer box within your choice.

a. yes. it decreases to

b. no. it stays the same.
c. yes. it increases to

Explanation:

Step1: Find original mode

First, list the frequency of each number in the original data: 2 (count: 3), 5 (1), 6 (3), 1 (3), 11 (1), 8 (1), 9 (1), 13 (1). So modes are 1, 2, 6 (each with frequency 3).

Step2: Change 5 to 8 and re - check

Change 5 to 8. Now data is: 2, 8, 6, 1, 6, 2, 11, 8, 2, 1, 6, 1, 2, 9, 13. Count frequencies: 2 (4), 8 (2), 6 (3), 1 (3), 11 (1), 9 (1), 13 (1). Now mode is 2 (frequency 4), which is an increase from previous modes' frequency 3. So the mode increases.

Answer:

C. Yes. It increases to 2