look at this set of 6 numbers: 4 5 2 2 6 9 by how much would the mode increase if the number 9 replaced one…
look at this set of 6 numbers: 4 5 2 2 6 9 by how much would the mode increase if the number 9 replaced one of the 2s in the set?
Answer
Answer:
7
Explanation:
Step1: Find the original mode
The original set is {4, 5, 2, 2, 6, 9}. The number 2 appears twice and other numbers appear once. So the original mode is 2.
Step2: Find the new mode
If 9 replaces one of the 2's, the new set is {4, 5, 2, 9, 6, 9}. Now the number 9 appears twice and other numbers appear once. So the new mode is 9.
Step3: Calculate the increase
Subtract the original mode from the new mode: $9 - 2=7$.