Q. Michelle has the following data:10,9,8,bIf the range is 7, which number could b be?Choices:(A)12(B)3
Understand the problem: Step 1: Understand the problem and identify the range calculation.We know the range of a set of numbers is the difference between the maximum and minimum values. We're given the numbers 10, 9, 8, and b, and the range is 7.
Calculate possible values: Step 2: Calculate the possible values for b using the range.The range is the difference between the maximum and minimum values in the dataset. Since the range is 7, we have two scenarios:1. If b is the maximum value, then b−8=7 (since 8 is the smallest of the other numbers).2. If b is the minimum value, then 10−b=7 (since 10 is the largest of the other numbers).
Solve equations: Step 3: Solve the equations from Step 2.1. b−8=7 leads to b=15.2. 10−b=7 leads to b=3.
Check value of b: Step 4: Check which value of b is among the choices given.From the calculations, b could be 3 or 15. However, only 3 is listed in the choices provided (A) 12 and (B) 3.
More problems from Mean, median, mode, and range: find the missing number