Modded SAT Question Bank
by Abdullah Mallik dedicated to DPT SAT Batches and Someone Special | GitHub
We're excited to announce that we've launched a new and improved question bank with enhanced features and a more user-friendly interface.
To access the new question bank, please visit OnePrep.
We believe that this new platform will provide you with a better overall experience. Thank you for your continued support!
Test
Math
Domain
Problem-Solving and Data Analysis
Skill
One-variable data: Distributions and measures of center and spread
Difficulty
Easy
ID: 8736334b
Modded SAT Question Bank by Abdullah Mallik

Data set A consists of the 5 numbers: 72, 73, 73, 76, and 76. Data set B consists of the 5 numbers: 61, 64, 74, 85, and x.

Data set A and data set B each contain 5 numbers. If the mean of data set A is equal to the mean of data set B, what is the value of x ?

  1. 77

  2. 85

  3. 86

  4. 95


Tip: Press CTRL/Command to toggle answer
Correct Answer: C
Rationale

Choice C is correct. The mean of a data set is found by dividing the sum of the values in the data set by the number of values in the data set. Therefore, the mean of data set A is the fraction with numerator 72, plus 73, plus 73, plus 76, plus 76, and denominator 5, which simplifies to 74. The mean of data set B is represented by the equation the fraction with numerator 61, plus 64, plus 74, plus 85, plus x, and denominator 5, or the fraction with numerator 284 plus x, and denominator 5. It’s given that the mean of data set A is equal to the mean of data set B. Therefore, the equation 74 equals, the fraction with numerator 284 plus x, and denominator 5 can be used to solve for x. Multiplying both sides of this equation by 5 yields 370 equals, 284 plus x. Subtracting 284 from both sides of this equation yields 86 equals x.

Choices A, B, and D are incorrect and may result from calculation errors.

Question Difficulty: Easy
21 / 116 Next