SAT Practicea4fc06ae-2b85-4830-a27c-e248eebde1f9
Practice one SAT question at a time

Questions come from the Bluebook question bank.

  • Data Set A:
    • The horizontal axis is labeled Integer. It ranges from 10 to 60 and is divided into 5 equal intervals.
    • The vertical axis is labeled Frequency. It ranges from 0 to 12 in increments of 1, with values marked every 2 grid lines.
    • The histogram has a skewed right shape.
    • The histogram has 4 bins.
    • The Frequency data for the 4 bins are as follows:
      • 20 to 30: 3
      • 30 to 40: 4
      • 40 to 50: 7
      • 50 to 60: 9
  • Data Set B:
    • The horizontal axis is labeled Integer. It ranges from 10 to 60 and is divided into 5 equal intervals.
    • The vertical axis is labeled Frequency. It ranges from 0 to 12 in increments of 1, with values marked every 2 grid lines.
    • The histogram has a skewed right shape.
    • The histogram has 4 bins.
    • The Frequency data for the 4 bins are as follows:
      • 10 to 20: 3
      • 20 to 30: 4
      • 30 to 40: 7
      • 40 to 50: 9

Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10 , but less than 20 . The second interval represents the frequency of integers greater than or equal to 20 , but less than 30 , and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?