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SAT · Problem Solving & Data Analysis · Scatterplots, tables, and probability

Question sat-q-00158

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The question

The five values in a data set are 24, 67, 40, 52, 52. What is the mean?

  1. 235
  2. 47
  3. 40
  4. 58.8
Show answer & worked solution

Answer: 47

Worked solution. Sum the values: 235. Divide by the number of values (5): 235 / 5 = 47.

Why each wrong choice is wrong. A distractor returns the median (middle value), which equals the mean only by coincidence. Another divides by the wrong count.

Test-day tactic. Mean is sum over count. Don't confuse it with median (middle value) or mode (most frequent value).

About this question type

Items ask you to read a value off a scatterplot, to identify the line of best fit, to compute a probability or conditional probability from a two-way table, or to interpret a relative-frequency statement.

You will see a question shaped like this one on roughly every other official SAT form, typically at a moderate position in the section — solidly within the range that separates a 600-band student from a 700-band student. Treat any miss in this subtopic as a signal to drill the subtopic page before you do another full practice test.

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