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Dropdown📘 S.ID.A.4🧠 DOK 1

Question:

A researcher is analyzing the test scores of a large group of high school students. The scores are normally distributed with a mean of 75 and a standard deviation of 10. What percentage of students scored below 65?

Answer Choices:

  • A) 16%
  • B) 32%
  • C) 50%
  • D) 68%
✅ Answer:
16%

💡 Explanation:

  • In a normal distribution, scores below one standard deviation from the mean (mean - 1 standard deviation) account for approximately 16% of the data.

  • Since the mean is 75 and the standard deviation is 10, scores below 65 (which is one standard deviation below the mean) represent 16% of the population.

Standard: S.ID.A.4 | DOK: 1

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