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Kazakhstan FAIO 2024 · Statement

A. Math Test Results

Formatted by IOAI Training from the original (BeksultanSagyndyk/faio-tasks, licence Apache-2.0). The original is authoritative.

https://contest.yandex.ru/contest/69765/problems/A/

🧮 Math Test Problem

A math test was conducted in a class of 30 students. The results were distributed as follows:

  • Average (mean) score: 75
  • Median score: 78
  • Standard deviation: 5

Later, two more students were added to the results, each of whom received 90 points. Based on the new information, answer the following questions:


Questions

  1. What is the new average score?
    Enter a number with an accuracy of two decimal places.

  2. After adding two students, the median test score remained 78.
    The teacher announced that any student whose score exceeds the median by the amount of the new standard deviation will receive special praise.

    Darkhan, who initially received 78 points, wants to receive this praise.
    He is allowed to retake the test once to improve his score.

    What is the minimum score Darkhan should get on retake in order to receive praise?
    Enter an integer.


Output Format

Enter the answers separated by a space.
Example:

23.21 45


✅ Answer

76.00 83