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Week 5 Math Olympiad

Samvrita Karthik

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Statistics

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Mean/Average

The sum of numbers divided by how many numbers are on the list.

For example, the average of 1,2,3,4,5 is, (1+2+3+4+5)/5

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Which is 15/5 = 3

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Median

The value in the middle of a data set

For example, the median of 1,2,3,4,5 is, 3 because it is the number in the middle.

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Mode

The value that occurs most in a data set

For example, the mode of 1,2,2,3,3,3,4 is, 3 because it is the number that occurs the most.

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Practice questions

  1. What is the average of 2,5,8,5, and 10?
  2. What is the average of 6,6,2,14,6, and 8?
  3. What is the mode of 1,3,5,6,6,8?
  4. What is the median of 0,0,3,9,7,4,10?

*type your answers in the chat

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Practice MO questions

Of three numbers two are ½ and ⅓ what should the third number be so that the average of all three is 1?

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Practice MO questions

Consecutive odd number are odd numbers that differ by 2 and follow in order such as 1,3,5,7. Find the first of 7 consecutive odd numbers if the average of the seven numbers is 41.

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Practice MO questions

The average of 5 numbers is 6. If one of the five numbers is removed, the average of the 4 remaining numbers is 7. What is the value of the number that was removed?