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The mean of a set of numbers is 30. If one more number, 50, is added to the set,

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Question: The mean of a set of numbers is 30. If one more number, 50, is added to the set, what will be the new mean if the original set had 10 numbers?

Options:

  1. 32
  2. 33
  3. 34
  4. 35

Correct Answer: 33

Solution: 

The original sum of the numbers is 30 * 10 = 300. Adding 50 gives a new sum of 300 + 50 = 350. The new mean is 350 / 11 = 31.82, which rounds to 32.

The mean of a set of numbers is 30. If one more number, 50, is added to the set,

Practice Questions

Q1
The mean of a set of numbers is 30. If one more number, 50, is added to the set, what will be the new mean if the original set had 10 numbers?
  1. 32
  2. 33
  3. 34
  4. 35

Questions & Step-by-Step Solutions

The mean of a set of numbers is 30. If one more number, 50, is added to the set, what will be the new mean if the original set had 10 numbers?
  • Step 1: Identify the original mean of the set of numbers, which is given as 30.
  • Step 2: Determine how many numbers are in the original set, which is given as 10.
  • Step 3: Calculate the original sum of the numbers by multiplying the mean by the number of numbers: 30 * 10 = 300.
  • Step 4: Add the new number, which is 50, to the original sum: 300 + 50 = 350.
  • Step 5: Count the new total number of numbers in the set, which is the original 10 plus the new number, making it 11.
  • Step 6: Calculate the new mean by dividing the new sum by the new total number of numbers: 350 / 11.
  • Step 7: Perform the division to find the new mean, which is approximately 31.82.
  • Step 8: Round the new mean to the nearest whole number, which is 32.
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