In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how ma

Practice Questions

Q1
In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how many numbers are there?
  1. 6
  2. 7
  3. 8
  4. 9

Questions & Step-by-Step Solutions

In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how many numbers are there?
Correct Answer: 8
  • Step 1: Understand that the mean (average) is calculated by dividing the sum of the numbers by the number of values.
  • Step 2: Identify the given values: the mean is 50 and the sum is 400.
  • Step 3: Use the formula for mean: Mean = Sum / Number of values.
  • Step 4: Rearrange the formula to find the number of values: Number of values = Sum / Mean.
  • Step 5: Substitute the known values into the formula: Number of values = 400 / 50.
  • Step 6: Calculate the result: 400 divided by 50 equals 8.
  • Step 7: Conclude that there are 8 numbers in the set.
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