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If the mean of a data set is 20 and there are 10 values, what is the total sum o

Practice Questions

Q1
If the mean of a data set is 20 and there are 10 values, what is the total sum of the values?
  1. 200
  2. 150
  3. 100
  4. 250

Questions & Step-by-Step Solutions

If the mean of a data set is 20 and there are 10 values, what is the total sum of the values?
  • Step 1: Understand that the mean (average) is calculated by adding all the values together and then dividing by the number of values.
  • Step 2: The formula for the mean is: Mean = Total Sum / Number of Values.
  • Step 3: Rearrange the formula to find the Total Sum: Total Sum = Mean * Number of Values.
  • Step 4: Substitute the given values into the formula: Total Sum = 20 (mean) * 10 (number of values).
  • Step 5: Calculate the total sum: 20 * 10 = 200.
  • Mean Calculation – Understanding that the mean is calculated as the total sum of values divided by the number of values.
  • Basic Arithmetic – Applying multiplication to find the total sum from the mean and the number of values.
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