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In a data set, if the mean is 50 and the sum of all values is 500, how many valu

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Question: In a data set, if the mean is 50 and the sum of all values is 500, how many values are there?

Options:

  1. 8
  2. 9
  3. 10
  4. 11

Correct Answer: 10

Solution:

Number of values = Sum / Mean = 500 / 50 = 10.

In a data set, if the mean is 50 and the sum of all values is 500, how many valu

Practice Questions

Q1
In a data set, if the mean is 50 and the sum of all values is 500, how many values are there?
  1. 8
  2. 9
  3. 10
  4. 11

Questions & Step-by-Step Solutions

In a data set, if the mean is 50 and the sum of all values is 500, how many values are there?
  • Step 1: Understand that the mean is the average of all values in a data set.
  • Step 2: Know that the mean is calculated by dividing the sum of all values by the number of values.
  • Step 3: Use the formula: 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 given values into the formula: Number of values = 500 / 50.
  • Step 6: Calculate the result: 500 divided by 50 equals 10.
  • Mean Calculation – Understanding the relationship between mean, sum, and the number of values in a data set.
  • Basic Arithmetic – Applying division to find the number of values from the sum and mean.
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