In a data set, the mean is 50 and the number of observations is 10. What is the

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Question: In a data set, the mean is 50 and the number of observations is 10. What is the sum of all observations?

Options:

Correct Answer: 500

Solution:

Sum = Mean * Number of Observations = 50 * 10 = 500.

In a data set, the mean is 50 and the number of observations is 10. What is the sum of all observations?

In a data set, the mean is 50 and the number of observations is 10. What is the sum of all observations?

Step 1: Understand that the mean is the average of all observations in a data set.
Step 2: Know that the mean is calculated by dividing the sum of all observations by the number of observations.
Step 3: The formula to find the sum of all observations is: Sum = Mean * Number of Observations.
Step 4: Substitute the given values into the formula: Mean = 50 and Number of Observations = 10.
Step 5: Calculate the sum: Sum = 50 * 10.
Step 6: Perform the multiplication: 50 * 10 = 500.
Step 7: Conclude that the sum of all observations is 500.

Mean Calculation – Understanding that the mean is the sum of all observations divided by the number of observations.
Basic Arithmetic – Applying multiplication to find the total sum from the mean and number of observations.