If the mean of a data set is 10 and the number of observations is 5, what is the

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Question: If the mean of a data set is 10 and the number of observations is 5, what is the sum of the observations?

Options:

Correct Answer: 50

Solution:

Sum = Mean * Number of observations = 10 * 5 = 50.

If the mean of a data set is 10 and the number of observations is 5, what is the sum of the observations?

If the mean of a data set is 10 and the number of observations is 5, what is the sum of the observations?

Step 1: Understand that the mean is the average of a set of numbers.
Step 2: Know that the mean is calculated by dividing the sum of all observations by the number of observations.
Step 3: The formula for the mean is: Mean = Sum of observations / Number of observations.
Step 4: Rearrange the formula to find the sum: Sum of observations = Mean * Number of observations.
Step 5: Substitute the given values into the formula: Mean = 10 and Number of observations = 5.
Step 6: Calculate the sum: Sum = 10 * 5.
Step 7: Perform the multiplication: 10 * 5 = 50.
Step 8: Conclude that the sum of the observations is 50.

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