If the mean of a data set is 20 and there are 5 values, what is the total sum of

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Question: If the mean of a data set is 20 and there are 5 values, what is the total sum of the values? (2022)

Options:

Correct Answer: 100

Exam Year: 2022

Solution:

Total sum = Mean * Number of values = 20 * 5 = 100

If the mean of a data set is 20 and there are 5 values, what is the total sum of the values? (2022)

If the mean of a data set is 20 and there are 5 values, what is the total sum of the values? (2022)

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 total sum of the values by the number of values.
Step 3: The formula for the mean is: Mean = Total Sum / Number of Values.
Step 4: Rearrange the formula to find the total sum: Total Sum = Mean * Number of Values.
Step 5: Substitute the given values into the formula: Total Sum = 20 * 5.
Step 6: Calculate the total sum: 20 * 5 = 100.

Mean Calculation – Understanding that the mean is 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.