If the mean of a set of numbers is 30 and the total number of elements is 6, wha

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Question: If the mean of a set of numbers is 30 and the total number of elements is 6, what is the total sum of the elements? (2023)

Options:

Correct Answer: 180

Exam Year: 2023

Solution:

Total sum = Mean * Number of elements = 30 * 6 = 180.

If the mean of a set of numbers is 30 and the total number of elements is 6, what is the total sum of the elements? (2023)

If the mean of a set of numbers is 30 and the total number of elements is 6, what is the total sum of the elements? (2023)

Step 1: Understand that the mean (average) is calculated by dividing the total sum of the elements by the number of elements.
Step 2: Identify the mean given in the question, which is 30.
Step 3: Identify the total number of elements given in the question, which is 6.
Step 4: Use the formula for the mean: Mean = Total Sum / Number of Elements.
Step 5: Rearrange the formula to find the Total Sum: Total Sum = Mean * Number of Elements.
Step 6: Substitute the values into the formula: Total Sum = 30 * 6.
Step 7: Calculate the total sum: 30 * 6 = 180.

Mean Calculation – Understanding that the mean is calculated by dividing the total sum of elements by the number of elements.
Basic Arithmetic – Applying multiplication to find the total sum from the mean and the number of elements.