If the mean of a data set is 30 and the total number of observations is 10, what

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Question: If the mean of a data set is 30 and the total number of observations is 10, what is the total sum of the observations?

Options:

Correct Answer: 300

Solution:

Total sum = Mean * Number of observations = 30 * 10 = 300.

If the mean of a data set is 30 and the total number of observations is 10, what is the total sum of the observations?

If the mean of a data set is 30 and the total number of observations is 10, what is the total sum of the observations?

Step 1: Understand what the mean is. The mean is the average of a set of numbers.
Step 2: Know the formula to find the total sum of observations. The formula is: Total sum = Mean * Number of observations.
Step 3: Identify the mean from the question. The mean given is 30.
Step 4: Identify the number of observations from the question. The number of observations given is 10.
Step 5: Plug the values into the formula. So, Total sum = 30 (mean) * 10 (number of observations).
Step 6: Calculate the total sum. 30 * 10 = 300.
Step 7: Conclude that the total sum of the observations is 300.

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