In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how ma

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Question: In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how many numbers are there?

Options:

Correct Answer: 8

Solution:

Number of values = Sum / Mean = 400 / 50 = 8.

In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how many numbers are there?

In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how many numbers are there?

Correct Answer: 8

Step 1: Understand that the mean (average) is calculated by dividing the sum of the numbers by the number of values.
Step 2: Identify the given values: the mean is 50 and the sum is 400.
Step 3: Use the formula for mean: Mean = Sum / Number of values.
Step 4: Rearrange the formula to find the number of values: Number of values = Sum / Mean.
Step 5: Substitute the known values into the formula: Number of values = 400 / 50.
Step 6: Calculate the result: 400 divided by 50 equals 8.
Step 7: Conclude that there are 8 numbers in the set.

Mean Calculation – Understanding the relationship between the mean, sum, and number of values in a dataset.
Basic Arithmetic – Applying division to find the number of values from the sum and mean.