If the mean of 10 numbers is 50, what is the mean of the first 5 numbers if thei

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Question: If the mean of 10 numbers is 50, what is the mean of the first 5 numbers if their sum is 200?

Options:

Correct Answer: 60

Solution:

Mean of 10 numbers = 50, so total sum = 500. Sum of last 5 numbers = 500 - 200 = 300. Mean of last 5 = 300 / 5 = 60.

If the mean of 10 numbers is 50, what is the mean of the first 5 numbers if their sum is 200?

If the mean of 10 numbers is 50, what is the mean of the first 5 numbers if their sum is 200?

Step 1: Understand that the mean of a set of numbers is calculated by dividing the total sum of the numbers by the number of numbers.
Step 2: We know the mean of 10 numbers is 50. To find the total sum of these 10 numbers, multiply the mean by the number of numbers: 50 * 10 = 500.
Step 3: We are given that the sum of the first 5 numbers is 200.
Step 4: To find the sum of the last 5 numbers, subtract the sum of the first 5 numbers from the total sum: 500 - 200 = 300.
Step 5: Now, to find the mean of the last 5 numbers, divide their sum by the number of numbers: 300 / 5 = 60.

Mean Calculation – Understanding how to calculate the mean from a set of numbers by dividing the total sum by the count of numbers.
Sum of Numbers – Recognizing that the total sum of a group of numbers can be derived from the mean and the number of elements.
Subtraction of Sums – Using the total sum to find the sum of a subset of numbers by subtracting the known sum of the other subset.