the mean of 11 numbers is 7. one of the numbers, 13, is deleted. what is the mean of the remaining 10 numbers?

Respuesta :

The mean is the average of the numbers, so if x = all 11 numbers added together, then you have the equation:

x / 11 = 7, so x = 77 (this is all of the numbers added together)

if the number 13 is removed, the equation becomes:

(77 - 13) / 10 = M    (M is the new mean)

so the new mean is 6.4


The mean of the remaining 10 numbers is 6.4

From the question, the mean of 11 numbers is 7.

Recall that mean is the average of a given set of numbers. To calculate the mean of a given set of numbers, add up all the numbers, then divide by how many numbers there are.

Also from the question, one of the numbers is 13. Let the sum of the remaining numbers be x

∴ [tex]\frac{x+13}{11} = 7[/tex]

Then, x + 13 = 11 × 7

x + 13 = 77

x = 77 - 13

x = 64

∴ The sum of the remaining 10 numbers is 64

But, Mean = Sum of numbers / Count of numbers

∴ Mean of the remaining 10 numbers is

Mean = 64 / 10

Mean = 6.4

Hence, the mean of the remaining 10 numbers is 6.4

Learn more on mean here: https://brainly.com/question/21193324