Question

The mean of 13 numbers is 50. removing one of the numbers causes the mean to decrease to 44. what number was removed?​

Answer 1

122

Explanation:

Let's denote the number that was removed as x. We know that the mean of the original 13 numbers is 50.

The sum of the original 13 numbers is

`13 * \text{mean} = 13 * 50 = 650\\`

Now, if we remove the number x from the original set of 13 numbers, the new set will have 12 numbers, and the mean will decrease to 44.

The sum of the new 12 numbers is

`12 * \text{new mean} = 12 * 44 = 528`

To find the number that was removed (x), we can subtract the sum of the new 12 numbers from the sum of the original 13 numbers:

`650 - 528 = 122`

So, the number that was removed is 122.