WILL GIVE 1ST RIGHT ANSWER BRAINIEST!
After two numbers are removed from the list 9,13,15,17,19,23,31,49, the average and the median each increase by 2. What is the product of the two numbers that were removed?

Respuesta :

Answer:

247

Step-by-step explanation:

Hello!

We can begin by finding the average and median before two numbers are removed.

(9 + 13 + 15 + 17 + 19 + 23 + 31 + 49) / 8  = 22

And the median!

(17 + 19)/ 2  =  18

Since we know that the average and median will increase by 2, we will have the median after removal as 20, and the average, 24.

For the average, we can see that the total must be 144, that's what 24 * 6 is.

19 must have been one of the numbers because (17 + 23) / 2  = 20.

That's 32 less than the original sum of 176.

So if one of the removed numbers is 19, the other must be 13.

13 * 19 = 247

Thus, the product of the removed numbers are [tex]\boxed{247}[/tex].

Hope this helps!