Question

What value of x will make the mean of 9, 16, and x equal to the mean of 26 and 12?

a) 10
b) 15
c) 18
d) 20

Answer 1

The mean of 26 and 12 is the same as the midpoint of those values.

Add them up. Divide by 2.

(26+12)/2 = 38/2 = 19

So we want this set {9,16,x} to have the mean of 19.

Add that trio of values, divide by 3, and set the result equal to 19 so we can solve for x.

(9+16+x)/3 = 19

(25+x)/3 = 19

25+x = 3*19

25+x = 57

x = 57-25

x = 32

It seems strange why 32 isn't listed as one of the answer choices. Perhaps your teacher made a typo.

Answer 2

The value of x that would make the mean of 9, 16, and x equal to the mean of 26 and 12 is 32. Since this is not one of the provided options, there may be an error in the question or the options.

Step-by-step explanation:

The question involves determining the value of x that will equate the mean of two sets of numbers. To solve this, we calculate the mean of the first set (9, 16, x) and set it equal to the mean of the second set (26, 12), and then solve for x.

First, let's find the mean of the second set of numbers:

Mean = (26 + 12) / 2 = 38 / 2 = 19.

Now, set up an equation using the mean of the first set:

(9 + 16 + x) / 3 = 19.

Multiply both sides by 3:

9 + 16 + x = 19 * 3,

25 + x = 57,

Subtract 25 from both sides to find the value of x:

x = 57 - 25,

x = 32.

However, since 32 is not one of the provided options, the initial premise or question may be incorrect, or there may be a typo in the options provided.