Attend live General Mathematics sessions on Nagwa Classes to learn more about this topic from an expert teacher!

Find in terms of π₯, the arithmetic mean of 8π₯ + 8 and 6π₯ + 22.

Find in terms of π₯, the arithmetic mean of eight π₯ plus eight and six π₯ plus 22.

To find an arithmetic mean, we divide the sum of the values by the number of values. In this instance, we have two values: eight π₯ plus eight and six π₯ plus 22. We need to take the sum of these two values and divide by two. We can simplify the numerator by combining like terms. Eight π₯ plus six π₯ equals 14π₯, and eight plus 22 equals 30. We can rewrite our numerator as 14π₯ plus 30 and then divide this numerator by two. As both terms in the numerator are even, we simply divide 14π₯ by two and divide 30 by two. 14π₯ divided by two is seven π₯, and 30 divided by two is 15.

The arithmetic mean of eight π₯ plus eight and six π₯ plus 22 is equal to seven π₯ plus 15. Itβs also worth noticing that seven π₯ is halfway between six π₯ and eight π₯, and 15 is halfway between eight and 22. This means that it wouldβve been possible to work out the arithmetic mean in this case by inspection. In either case, you would find that the arithmetic mean is seven π₯ plus 15.

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy