# What is the average of 75 and 105?

Feb 14, 2017

Average (mean) = $90$

#### Explanation:

There are 3 different types of "average" - but I assume this refers to the "mean".

To find an average (or the mean) of two numbers, add them together and divide by 2.

In general, Mean = $\text{sum of all the values"/"the number of values}$

Average = $\frac{75 + 105}{2} = \frac{180}{2} = 90$

From this we can see that:

One value is above and one is below the average.
They differ from the mean by the same amount so that the mean is exactly between them.
The text contains a mathematical question asking for the average of two numbers, and it provides a detailed answer including the calculation and explanation.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# What is the average of 75 and 105?

Feb 14, 2017

Average (mean) = $90$

#### Explanation:

There are 3 different types of "average" - but I assume this refers to the "mean".

To find an average (or the mean) of two numbers, add them together and divide by 2.

In general, Mean = $\text{sum of all the values"/"the number of values}$

Average = $\frac{75 + 105}{2} = \frac{180}{2} = 90$

From this we can see that:

One value is above and one is below the average.
They differ from the mean by the same amount so that the mean is exactly between them.
user
The text contains a mathematical question asking for the average of two numbers, and it provides a detailed answer including the calculation and explanation.

TYPE: SINGLE_QUESTION_WITH_ANSWER