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# How do you calculate the number in the middle of 11 and 24?

Feb 5, 2017

The difference is $24 - 11 = 13$

#### Explanation:

$11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24$

There's no real middle number ($17 \mathmr{and} 18$ share the middle), so we take the mean of $11 \mathmr{and} 24 \mathmr{and} 17 \mathmr{and} 18$:

$\frac{11 + 24}{2} = \frac{17 + 18}{2} = 17.5$

May 9, 2017

$\frac{\left(11 + 24\right)}{2} = \frac{35}{2} = 17 \frac{1}{2} = 17.5$

#### Explanation:

To find a central value, simply average the two values, which means add them together and divide by $2$

$\frac{\left(11 + 24\right)}{2} = \frac{35}{2} = 17 \frac{1}{2} = 17.5$

This has many applications in maths:

• Finding the average between two ages, two tests, etc.
• Finding the midpoint of a line: $M \left(\text{ave of x's","ave of y's}\right)$
• Finding the median of an even number of values.
• Finding the line of symmetry from the $x$ intercepts of a parabola
• Finding a fraction exactly halfway between two given fractions.
• Finding the midpoint of a class interval in statistics.

It is the same concept every time: Average the two values to find the one exactly midway between them.