When the maximum value in a data set is exchanged for a higher
number, does it change any of the other numbers in the five-number
summary?

It doesn't change any of the other numbers of the five number summary. Only the maximum value of the data set changes, out of the five number summary of the data set.

Step-by-step explanation:

The five number summary of any data set consists of five values which includes

- The maximum value of the data set.

- The minimum values.

- The lower quartile.

- The upper quartile.

- The median.

These values are usually presented together and ordered from lowest to highest: minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), maximum value.

Replacing the maximum value with a higher number doesn't change any of the other five number summary as they all position markers, whose values do not change because of changes at one end of the distribution as the positions of the other variables n the dataset are untouched.

This means that, of the five number summary, only the maximum value of the data set changes.

Although, values like the range, mean and standard deviation also change too.

Hope this Helps!!!

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.