Question 855786
Mode is the most repeated value, so two of the numbers must be
{{{highlight(9)}}} and {{{highlight(9)}}} .
The median is a value such that as many of the numbers are lesser than the median as are greater than the median.
With five numbers, because 5 is odd, the median has to be one of the numbers,
so {{{highlight(7)}}} is one of the numbers,
and since two of the numbers are {{{9>7}}} the other two numbers must be less than {{{7}}}.
The range is the difference between the greatest and the least of the numbers.
The range is {{{5}}} the greatest of the numbers is {{{9}}} ,
so the least of the numbers is {{{9-5=highlight(4)}}} .
Knowing for of the numbers, and the mean {{{(7)}}} of the five numbers,
the fifth number, which I will call {{{x}}} , can be found from the definition of mean:
{{{(4+7+9+9+x)/5=7}}}
{{{(29+x)/5=7}}}
{{{29+x=7*5}}}
{{{29+x=35}}}
{{{x=35-29}}}
{{{x=highlight(6)}}} .
The five numbers are:
{{{highlight(4)}}} , {{{highlight(6)}}} , {{{highlight(7)}}} , {{{highlight(9)}}} and {{{highlight(9)}}} .