31.0k views
0 votes
2) Find the mode and range of the following quiz scores (out of10) obtained by 10 students. 4, 6, 5, 9, 3, 2, 7, 7, 1, 8



User Mafafu
by
4.1k points

1 Answer

7 votes


\huge\text{Hey there!}


\huge\textbf{What is mode?}


\large\textsf{To make it easier to understand, \boxed{\mathsf{mode}} is the number you see MORE}\\\\\large\textsf{THAN once.}


\huge\textbf{What is range?}


\large\textsf{To make it easier to understand, \boxed{\mathsf{range}}, is the DIFFERENCE between}\\\\\large\textsf{the LARGEST (also known as the BIGGEST) number and the}\\\\\large\textsf{SMALLEST number in your data plot.}\\\\\\\large\textsf{To find your range you first look for the biggest number, then look for}\\\large\textsf{the smallest number.}


\huge\textbf{Let's look for the \boxed{\bf mode} first:}


\large\textsf{4, 6, 5, 9, 3, 2, 7, 7, 1, 8}


\textsf{4 is seen once}\\\\\textsf{6 is seen once}\\\\\textsf{5 is seen once}\\\\\textsf{9 is seen once}\\\\\textsf{3 is seen once}\\\\\textsf{2 is seen once}\\\\\textsf{7 is seen twice}\\\\\textsf{8 is seen once}


\large\textbf{The only number that I seen more than once was \boxed{\bf 7}, so}\\\large\textbf{7 could possibly be your mode.}


\huge\textbf{Lastly, let's look for the \boxed{\bf range}:}


\large\textsf{ 4, 6, 5, 9, 3, 2, 7, 7, 1, 8}


\large\textbf{Biggest number}\rightarrow\large\textbf{9}


\large\textbf{Smallest number}\rightarrow\large\textbf{1}


\large\text{Difference means subtract in mathematics so, you're subtracting}\\\large\text{those numbers from each other.}


\mathsf{9\ \boxed{-}\ 1 }


\mathsf{= 8}


\large\textbf{The \boxed{\bf range} is 8 because 9 TAKE AWAY 1 is 8.}


\huge\textbf{Answers:}


\huge\boxed{\mathsf{Mode \rightarrow 7}}\huge\checkmark


\huge\boxed{\mathsf{Range\rightarrow 8}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}

~
\frak{Amphitrite1040:)}

User Sebastian Castano
by
4.1k points