Question

Which measure of central tendency is most appropriate for the data set? Why?
133332333

Answer 1

\(\color{black}{\{1,3,3,3,3,2,3,3,3\}}\)


\(\{1,\color{blue}{3},\color{blue}{3},\color{blue}{3},\color{blue}{3},2,\color{blue}{3},\color{blue}{3},\color{blue}{3}\}\)
\({\color{blue} {\text{mode}} \text{ is } }3\)

\(\{1,2,3,3,\color{green}3,3,3,3,3\}\)
\(\color{green}{\text{median}}\text{ is }3\)

\[\color{red}{\frac{\sum\limits_{i=1}^{n}x_i}{n}}=\frac{1+3+3+3+3+2+3+3+3}{9}\]\(\color{red}{\text{mean}}\text{ is } 2\frac 23\)

Answer 2

MODE is the best

Answer 3

why is mode the best?

Answer 4

Mode is the frequent entry that is repeating again and again and here 3 is doing the same..

Answer 5

how could the mode be better than the median?

Answer 6

I think I am talking about this particular case..

Answer 7

in this particular case taking the mode of the data set will yield the same result as taking the median \(\color{black}3\),
but the mean has more information, and i think more accurately describes the set of data

Answer 8

thx :)