Comparing mean, median ,mode

Compare the mean, median and mode for the set of numbers

{ 3 , 4 , 6 , 7 , 7 , 7 , 8 , 9 , 9 , 10 } \{3, 4, 6, 7, 7, 7, 8, 9, 9, 10\}

Which of the following is true?

The mean is the greatest. The median is the greatest. The mode is the greatest. The mean, median and mode are equal.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Jonathan Quarrie
Jul 9, 2017

Mean = Sum of the set Number of elements in the set \dfrac{\text{Sum of the set}}{\text{Number of elements in the set}} = ( 3 + 4 + 6 + 7 + 7 + 7 + 8 + 9 + 9 + 10 ) 10 \dfrac{(3+4+6+7+7+7+8+9+9+10)}{10} = 70 10 \dfrac{70}{10} = 7 \boxed{7}


Median = The middle value of a set of linear values, which separates the higher and lower halves. But where there is an even number of elements in the set, the Mean of the two middle-most values is used = ( 3 , 4 , 6 , 7 , 7 , 7 , 8 , 9 , 9 , 10 ) (3,4,6,7,\color{#D61F06}7\color{#333333},\color{#D61F06}7\color{#333333},8,9,9,10) = 7 + 7 2 \dfrac{\color{#D61F06}7\color{#333333}+\color{#D61F06}7}{2} = 7 \boxed{7}


Mode = The value that appears most often = ( 3 , 4 , 6 , 7 , 7 , 7 , 8 , 9 , 9 , 10 ) (3,4,6,\color{#D61F06}7\color{#333333},\color{#D61F06}7\color{#333333},\color{#D61F06}7\color{#333333},8,9,9,10) = 7 \boxed{7}


The mean, median and mode are equal. \large\boxed{\text{The mean, median and mode are equal.}}

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...