Sum of the mean, median, and mode

Probability Level pending

What is the sum of the mean , median and mode of the numbers: 2 , 3 , 0 , 3 , 1 , 4 , 0 , 3 , 2 2,3,0,3,1,4,0,3,2 ?

5 5.5 6 6.5 7 7.5 8 8.5

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2 solutions

When summing the M e a n \mathbf{{\color{#D61F06} Mean}} , M e d i a n \mathbf{{\color{navy} Median}} , and M o d e \mathbf{{\color{#20A900} Mode}} : \\

M e a n \mathbf{{\color{#D61F06} Mean}} (Sum of digits ÷ \div number of digits) : ( 2 + 3 + 0 + 3 + 1 + 4 + 0 + 3 + 2 ) ÷ 9 = (2+3+0+3+1+4+0+3+2) \ \div \ 9 \ = 2 \mathbf{\boxed{{\color{#D61F06} 2}}} \\

M e d i a n \mathbf{{\color{navy} Median}} (The middle digit of a set of numbers in ascending/descending order): 0 , 0 , 1 , 2 , 2 , 3 , 3 , 3 , 4 = 2 0, \ 0, \ 1, \ 2, \ \boxed{2}, \ 3, \ 3, \ 3, \ 4 \ = \mathbf{\boxed{{\color{navy} 2}}} \\

M o d e \mathbf{{\color{#20A900} Mode}} (Most commonly occurring number): 0 , 0 , 1 , 2 , 2 , 3 , 3 , 3 , 4 = 3 0, \ 0, \ 1, \ 2, \ 2, \ \boxed{3, \ 3, \ 3,} \ 4 \ = \ \mathbf{\boxed{\color{#20A900} 3}}

M e a n \mathbf{{\color{#D61F06} Mean}} + + M e d i a n \mathbf{{\color{navy} Median}} + + M o d e \mathbf{{\color{#20A900} Mode}} = = 2 \mathbf{{\color{#D61F06} 2}} + + 2 \mathbf{{\color{navy} 2}} + + 3 \mathbf{{\color{#20A900} 3}} = = 7 \boxed{7}

The answer is 7 \boxed{7}

Saya Suka
Mar 24, 2021

Ascending, the numbers would be
0, 0, 1, 2, 2, 3, 3, 3, 4.

n(0) = 2
n(1) = 1
n(2) = 2
n(3) = 3
n(4) = 1

Total frequency
= 2 + 1 + 2 + 3 + 1
= 9

Total sum
= 2(0) + 1(1) + 2(2) + 3(3) + 1(4)
= 0 + 1 + 4 + 9 + 4
= 18

Mode = 3 with highest frequency of 3.

Mean = total sum ÷ total frequency
= 18 / 9 = 2

Median at (9 + 1)/2 = 5th place.
0, 0, 1, 2, { 2 } , 3, 3, 3, 4.
Median = 2

Answer = 3 + 2 + 2 = 7

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