Question

The following data set represents the age of

people in line to vote.
27, 52, 64, 41, 33, 38, 42, 60, 72,68
Mean:
Median:

Answer 1

`\huge\text{Hey there!}`

`\huge\textsf{Breaking the meaning down in simpler terms}`

`\huge\textbf{Median:}\\\large\text{is understood to be \bf the number in the center (also known as}\\\large\textbf{the middle number)}`

`\huge\textbf{Mean:}\\\large\text{is understood to be the \bf total.}`

`\huge\textsf{Formulas for each term}`

`\huge\text{Median:}\\\large\textsf{To find the median you have to put each of your numbers in your data}\\\large\textsf{set from LEAST (smallest) to GREATEST (biggest). }`

`\huge\text{Mean:}\\\mathsf{(sum\ of\ all\ terms)/(number\ of\ terms)= mean}`

`\huge\textbf{SOLVING FOR THE QUESTION}`

`\huge\textsf{Median:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textbf{Conversion: }\large\text{27, 33, 38, 41, 42, 52, 64, 68, 72}\\\\\large\textsf{Make sure it is even between both sides of the data plot.}\\\\\large\text{It seems to even on BOTH sides of \boxed{\textsf{14}} so it could possibly be your}\\\large\text{median.}`


`\huge\textsf{Mean:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textsf{Your equation: }\mathsf{(27 + 52 + 64 + 41 + 33 + 38 + 42 + 60 +72 + 68)/(10)}\\\\\mathsf{(79 + 64 + 41 + 33 + 38 + 42 + 60 + 72 + 68)/(10)}\\\\\mathsf{(143 + 41 + 33 + 38 + 42 + 60 + 72 + 68)/(10)}\\\\\mathsf{(184 + 33 + 38 + 42 + 60 + 72 + 68)/(10)}\\\\\mathsf{(217 + 38 + 42 + 60 + 72 + 68)/(10)}\\\\\mathsf{(255 + 42 + 60 + 72 + 68)/(10)}`

`\mathsf{(297 + 60 + 72 + 68)/(10)}\\\\\mathsf{(357 + 72 + 68)/(10)}\\\\\mathsf{(429 + 68)/(10)}\\\\\mathsf{(497)/(10)}\\\\\mathsf{\approx 49.70}\\\\\large\text{From the looks of it \boxed{\rm{(497)/(10)}}\ or \boxed{\text{49.70}} could possibly be your mean.}`

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