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Sagot :
Given:
The measurements are listed 6,9,2,5,4,10,3,12,2,7,7,8 .
Required:
To find mean median mode range variance and standard deviation.
Explanation:
(1)
Mean =
[tex]=\frac{6+9+2+5+4+10+3+12+2+7+7+8}{12}[/tex][tex]\begin{gathered} =\frac{75}{12} \\ \\ =6.25 \end{gathered}[/tex](2)
Median : Is the middle value when the data values have been sorted (or the average of the 2 middle values if there are an even number of data values).
[tex]2,2,3,4,5,6,7,7,8,9,10,12[/tex]Now the middle terms are 6 and 7.
[tex]\begin{gathered} =\frac{6+7}{2} \\ \\ =6.5 \end{gathered}[/tex](3)
Mode: Is the data value(s) the occur with the greatest frequency.
Therefore, 2 and 7 are modes.
(4)
Range:
Range shows the mathematical distance between the lowest and highest values in the data set.
Therefore, from the given data 2 is the lowest value and 12 is the highest value,
[tex]\begin{gathered} =12-2 \\ =10 \end{gathered}[/tex]Final Answer:
Mean : 6.25
Median : 6.5
Mode : 2 and 7
Range: 10
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