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Sagot :
The data is given as,
[tex]36\text{ , 65, 45, 50 , 65, 35, 65, 56, 42, 29.}[/tex]The mean is defined as,
[tex]A=\frac{36+65+45+50+65+35+65+56+42+29}{10}[/tex][tex]A=\frac{388}{10}[/tex]Thus the mean is 38.8.
The mode of the data is the value repeated most number of times.
[tex]\text{Mode}=\text{ 65.}[/tex]The median is determined as, first set the data in ascending order.
[tex]29,35,\text{ 36, 42, 45, }50\text{ , 56, 65, 65, 65.}[/tex][tex]\text{Median }=\frac{\lbrack(\frac{n}{2})th\text{ }+(\frac{n}{2}+1)th\rbrack}{2}[/tex]Substiute the value of n equals ot 10,
[tex]\text{Median}=\frac{\lbrack(\frac{10}{2})th+(\frac{10}{2}+1)\rbrack}{2}[/tex][tex]\text{Median}=\text{ }\frac{5th\text{ }+6th}{2}[/tex][tex]\text{Median }=\frac{45+50}{2}[/tex][tex]\text{Median}=\text{ }\frac{95}{2}[/tex]Thus, the median is 47.5
The range of the data is the difference between the highest and lowest value.
[tex]R=65-29[/tex][tex]R=36.[/tex]The range is 36.
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