Question

Consider the following data set. Round your answers to the nearest hundredth as needed.36 65 45 50 6535 65 56 42 29Mean =Median =Mode =Range =Sample Standard Deviation =Check Answer

Answer 1

The data is given as,

`36\text{ , 65, 45, 50 , 65, 35, 65, 56, 42, 29.}`

The mean is defined as,

`A=(36+65+45+50+65+35+65+56+42+29)/(10)`
`A=(388)/(10)`

Thus the mean is 38.8.

The mode of the data is the value repeated most number of times.

`\text{Mode}=\text{ 65.}`

The median is determined as, first set the data in ascending order.

`29,35,\text{ 36, 42, 45, }50\text{ , 56, 65, 65, 65.}`
`\text{Median }=\frac{\lbrack((n)/(2))th\text{ }+((n)/(2)+1)th\rbrack}{2}`

Substiute the value of n equals ot 10,

`\text{Median}=(\lbrack((10)/(2))th+((10)/(2)+1)\rbrack)/(2)`
`\text{Median}=\text{ }\frac{5th\text{ }+6th}{2}`
`\text{Median }=(45+50)/(2)`

`\text{Median}=\text{ }(95)/(2)`

Thus, the median is 47.5

The range of the data is the difference between the highest and lowest value.

`R=65-29`
`R=36.`

The range is 36.