This set of data is the tuition for various universities $700.00,$773.00,$810.00,$1299.00,$1307.00,$1440.00what is the mean,mode,median,and range ?

Respuesta :

Let's begin by listing out the information given to us in orderly fashion:

$700.00, $773.00, $810.00, $1299.00, $1307.00, $1440.00

Mean refers to the average value of the data

[tex]\begin{gathered} \mu=\frac{\Sigma fx}{n}=\frac{700+773+810+1299+1307+1440}{6} \\ \mu=\frac{6329}{6}=1054.83 \end{gathered}[/tex]

Mode refers to the most recurring value of the data

Every element appeared just once, hence the data is multimodal

Median refers to the middle element of the data set when it has been arranged in an orderly manner

Since there are 6 elements in this data set, the median will be obtained by dividing the sum of the third & fourth element in the array by 2

[tex]\begin{gathered} m=\frac{810+1299}{2}=\frac{2109}{2} \\ m=1054.5 \end{gathered}[/tex]

Range refers to the difference between the maximum & minimum value of the data set

[tex]r=1440-700=740[/tex]