Question

Calculate the arithmetic mean, range, median and mode of the given data:

$2,4,7,4,9,5,7,3,6,7$

Answer 1

Arithmetic mean$=\frac{sumofobservations}{numberofobservations}$

$=\frac{2+4+7+4+9+5+7+3+6+7}{10}$

$=\frac{54}{10}=5.4$

Median:

Arranging the data in ascending order:

$2,3,4,4,5,6,7,7,7,9$

Here the middle terms are $5$ and $6$

The average of $5$ and $6=\frac{5+6}{2}=\frac{11}{2}=5.5$

$\therefore$ Median$=5.5$

Mode:The most repeating values is $7$.

$\therefore$ Mode is $7$

Range$=$Highest observation$-$Lowest observation$=9-2=7$