Question

below is a Doppler show me the number of hours a sample of 29th graders spend revising on a Saturday before a major test a) find the mean , median and mode of this data

Answer 1

Determine the mean of the data.

$\begin{gathered} m=\frac{0+1+1+2+3+3+3+4+4+4+4+4+4+4+5+5+6+6+7+10}{20} \\ =\frac{80}{10} \\ =8 \end{gathered}$

Mean of the data is 8.

In the data number 4 occured most number of time so mode value of this data is 4.

Arrange the number in ascending order,

$0,1,1,2,3,3,3,4,4,4,4,4,4,4,5,5,6,6,7,10$

There are 20 observations in the data. So average of (20/2)th term and (20/2 +1 )term in arranged series given the median value of data.

$\frac{20}{2}=10$$\frac{20}{2}+1=11$

The 10th term in the arranged data is 4 and 11th term in the data is 4.

Determine the average of 10th and 11th term of the data.

$\begin{gathered} \frac{4+4}{2}=\frac{8}{2} \\ =4 \end{gathered}$

So median value is 4.