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=(0+1+1+2+3+3+3+4+4+4+4+4+4+4+5+5+6+6+7+10)/(20) \\ =(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.

`(20)/(2)=10`
`(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} (4+4)/(2)=(8)/(2) \\ =4 \end{gathered}`

So median value is 4.