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Week 5 - Test Sydney University

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sample week 5 test,

  1. a)Suppose 10 students do a test and the marks are
    20,30,20,40,50,50,50,30,20,50,
     table and histogram describes the distribution of the variable marks find the missing values  on the table

 Mark

frequency  

20

The number of student that get the mark of 20 = 3 

30

The number of students that get the mark of 30 = 2

40

50

[pic 1]

Solution

Mark

frequency  

20

The number of student that get the mark of 20 = 3 

30

The number of students that get the mark of 30 = 2

40

The number of students that get the mark of 40 = 1

50

The number of students that get the mark of 50 = 4



2 b) Suppose 10 students do a test and the marks are
20,30,20,40,50,50,50,30,20,50,
The both the table and percentile plot given below describes the distribution of the variable marks, find the missing values in the table

Mark

Proportion of marks less than the  mark on the current row  

20

 P(Mark <20) = 0/10=0 (0 out of 10 students got a mark less than  20 )

30

P(Mark<30) = 3/10=0.3 (3 out of 10 students got a mark less than  30 )

40

P(Mark<40) =

50

P(mark<50) =

[pic 2]

Solution

Mark

Proportion of marks less than the  mark on the current row  

20

 P(Mark <20) = 0/10=0 (0 out of 10 students got a mark less than  20 )

30

P(Mark<30) = 3/10=0.3 (3 out of 10 students got a mark less than  30 )

40

P(Mark<40) =5/10=0.5 ( 5 out of 10 students got a mark less than 40 )

50

P(mark<50) = 6/10=0.6 ( 6 out of 10 students got a mark less than 50 )


3(c)
Suppose 10 students do a test and the marks are
20,30,20,40,50,50,50,30,20,50,
The both the table and percentile plot given below describes the distribution of the variable marks, find the missing values in the table

Mark

Proportion of marks less than or equal to the mark on the current row  

20

 P(Mark ≤20) = 3/10=0.3 (3 out of 10 students got a mark less than or equal to 20 )

30

P(Mark≤30) = 5/10=0.5 (5 out of 10 students got a mark  less than or equal to 30 )

20

 P(Mark ≤20) = 3/10=0.3 (3 out of 10 students got a mark  less than or equal to 20 )

40

P(Mark≤40) =

50

P(mark≤50) = 10/10=1 (10 out of 10 students got a mark  less than or equal to 50 )

50

P(Mark ≤50)= 10/10=1 (10 out of 10 students got a mark  less than or equal to 50 )

50

P(Mark ≤50)= 10/10=1 (10 out of 10 students got a mark   less than or equal to 50)

30

P(Mark≤30) = 5/10=0.2 (5 out of 10 students got a mark   less than or equal to 30 )

50

P(Mark ≤50)= 10/10=1 (10 out of 10 students got a mark   less than or equal to 50 )

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