Week 5 - Test Sydney University
sample week 5 test,
- 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 ) |