Question 1
The following grouped frequency table shows the time taken by a class of students to finish the 1500m.
Find the modal group
Select the correct answer from the list below:
A: Modal Group = 8<t\leq10
B: Modal Group = 6<t\leq8
C: Modal Group = 0<t\leq6
D: Modal Group = 12<t\leq14
CORRECT ANSWER: A: Modal Group = 8<t\leq10
WORKED SOLUTION:
Select the group with the largest number of finishers, which in this case is the group, 8<t\leq10.
Level 5
Question 2
The following grouped frequency table shows the time taken by a class of students to finish the 1500m.
Find the group which contains the median finishing time.
Select the correct answer from the list below:
A: Median Group = 8<t\leq10
B: Median Group = 10<t\leq12
C: Median Group = 6<t\leq8
D: Median Group = 12<t\leq14
CORRECT ANSWER: A: Median Group = 8<t\leq10
WORKED SOLUTION:
There are a total of 45 students that finished the race.
Therefore the median time is the between the 22nd and 22rd placed finishers.
This value lies within the 8<t\leq10 group.
Level 5
Question 3
The following grouped frequency table shows the time taken by a class of students to finish the 1500m.
Three students were not present when the first 1500m was run.
They complete the race at a later date.
Their times are:
6.5 minutes
7 minutes
7.5 minutes
Including these three students, find the group in which the median time lies.
Select the correct answer from the list below:
A: Median Group = 8<t\leq10
B: Median Group = 10<t\leq12
C: Median Group = 6<t\leq8
D: Median Group = 12<t\leq14
CORRECT ANSWER: A: Median Group = 8<t\leq10
WORKED SOLUTION:
There are now a total of 48 students that finished the race.
Therefore the median time is the 24th placed finisher.
This value lies within the 8<t\leq10 group.
Level 5
Question 4
The grouped frequency table below shows the time taken for 55 international flights out of an airport.
Find the modal group of flight times.
Select the correct answer from the list below:
A: 4<t\leq6
B: 0<t\leq2
C: 6<t\leq10
D: 2<t\leq4
CORRECT ANSWER: D: 2<t\leq4
WORKED SOLUTION:
Select the group with the largest number of flights, which in this case is the group, 2<t\leq4
Level 5
Question 5
The grouped frequency table below shows the time taken for 55 international flights out of an airport.
Find the group in which the median flight time lies.
Select the correct answer from the list below:
A: 4<t\leq6
B: 0<t\leq2
C: 6<t\leq10
D: 2<t\leq4
CORRECT ANSWER: A: 4<t\leq6
WORKED SOLUTION:
There are a total of 55 flights.
Therefore the median time is the between the 27th and 28th fight.
This value lies within the 4<t\leq6 group.
Level 5