AI generatedProbabilityKey Stage 3

Completing a frequency tree

Completing a frequency tree.

  • A frequency tree records counts, not probabilities.
  • The counts leaving a branch point add to the count arriving there.
  • For a probability, divide the relevant final count by the correct total.

Example 1

The tree records 24 pupils. Complete the missing frequencies.

Frequency tree for 24 pupilsTravelClubWalk12Yes8No?Bus?Yes7No?
BusBranches from the total must add to the total.
Walk, no clubSplit the walk group.
Bus, no clubSplit the bus group.
Bus: 12; walk/no club: 4; bus/no club: 5.
Frequency tree for 24 pupilsTravelClubWalk12Yes8No4Bus12Yes7No5

Example 2

The tree records 26 pupils. Complete the missing frequencies.

Frequency tree for 26 pupilsTravelClubWalk13Yes9No?Bus?Yes8No?
BusBranches from the total must add to the total.
Walk, no clubSplit the walk group.
Bus, no clubSplit the bus group.
Bus: 13; walk/no club: 4; bus/no club: 5.
Frequency tree for 26 pupilsTravelClubWalk13Yes9No4Bus13Yes8No5

Your turn

Question 1

The tree records 28 pupils. Complete the missing frequencies.

Frequency tree for 28 pupilsTravelClubWalk14Yes10No?Bus?Yes9No?
Check answer
BusBranches from the total must add to the total.
Walk, no clubSplit the walk group.
Bus, no clubSplit the bus group.
Bus: 14; walk/no club: 4; bus/no club: 5.
Frequency tree for 28 pupilsTravelClubWalk14Yes10No4Bus14Yes9No5
Question 2

The tree records 31 pupils. Complete the missing frequencies.

Frequency tree for 31 pupilsTravelClubWalk16Yes11No?Bus?Yes10No?
Check answer
BusBranches from the total must add to the total.
Walk, no clubSplit the walk group.
Bus, no clubSplit the bus group.
Bus: 15; walk/no club: 5; bus/no club: 5.
Frequency tree for 31 pupilsTravelClubWalk16Yes11No5Bus15Yes10No5
Question 3

The tree records 33 pupils. Complete the missing frequencies.

Frequency tree for 33 pupilsTravelClubWalk17Yes12No?Bus?Yes11No?
Check answer
BusBranches from the total must add to the total.
Walk, no clubSplit the walk group.
Bus, no clubSplit the bus group.
Bus: 16; walk/no club: 5; bus/no club: 5.
Frequency tree for 33 pupilsTravelClubWalk17Yes12No5Bus16Yes11No5
Question 4

The tree records 36 pupils. Complete the missing frequencies.

Frequency tree for 36 pupilsTravelClubWalk18Yes13No?Bus?Yes12No?
Check answer
BusBranches from the total must add to the total.
Walk, no clubSplit the walk group.
Bus, no clubSplit the bus group.
Bus: 18; walk/no club: 5; bus/no club: 6.
Frequency tree for 36 pupilsTravelClubWalk18Yes13No5Bus18Yes12No6
Question 5

The tree records 39 pupils. Complete the missing frequencies.

Frequency tree for 39 pupilsTravelClubWalk20Yes14No?Bus?Yes13No?
Check answer
BusBranches from the total must add to the total.
Walk, no clubSplit the walk group.
Bus, no clubSplit the bus group.
Bus: 19; walk/no club: 6; bus/no club: 6.
Frequency tree for 39 pupilsTravelClubWalk20Yes14No6Bus19Yes13No6