Year 2: Tally charts
Part of the Year 2 statistics chapter. Chapter overview · whole chapter on one page
Tally charts
A tally chart counts with marks. Each mark stands for one thing.
We make a group of five marks. Four marks go up, and one mark goes across them.
To count a tally, count the full groups of five first. Then count the marks left over.
Key ideas
- Each tally mark stands for one child.
- Five marks make one full group of five.
- Count the full groups of five first, then the marks left over.
- The row with the most marks is the most common way to travel.
Method. Count the bike marks in groups of five, then count the marks left over.
- Count the full groups of five. Each group has four upright marks and one line across them.2 groups of five = 10 marks
- Count the marks left over. These are not in a full group.1 left over
- Add them together. 10 and 1 make 11.10 + 1 = 11
- Write the answer. 11
Check. Count every mark one at a time, and you also get 11. ✓
Watch out. Count the groups of five first. Then count the single marks that are left over.
Method. Compare the counts. The smallest count is the fewest.
- Write down each count. Put each count next to its name.bikes 11, walk 8, bus 6
- Find the smallest count. 6 is the smallest count.smallest: 6
- Write the answer. The bus row has 6.bus
Check. Every other count is bigger than 6. ✓
Watch out. Check every count, not only the first two. The fewest is the count that is smaller than all the others.
Method. Find each count. Then take the smaller count away from the bigger one.
- Count the bikes. There are 11.bikes: 11
- Count the walk. There are 8.walk: 8
- Take the smaller count away from the bigger one. The difference is how many more or fewer.11 - 8 = 3
- Write the answer. 3
Check. Add the difference back on: 8 + 3 = 11. ✓
Watch out. Take away the smaller number from the bigger one. Do not add them.
Watch out
Watch out: count the marks in each group of five, one at a time. A full group always has five marks.
Exam tip
Grown-up tip. Make tally marks on paper for the number of socks in a pair of drawers. Ask: “How many full groups of five? How many left over?” Then count all the marks together.
Exercise 10B Tally charts
Non-calculatorMethod. Count the walk marks in groups of five, then count the marks left over.
- Count the full groups of five. Each group has four upright marks and one line across them.1 group of five = 5 marks
- Count the marks left over. These are not in a full group.4 left over
- Add them together. 5 and 4 make 9.5 + 4 = 9
- Write the answer. 9
Check. Count every mark one at a time, and you also get 9. ✓
Watch out. Count the groups of five first. Then count the single marks that are left over.
Method. Count the bike marks in groups of five, then count the marks left over.
- Count the full groups of five. Each group has four upright marks and one line across them.no full group = 0 marks
- Count the marks left over. These are not in a full group.4 left over
- Add them together. 0 and 4 make 4.0 + 4 = 4
- Write the answer. 4
Check. Count every mark one at a time, and you also get 4. ✓
Watch out. Count the groups of five first. Then count the single marks that are left over.
Method. Count the car marks in groups of five, then count the marks left over.
- Count the full groups of five. Each group has four upright marks and one line across them.2 groups of five = 10 marks
- Count the marks left over. These are not in a full group.3 left over
- Add them together. 10 and 3 make 13.10 + 3 = 13
- Write the answer. 13
Check. Count every mark one at a time, and you also get 13. ✓
Watch out. Count the groups of five first. Then count the single marks that are left over.
Method. Count the bus marks in groups of five, then count the marks left over.
- Count the full groups of five. Each group has four upright marks and one line across them.1 group of five = 5 marks
- Count the marks left over. These are not in a full group.2 left over
- Add them together. 5 and 2 make 7.5 + 2 = 7
- Write the answer. 7
Check. Count every mark one at a time, and you also get 7. ✓
Watch out. Count the groups of five first. Then count the single marks that are left over.
Method. Share the 13 marks into groups of five. Count the full groups.
- Make groups of five. Each full group has five marks.13 marks = 2 groups of five and 3 left
- Count the full groups. Only full groups of five count here.2 full groups
- Write the answer. 2
Check. 2 groups of five make 10 marks, and 3 are left over. ✓
Watch out. A group that is not full is not counted as a group.
Method. Share the 13 marks into groups of five. Count the marks left over.
- Make groups of five. Each full group has five marks.13 marks = 2 groups of five and 3 left
- Count the marks left over. These are not in a full group.3 left over
- Write the answer. 3
Check. 10 marks in full groups and 3 left over make 13. ✓
Watch out. Count only the marks that are not in a full group of five.
Method. Compare the counts. The biggest count is the most.
- Write down each count. Put each count next to its name.walk 9, bike 4, car 13, bus 7
- Find the biggest count. 13 is the biggest count.biggest: 13
- Write the answer. The car row has 13.car
Check. Every other count is smaller than 13. ✓
Watch out. Check every count, not only the first two. The most is the count that is bigger than all the others.
Method. Compare the counts. The smallest count is the fewest.
- Write down each count. Put each count next to its name.walk 9, bike 4, car 13, bus 7
- Find the smallest count. 4 is the smallest count.smallest: 4
- Write the answer. The bike row has 4.bike
Check. Every other count is bigger than 4. ✓
Watch out. Check every count, not only the first two. The fewest is the count that is smaller than all the others.
Method. Find each count. Then take the smaller count away from the bigger one.
- Count the car. There are 13.car: 13
- Count the bike. There are 4.bike: 4
- Take the smaller count away from the bigger one. The difference is how many more or fewer.13 - 4 = 9
- Write the answer. 9
Check. Add the difference back on: 4 + 9 = 13. ✓
Watch out. Take away the smaller number from the bigger one. Do not add them.
Method. Add the counts for each pair of rows. Find the pair that makes the total.
- List the pairs and their totals. Add the counts for each pair.walk 9 + bike 4 = 13; walk 9 + car 13 = 22; walk 9 + bus 7 = 16; bike 4 + car 13 = 17; bike 4 + bus 7 = 11; car 13 + bus 7 = 20
- Find the pair that makes 16. Only walk and bus make 16.16 = 16
- Write the answer. walk and bus
Check. walk and bus together make 16, and no other pair makes 16. ✓
Watch out. Check every pair. Two rows that are both bigger than the target cannot make it.
Method. Count the children who walked, then compare the number with what is said.
- Count the children who walked. There are 9.9
- Compare with what is said. Ben says 10.9 is not the same as 10
- Decide. Is Ben right?No
Check. Count them again to check: 9. ✓
Watch out. Count every one, then compare. Do not guess from the picture.