Year 2 Statistics: check-up and quiz

Method. Count the pizzas once each, touching each one.

1. Touch each one once. Say the number as you touch each one.
   1 2 3 4 5 6 7 8 9
2. Read the last number. The last number is how many there are.
   9
3. Write the answer.
   9

Check. Count them again from the other end. You get 9 again. ✓

Watch out. Move each one to one side as you count it, so you do not count it twice.

Method. Count the sandwiches once each, touching each one.

1. Touch each one once. Say the number as you touch each one.
   1 2 3 4 5 6
2. Read the last number. The last number is how many there are.
   6
3. Write the answer.
   6

Check. Count them again from the other end. You get 6 again. ✓

Watch out. Move each one to one side as you count it, so you do not count it twice.

Method. Compare the counts. The smallest count is the fewest.

1. Write down each count. Put each count next to its name.
   apples 4, sandwiches 6, pizzas 9, carrots 2
2. Find the smallest count. 2 is the smallest count.
   smallest: 2
3. Write the answer. The carrots row has 2.
   carrots

Check. Every other count is bigger than 2. ✓

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.

1. Count the pizzas. There are 9.
   pizzas: 9
2. Count the apples. There are 4.
   apples: 4
3. Take the smaller count away from the bigger one. The difference is how many more or fewer.
   9 - 4 = 5
4. Write the answer.
   5

Check. Add the difference back on: 4 + 5 = 9. ✓

Watch out. Take away the smaller number from the bigger one. Do not add them.

Method. Find each count, then add them all together.

1. Write down each count. Each count is one row.
   apples 4, sandwiches 6, pizzas 9, carrots 2
2. Add the counts together. Add them all, so none is missed.
   4 + 6 + 9 + 2 = 21
3. Write the answer.
   21

Check. Add them in the other order to check: 2 + 9 + 6 + 4 = 21. ✓

Watch out. Make sure every row is in your total, and no row is counted twice.

Method. Find each count, then put the rows in order of their counts, fewest first.

1. Write down each count. Put each count next to its name.
   apples 4, sandwiches 6, pizzas 9, carrots 2
2. Put the counts in order, fewest first. Start from the smallest count.
   2 → 4 → 6 → 9
3. Write the order.
   carrots, apples, sandwiches, pizzas

Check. Check that each count is bigger than the one before it. ✓

Watch out. Compare the counts, not the names. The longest name does not mean the biggest count.

Method. Count the pears marks in groups of five, then count the marks left over.

1. Count the full groups of five. Each group has four upright marks and one line across them.
   2 groups of five = 10 marks
2. Count the marks left over. These are not in a full group.
   3 left over
3. Add them together. 10 and 3 make 13.
   10 + 3 = 13
4. 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. Add the counts for each pair of rows. Find the pair that makes the total.

1. List the pairs and their totals. Add the counts for each pair.
   apples 4 + sandwiches 6 = 10; apples 4 + pizzas 9 = 13; apples 4 + carrots 2 = 6; sandwiches 6 + pizzas 9 = 15; sandwiches 6 + carrots 2 = 8; pizzas 9 + carrots 2 = 11
2. Find the pair that makes 10. Only apples and sandwiches make 10.
   10 = 10
3. Write the answer.
   apples and sandwiches

Check. apples and sandwiches together make 10, and no other pair makes 10. ✓

Watch out. Check every pair. Two rows that are both bigger than the target cannot make it.

Method. Work out the count you need, then find the row with that count.

1. Work out the count you need. The pizzas have 9. Take away 3: 6.
   6
2. Find the row with 6. The sandwiches row has 6.
   sandwiches: 6
3. Write the answer.
   sandwiches

Check. Count the sandwiches to check: 6. ✓

Watch out. Work out the number first. Then look for it in the rows.

Method. Add up each side of the claim, then compare the two totals.

1. Add the counts for sandwiches and carrots. They make 8 altogether.
   6 + 2 = 8
2. Add the counts for pizzas. They make 9 altogether.
   9 = 9
3. Compare the two totals. 8 is fewer than 9.
   No

Check. The claim compares sandwiches and carrots with pizzas. It is not right. ✓

Watch out. Add the counts on each side first. Then compare the totals, not the single rows.

Method. Count the stars once each, touching each one.

1. Touch each one once. Say the number as you touch each one.
   1 2 3 4 5 6 7 8
2. Read the last number. The last number is how many there are.
   8
3. Write the answer.
   8

Check. Count them again from the other end. You get 8 again. ✓

Watch out. Move each one to one side as you count it, so you do not count it twice.

Method. Count the frogs marks in groups of five, then count the marks left over.

1. Count the full groups of five. Each group has four upright marks and one line across them.
   2 groups of five = 10 marks
2. Count the marks left over. These are not in a full group.
   1 left over
3. Add them together. 10 and 1 make 11.
   10 + 1 = 11
4. 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 biggest count is the most.

1. Write down each count. Put each count next to its name.
   pink 6, orange 3, purple 8
2. Find the biggest count. 8 is the biggest count.
   biggest: 8
3. Write the answer. The purple row has 8.
   purple

Check. Every other count is smaller than 8. ✓

Watch out. Check every count, not only the first two. The most is the count that is bigger than all the others.

Method. Find each count. Then take the smaller count away from the bigger one.

1. Count the hats. There are 4.
   hats: 4
2. Count the bags. There are 2.
   bags: 2
3. Take the smaller count away from the bigger one. The difference is how many more or fewer.
   4 - 2 = 2
4. Write the answer.
   2

Check. Add the difference back on: 2 + 2 = 4. ✓

Watch out. Take away the smaller number from the bigger one. Do not add them.

Method. Find each count, then add them all together.

1. Write down each count. Each count is one row.
   pears 3, lemons 7, grapes 5
2. Add the counts together. Add them all, so none is missed.
   3 + 7 + 5 = 15
3. Write the answer.
   15

Check. Add them in the other order to check: 5 + 7 + 3 = 15. ✓

Watch out. Make sure every row is in your total, and no row is counted twice.

Method. Find the row for lemons. Then read the number in that row.

1. Find the row for lemons. The row for lemons is in the table.
   lemons
2. Read the number in the right-hand column. That number is how many chose it.
   lemons: 7
3. Write the answer.
   7

Check. Read the same row again. The number is still 7. ✓

Watch out. Read along the row to its number. Do not read the number from the row above or below.

Method. Find each count, then put the rows in order of their counts, fewest first.

1. Write down each count. Put each count next to its name.
   cats 3, bees 6, ducks 1
2. Put the counts in order, fewest first. Start from the smallest count.
   1 → 3 → 6
3. Write the order.
   ducks, cats, bees

Check. Check that each count is bigger than the one before it. ✓

Watch out. Compare the counts, not the names. The longest name does not mean the biggest count.

Method. Add the counts for each pair of rows. Find the pair that makes the total.

1. List the pairs and their totals. Add the counts for each pair.
   boats 2 + kites 5 = 7; boats 2 + bikes 7 = 9; kites 5 + bikes 7 = 12
2. Find the pair that makes 9. Only boats and bikes make 9.
   9 = 9
3. Write the answer.
   boats and bikes

Check. boats and bikes together make 9, and no other pair makes 9. ✓

Watch out. Check every pair. Two rows that are both bigger than the target cannot make it.

Method. Add the counts you can see. Then take the sum away from the total.

1. Add the counts you can see. These counts are shown in the table.
   6 + 4 = 10
2. Take the sum away from the total of 20. The hidden count for biscuits is what is left.
   20 - 10 = 10
3. Write the answer.
   10

Check. Add the hidden count back on: 10 + 10 = 20. ✓

Watch out. Use the total to find the hidden number. Do not guess it from the picture.

Method. Add up each side of the claim, then compare the two totals.

1. Add the counts for lemons. They make 7 altogether.
   7 = 7
2. Add the counts for pears and grapes. They make 8 altogether.
   3 + 5 = 8
3. Compare the two totals. 7 is fewer than 8.
   No

Check. The claim compares lemons with pears and grapes. It is not right. ✓

Watch out. Add the counts on each side first. Then compare the totals, not the single rows.