Steply

Bar charts and dot plots

Statistics · 20 problems, easy to harder

▶ Watch the first one solved

How we do it

  1. Draw the axes
  2. Draw the bars
  3. Read the chart
  4. Check

The steps for Bar chart: red 5, blue 8, green 3, yellow 6. Every solution names its steps, so you always know what comes next.

Worked examples

Bar chart: red 5, blue 8, green 3, yellow 6 Easy

The question

Question: draw a bar chart of red 5, blue 8, green 3 and yellow 6.

Which is the most?

red 5, blue 8, green 3, yellow 6

1 Draw the axes

The names go along the bottom.

The numbers go up the side.

The side counts in 1s, starting at 0.

Careful!

The side always starts at 0.

Then the bars compare fairly.

Careful: the side starts at 0

2 Draw the bars

Red: 5.

Its bar goes up to 5 on the side.

Blue: 8.

Green: 3.

All the bars have the same width, with gaps between them.

3 Read the chart

The tallest bar is blue.

Across to the side: it reaches 8.

So the most is blue, with 8.

= most: blue (8)

4 Check

Let's check with the numbers: 8 is bigger than all the others.

So it is right!

8 > 5, 3, 6

Let's look back.

First: draw the axes.

Then: draw the bars.

Then: read the chart.

Last: check.

Answer
= most: blue (8)

▶ Watch it solved

Bar chart: cats 12, dogs 17, fish 6; how many more dogs than fish Medium

The question

Question: draw a bar chart of cats 12, dogs 17 and fish 6.

How many more dogs than fish?

cats 12, dogs 17, fish 6

1 Draw the axes

The names go along the bottom.

The numbers go up the side.

The biggest number is 17.

So the side counts in 2s, starting at 0.

Each line on the side is 2 more.

1 line = 2

2 Draw the bars

Cats: 12.

Its bar goes up to 12 on the side.

Dogs: 17.

17 is between 16 and 18.

Fish: 6.

All the bars have the same width, with gaps between them.

3 Read the chart

Careful!

The side counts in 2s.

So read the number on the side, not how many squares.

Careful: read the side, not the squares

Dogs reaches 17.

Fish reaches 6.

How many more: we take away.

17 minus 6.

= dogs − fish = 17 − 6

17 minus 6 is 11.

So there are 11 more dogs than fish.

= dogs − fish = 11

4 Check

Let's check: 6 plus 11 is 17.

So it is right!

6 + 11 = 17

Let's look back.

First: draw the axes.

Then: draw the bars.

Then: read the chart.

Last: check.

Answer
= dogs − fish = 11

▶ Watch it solved

Bar chart: June 45, July 60, Aug 35, Sept 50; how many more July… Harder

The question

Question: draw a bar chart of June 45, July 60, Aug 35 and Sept 50.

How many more July than Aug?

June 45, July 60, Aug 35, Sept 50

1 Draw the axes

The names go along the bottom.

The numbers go up the side.

The biggest number is 60.

So the side counts in 10s, starting at 0.

Each line on the side is 10 more.

1 line = 10

2 Draw the bars

June: 45.

Its bar goes up to 45 on the side.

45 is between 40 and 50.

July: 60.

Aug: 35.

35 is between 30 and 40.

All the bars have the same width, with gaps between them.

3 Read the chart

Careful!

The side counts in 10s.

So read the number on the side, not how many squares.

Careful: read the side, not the squares

July reaches 60.

Aug reaches 35.

How many more: we take away.

60 minus 35.

= July − Aug = 60 − 35

60 minus 35 is 25.

So there are 25 more July than Aug.

= July − Aug = 25

4 Check

Let's check: 35 plus 25 is 60.

So it is right!

35 + 25 = 60

Let's look back.

First: draw the axes.

Then: draw the bars.

Then: read the chart.

Last: check.

Answer
= July − Aug = 25

▶ Watch it solved

Practice

Try each one, then open the answer. Stuck? Open the problem to watch every step.

Easy

  1. bar chart: red 5, blue 8, green 3, yellow 6
    Answer
    = most: blue (8)
  2. bar chart: apples 4, pears 7, plums 2
    Answer
    = most: pears (7)
  3. bar chart: cats 3, dogs 6, birds 2, fish 4; which is the least
    Answer
    = least: birds (2)
  4. bar chart: Mon 5, Tue 3, Wed 7; how many in all
    Answer
    = 5 + 3 + 7 = 15
  5. dot plot of 2, 3, 3, 4, 2, 5, 3
    Answer
    = mode = 3
  6. dot plot of 1, 2, 2, 3, 2, 4
    Answer
    = mode = 2
  7. dot plot of 5, 6, 6, 7, 8, 6, 7
    Answer
    = mode = 6

Medium

  1. bar chart: cats 12, dogs 17, fish 6; how many more dogs than fish
    Answer
    = dogs − fish = 11
  2. bar chart: soccer 14, tennis 8, swim 11, chess 5
    Answer
    = most: soccer (14)
  3. bar chart: bus 25, car 15, walk 30, bike 10; how many more walk than car
    Answer
    = walk − car = 15
  4. bar chart: A 9, B 4, C 7, D 6; how many in all
    Answer
    = 9 + 4 + 7 + 6 = 26
  5. dot plot of 2, 3, 3, 4, 2, 5, 3, 3, 6; how many are 4 or more
    Answer
    = 4 or more: 1 + 1 + 1 = 3
  6. dot plot of 0, 1, 1, 2, 1, 3, 0, 1
    Answer
    = mode = 1
  7. dot plot of 4, 5, 5, 6, 7, 5, 6, 8, 5; how many are less than 6
    Answer
    = less than 6: 1 + 4 = 5
  8. dot plot of 10, 11, 11, 12, 13, 11, 12, 14
    Answer
    = mode = 11

Harder

  1. bar chart: June 45, July 60, Aug 35, Sept 50; how many more July than Aug
    Answer
    = July − Aug = 25
  2. bar chart: north 120, south 90, east 150, west 60; which is the least
    Answer
    = least: west (60)
  3. dot plot of 1, 2, 2, 3, 3, 4, 2, 3, 5, 3, 2
    Answer
    = most common: 2 and 3
  4. dot plot of 3, 5, 4, 6, 5, 7, 5, 4, 6, 5, 8, 5; how many are 6 or more
    Answer
    = 6 or more: 2 + 1 + 1 = 4
  5. bar chart: red 7, blue 11, green 9, white 13, black 4; how many more white than black
    Answer
    = white − black = 9