[discia] GCSE Maths › Statistics › Bar Charts

Bar Charts

discia.org 10 questions · 33 marks
Name Date
  1. Either paper 3 marks

    The bar chart shows the favourite ways to travel of some students.

    024681012141618202224262830WalkBusCarCycleNumber of students
    (a)

    How many students chose Car?

    (b)

    Calculate the difference between the most popular and the least popular.

    (c)

    How many students were asked altogether?

    Show answer
    (a) \(30\)
    (b) \(22\)
    (c) \(88\)
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  2. Either paper 3 marks
    51 people were asked to name their favourite pet. The table shows some of the results.
    PetFrequency
    Dog19
    Cat9
    Fish11
    Bird
    A bar chart is to be drawn from the table. Find the height of the Bird bar.
    Show answer
    \(12\)
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  3. Either paper 2 marks

    On a journey, Amara sees 38 vehicles. Each vehicle is a car, a van or a motorbike.

    Amara draws this bar chart.

    0246810121416CarVanMotorbikeNumber of vehicles

    Make two criticisms of her bar chart.

    Show answer
    Any two of: the horizontal axis has no label; the chart has no title; the bars do not add up to the number of vehicles seen.
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  4. Either paper 5 marks

    24 children were asked which pet they each like best. Here are the results.

    Rabbit, Cat, Rabbit, Cat, Rabbit, Dog, Rabbit, Dog, Cat, Dog, Cat, Cat, Rabbit, Dog, Cat, Dog, Rabbit, Rabbit, Rabbit, Cat, Dog, Dog, Dog, Dog

    (a) Complete the frequency table.
    PetTallyFrequency
    Dog
    Cat
    Rabbit
    (b)

    Write down the mode.

    (c)

    Draw a bar chart on the grid to show the results.

    Use a vertical scale of 1 square for every 2 children.

    DogCatRabbitNumber of children
    Show answer
    (a) \(9, 7, 8\) for Dog, Cat, Rabbit
    (b) Dog
    (c) Bars to 9, 7 and 8 in the order of the table, on a vertical axis numbered 2 to a square
    (c)024681012DogCatRabbitNumber of children
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  5. Either paper 2 marks
    Some people were asked to name their favourite pet. The table shows the results.
    PetFrequency
    Dog10
    Cat11
    Fish14
    Bird9
    The bar chart shows two of the results. 02468101214DogCatFishBirdFrequencyPet Complete the bar chart.
    Show answer
    The Cat bar drawn to \(11\) and the Bird bar drawn to \(9\)
    02468101214DogCatFishBirdFrequencyPet
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  6. Either paper 3 marks

    The bar chart shows information about a sports club.

    024681012141618202224TennisSquashBadmintonNumber of membersJuniorsSeniors
    (a)

    How many are shown for Seniors in Squash?

    (b)

    Calculate the difference between Juniors and Seniors in Squash.

    (c)

    Which group has the larger total across all three?

    Show answer
    (a) \(19\)
    (b) \(7\)
    (c) Seniors
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  7. Either paper 4 marks

    The bar chart shows how the students in a class travel to school.

    01234567891011121314WalkBusCarCycleFrequency
    (a)

    Work out the total number of students.

    (b)

    Work out the fraction of the students in the bar for Bus.

    Give your answer in its simplest form.

    Show answer
    (a) \(44\ \text{students}\)
    (b) \(\frac{3}{11}\)
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  8. Either paper 4 marks

    A survey asked people to name their favourite pizza topping.

    The bar chart shows the results for three of the four answers, but the bar for Pepper has not been drawn.

    012345678910111213141516CheeseHamMushroomFrequency

    \(51\) people took part altogether.

    (a)

    Find the height of the bar for Pepper.

    (b)

    Write down the most common answer.

    (c)

    Another survey is carried out with twice as many people, and the results are in the same proportions.

    Calculate how many would choose Pepper.

    Show answer
    (a) \(11\ \text{people}\)
    (b) Mushroom
    (c) \(22\ \text{people}\)
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  9. Either paper 3 marks

    Students choose a juice with their school meal. The numbers who choose Orange, Apple and Lime are in the ratio

    \(Orange : Apple : Lime = 4 : 5 : 1\)

    The bar chart has been drawn for one of the three choices only.

    0246810OrangeAppleLimeNumber of people

    Complete the bar chart.

    Show answer
    The Orange bar drawn to \(8\) and the Lime bar drawn to \(2\)
    0246810OrangeAppleLimeNumber of people
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  10. Either paper 4 marks

    \(57\) people each choose one of Bear, Rhino, Ox or Lion as their team mascot.

    The bar chart shows the number of people who chose two of these.

    02468101214161820BearRhinoOxLionNumber of peopleChoice

    The number of people who chose Bear is \(2\) more than the number of people who chose Lion.

    Complete the bar chart.

    Show answer
    The Bear bar drawn to \(10\) and the Lion bar drawn to \(8\)
    02468101214161820BearRhinoOxLionNumber of peopleChoice
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discia.org Bar Charts · sheet 1
Answers Bar Charts · sheet 1
  1. (a) \(30\)
    (b) \(22\)
    (c) \(88\)
  2. \(12\)
  3. Any two of: the horizontal axis has no label; the chart has no title; the bars do not add up to the number of vehicles seen.
  4. (a) \(9, 7, 8\) for Dog, Cat, Rabbit
    (b) Dog
    (c) Bars to 9, 7 and 8 in the order of the table, on a vertical axis numbered 2 to a square
    (c)024681012DogCatRabbitNumber of children
  5. The Cat bar drawn to \(11\) and the Bird bar drawn to \(9\)
    02468101214DogCatFishBirdFrequencyPet
  6. (a) \(19\)
    (b) \(7\)
    (c) Seniors
  7. (a) \(44\ \text{students}\)
    (b) \(\frac{3}{11}\)
  8. (a) \(11\ \text{people}\)
    (b) Mushroom
    (c) \(22\ \text{people}\)
  9. The Orange bar drawn to \(8\) and the Lime bar drawn to \(2\)
    0246810OrangeAppleLimeNumber of people
  10. The Bear bar drawn to \(10\) and the Lion bar drawn to \(8\)
    02468101214161820BearRhinoOxLionNumber of peopleChoice
discia.org Bar Charts · sheet 1