Statistical Diagrams (Edexcel GCSE Maths: Foundation)

The graph shows information about the number of cars sold by a car dealership in each of six months last year.

(i) How many more cars were sold in April than in January?

[1]

(ii) Find the number of cars sold in May as a percentage of the total number of cars sold between January and June.

[2]

A hotel manager is investigating the number of different drinks consumed each day at breakfast.

The manager produces the composite bar chart below, showing the number of cups of coffee, tea, and fruit juice consumed on Friday, Saturday, and Sunday.

(i) Find the total number of cups of coffee consumed over the three days.

[2]

(ii) Calculate the percentage of drinks consumed on Sunday that were coffee.

[2]

(iii) Find the mean number of drinks consumed in total each day.

[2]

The pictogram shows information about the number of footballs sold in a large sports shop on Monday, Tuesday, and Wednesday.

(i) How many footballs were sold on Monday?

[1]

(ii) More footballs were sold on Tuesday than on Wednesday.

How many more?

[2]

(iii) On Thursday and Friday, a total of 24 footballs were sold.

25% of these 24 footballs were sold on Thursday.

Complete the pictogram for Thursday and Friday.

[3]

Fernando records the favourite sport of each of 20 people.

Complete the frequency table to show this information.
You may use the tally column to help you.

Fernando wants to draw a pie chart to show this information.

Work out the sector angle for football.

There are 480 cabins on a ship.
There are four types of cabin: Ocean-view, Balcony, Interior and Suite.
Hannah starts to draw a pie chart to show the numbers of each type of cabin.

i) Show that there are 120 Ocean-view cabins on the ship.

iia) The table shows information about each type of cabin.

Complete the table.

[2]

iib) Complete the pie chart.

[1]

The 840 students in a school are asked if they want a change of school uniform.
The results are shown in the pie chart.

Show that the number of students who said Yes is 266.

The number of people swimming in a pool is recorded each day for 12 days.

Complete the stem-and-leaf diagram.

Find the median number of swimmers.

The treasure is a bag of coins.
The coins are made from three different metals.

i) Complete the table.

[2]

ii) Complete the pie chart.

[2]

The table shows how children in Ivan’s class travel to school.

Ivan wants to draw a pie chart to show this information.

Find the sector angle for children who walk to school.

50 students each record the number of glasses of water they drink in one day.
The results for 10 of the students are shown below.

i) The results for the remaining 40 students are recorded in the table.

Complete the table to show the results for all 50 students.

[2]

ii) Write down the range.

[1]

iii) Find the median.

[2]

iv) Find the percentage of the 50 students who drink 4 glasses of water.

[1]

v) One of the 50 students is chosen at random.

Find the probability that this student drinks fewer than 2 glasses of water in one day.
Give your answer as a fraction in its lowest terms.

[2]

The table shows information about the first 90 words in a book.

i) Complete the table.

ii) Complete the pie chart to show this information.

[2]

On Monday, Main Street station sells 40 tickets. There are four types of ticket; infant, child, adult and senior.
The bar chart shows the number of infant, child and adult tickets sold.

i) Complete the bar chart.

[3]

ii) Find how many more adult tickets were sold than child tickets.

[1]

iii) Write down the modal type of ticket.

[1]

iv) One of these 40 people is chosen at random.

Find the probability that this person is a child.

[1]

Jason spends 480 minutes at school each day.
The pie chart shows the time he spends in three of his lessons.

Measure the sector angle for science.

Work out the time, in minutes, Jason spends in English.

...........................min

Jason spends 100 minutes in geography and the rest of the day is free time.

Complete the pie chart.

25 students go on a water sports trip.
The students each choose their favourite water sport.
These are the results.

Rafting                Fishing              Surfing            Snorkelling         Surfing

Snorkelling         Rafting               Kayaking         Rafting               Snorkelling

Fishing               Surfing               Surfing             Kayaking           Surfing

Fishing               Snorkelling         Surfing            Surfing               Rafting

Rafting               Fishing               Snorkelling      Snorkelling         Surfing

i) Complete the frequency table for the results.
You may use the tally column to help you.

[2]

ii) Write down the mode.

[1]

iii) Work out the percentage of students whose favourite water sport is snorkelling.

................................ % [1]

The graph shows information about the number of maps sold between Tuesday and Sunday at a popular hiking destination.

(i) Find the range of the number of maps sold between Tuesday and Sunday.

[1]

(ii) Find the median number of maps sold between Tuesday and Sunday.

[1]

(iii) A member of staff who sells the maps suggests that one of the data points is an outlier.

Identify which point they think is an outlier, and suggest a possible reason which may have caused this outlier.

[2]

The composite bar chart below shows the number of TVs, laptops, and games consoles sold by a technology shop in October, November, and December.

(i) Calculate the number of games consoles sold in December as a percentage of the total number of games consoles sold during the three month period.

[3]

(ii) Find the mean number of laptops sold each day during the three month period.

Assume that the shop is open every day.

[3]

(iii) If the assumption in part (ii) is not correct, explain how this would affect your answer to part (ii).

[1]

The pictogram shows information about the number of bottles produced by a bottle factory over five days.

The key has not been completed.

The number of bottles produced on Monday was 280.

 (i) Complete the key for the pictogram.

[1]

(ii) Find the median number of bottles produced per day.

[2]

 (iii) The manager of the factory states that:

"Three fifths of the bottles produced this week were produced by the end of Wednesday"

Showing your working clearly, decide if this statement is true or not.

[3]

66 football players each take five penalties.
The number of penalties that each player scores is recorded.
The results are shown in the bar chart.

i) Write down the mode.

[1]

ii) Write down the range.

[1]

iii) Calculate the mean.

[3]

Joel spins a fair five-sided spinner numbered 2, 3, 4, 5, and 6.

Joel asks 30 students to guess the number that the spinner will land on next.
This pie chart shows the results.

i) The sector angle for the number 6 is 168°.

How many students guessed the number 6?

[2]

ii) Find the percentage of the students who guessed a number less than 5.

[3]

iii) Joel spins the spinner.
10% of the students guessed correctly.

Which number did the spinner land on?

[2]

80 students each record the name of their mathematics teacher. The number of these students taught by Mr House and by Miss Patel are shown in the bar chart.

How many more students are taught by Miss Patel than by Mr House?

15 students are taught by Mr Smith.
Twice as many students are taught by Mrs Brown than by Mr Jones.

Use this information to complete the bar chart.

Write down the mode.

This information is also to be shown in a pie chart.
Work out the sector angle for Miss Patel.

60 boys are asked to name their favourite sport.
The results are shown in the pie chart.

i) Write down the most popular sport.

[1]

ii) Write down the fraction of boys who choose Running.

[1]

iii) Work out how many boys choose Judo.

[2]

iv) One of the boys is chosen at random.
Work out the probability that his favourite sport is not Judo.

[1]

v) Complete this statement.

Three times as many boys choose .......................
than choose ......................

[1]

Two of the boys in part (a) then change their choice from Running to Swimming.

Complete the pie chart after this change.
The Tennis, Judo and Hockey sectors have been drawn for you.

60 girls are asked to name their favourite sport.
Their results are shown in the bar chart below.

Using your pie chart in part (b) and the bar chart above, write down one similarity and one difference between the girls’ results and the boys’ results.

Similarity ....................................   
Difference .................................... 

Some people go fishing and catch four types of fish.

Some information is shown in the table.

i) Complete the table.

[3]

ii) Complete the pie chart.

[1]