Frequency Tables and Tally Charts: Fluency and Exam Drill - Worksheets, Questions and Revision

20 original exam-style questions - 7 pages of questions with a full mark scheme - free printable PDF.

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GCSE · Statistics

S14D Frequency Tables and Tally Charts: Fluency and Exam Drill

EDEXCEL 1ST0 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write down the frequency shown by this tally mark: ||

(Total for Question 1 is 1 mark)

Write down the frequency shown by this tally mark: ||||

(Total for Question 2 is 1 mark)

Write down the frequency shown by this tally mark: ||||| ||

(Total for Question 3 is 1 mark)

Write down the frequency shown by this tally mark: ||||| ||||| |||

(Total for Question 4 is 1 mark)

The table shows the favourite colour of some pupils in a class.

Colour	Frequency
Red	9
Blue	6
Green	4
Yellow	3

Write down the mode.

(Total for Question 5 is 1 mark)

The table shows the number of pets owned by pupils in a class.

Pets owned	Frequency
0	5
1	8
2	4
3	1

Write down the frequency of pupils who own exactly 1 pet.

(Total for Question 6 is 1 mark)

Write down whether this statement is True or False.
A frequency table shows the total count for each category, rather than the individual tally marks.

(Total for Question 7 is 1 mark)

Write down whether this statement is True or False.
Tally marks are grouped in threes, with the third mark drawn as a diagonal line crossing the first two.

(Total for Question 8 is 1 mark)

A tally chart shows the number of goals scored by a football team in each match this season.

Goals scored	Tally
0	\|\|\|
1	\|\|\|\|\|
2	\|\|\|\|\| \|\|\|\|
3	\|\|

Work out the total number of matches played this season.

(Total for Question 9 is 2 marks)

40 customers were asked whether they preferred a window seat or an aisle seat on a train. The frequency table shows some of the results.

Seat	Frequency
Window	24
Aisle	?
Total	40

Work out the frequency for Aisle.

(Total for Question 10 is 2 marks)

A cafe recorded the drink chosen by 35 customers.

Drink	Frequency
Tea	14
Coffee	11
Hot chocolate	6
Juice	4

Work out how many more customers chose tea than chose juice.

(Total for Question 11 is 2 marks)

60 students were asked whether they walk or take the bus to school, split by year group.

Year group	Walk	Bus
Year 7	12	8
Year 8	15	25

Work out the total number of Year 8 students.

(Total for Question 12 is 2 marks)

60 students were asked whether they walk or take the bus to school, split by year group.

Year group	Walk	Bus
Year 7	12	8
Year 8	15	25

Work out the total number of students, across both year groups, who walk to school.

(Total for Question 13 is 2 marks)

A tally chart records the number of emails received by an office reception desk during each of four hours.

9am	\|\|\|\|\| \|\|\|
10am	\|\|\|\|\| \|\|\|\|\|
11am	\|\|\|
12pm	\|\|\|\|\| \|

Work out the total number of emails received across the four hours.

(Total for Question 14 is 2 marks)

A youth club recorded how 45 members travel to the club: walking, cycling, or by car. The frequency table shows some of the results.

Method	Frequency
Walk	19
Cycle	?
Car	11
Total	45

Work out the frequency for Cycle, then state whether Cycle or Walk was more popular.

(Total for Question 15 is 3 marks)

A tally chart shows the number of laps completed by 26 swimmers in a training session, recorded as they finished.

Laps completed	Tally
4	\|\|\|\|\| \|\|\|\|
6	\|\|\|\|\| \|\|\|\|\| \|
8	\|\|\|\|\| \|

Complete the frequency table and write down the modal number of laps completed.

(Total for Question 16 is 3 marks)

A charity shop recorded the price band of 50 items sold in a week.

Price band	Frequency
Under £5	22
£5 to £10	?
Over £10	9

Work out the frequency for the £5 to £10 band, then work out what percentage of the 50 items were in that band.

(Total for Question 17 is 3 marks)

72 students chose either drama or art as an extra-curricular activity, split into two year groups.

Year group	Drama	Art	Total
Year 9	18	14	32
Year 10	?	17	40

Work out the number of Year 10 students who chose drama, then work out the total number of students, across both years, who chose drama.

(Total for Question 18 is 3 marks)

A pupil records the number of goals scored by a hockey team over 20 matches using a tally chart, then copies the frequencies into a table. The register shows that 20 matches were played, but she thinks she may have made a copying error somewhere.

Goals scored	Tally	Frequency (as she wrote it)
0	\|\|\|\|\| \|\|\|	6
1	\|\|\|\|\| \|\|	7
2	\|\|\|\|	4
3	\|	1

Show that the frequencies she has written do not add up to the 20 matches played, then identify which row was copied incorrectly and state the correct frequency for that row.

(Total for Question 19 is 4 marks)

A student wants to find out which of three snacks (crisps, fruit, biscuits) is most popular among 28 classmates. She asks each classmate in turn and records each answer as it is given:
Crisps, Fruit, Biscuits, Crisps, Crisps, Fruit, Biscuits, Crisps, Fruit, Crisps, Biscuits, Fruit, Crisps, Fruit, Biscuits, Crisps, Fruit, Crisps, Biscuits, Fruit, Crisps, Fruit, Biscuits, Crisps, Fruit, Crisps, Biscuits, Fruit
Complete a frequency table for this data, write down the mode, and work out how many more classmates chose crisps than chose biscuits.

(Total for Question 20 is 4 marks)

Mark scheme · S14D Frequency Tables and Tally Charts: Fluency and Exam Drill

Question 1

B1 2 cao
Answer: 2

Question 2

B1 4 cao
Answer: 4

Question 3

B1 7 cao
Answer: 7

Question 4

B1 13 cao
Answer: 13

Question 5

B1 Red cao
Answer: Red

Question 6

B1 8 cao
Answer: 8

Question 7

B1 True cao
Answer: True

Question 8

B1 False cao
Answer: False

Question 9

M1 3 + 5 + 9 + 2, oe
A1 19 cao
Answer: 19

Question 10

M1 40 - 24, oe
A1 16 cao
Answer: 16

Question 11

M1 14 - 4, oe
A1 10 cao
Answer: 10

Question 12

M1 15 + 25, oe
A1 40 cao
Answer: 40

Question 13

M1 12 + 15, oe
A1 27 cao
Answer: 27

Question 14

M1 8 + 10 + 3 + 6, oe
A1 27 cao
Answer: 27

Question 15

M1 45 - 19 - 11, oe
A1 15 cao
A1 Walk is more popular, since 19 is greater than 15, ft
Answer: Cycle = 15; Walk is more popular

Question 16

M1 counts at least two of the three tallies correctly
A1 all three frequencies correct: 9, 11, 6
A1 modal number of laps = 6, ft
Answer: Frequencies: 9, 11, 6; modal number of laps = 6

Question 17

M1 50 - 22 - 9, oe
A1 19 cao
A1 38% cao ft
Answer: 19; 38%

Question 18

M1 40 - 17, oe
A1 23 cao
A1 41 cao ft (18 + 23)
Answer: Year 10 drama = 23; total drama = 41

Question 19

M1 6 + 7 + 4 + 1, oe
A1 18, which is not equal to 20
B1 0 goals row identified as the copying error
B1 8 cao
Answer: 18 (not 20); the 0 goals row should be 8, not 6

Question 20

B2 all three frequencies correct: Crisps = 11, Fruit = 10, Biscuits = 7
B1 Crisps cao ft (mode)
B1 4 cao ft
Answer: Crisps = 11, Fruit = 10, Biscuits = 7; mode = Crisps; 4 more classmates chose crisps than biscuits

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Frequency Tables and Tally Charts: Fluency and Exam Drill - Worksheets, Questions and Revision

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S14D Frequency Tables and Tally Charts: Fluency and Exam Drill

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