Year 7 Statistics and Probability Worksheet - Beginner

Year 7 Statistics and Probability worksheet for Year 7 (Key Stage 3 / Year 7-9 (Ages 11-14)). Beginner level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 3 / Year 7-9 (Ages 11-14)•Statistics and Probabilitybeginner

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Year 7 Statistics and Probability: Data Detectives

Key Stage 3 • Ages 11–12 • Beginner

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Instructions: Work through each activity, showing your calculations where needed. Use the tables and probability scale provided, and check that your answers match the data. For chart questions, draw clearly and label your axes or sections.

Averages and Range

Use the data in each question. For the mean, add all the values and divide by how many values there are. Put the values in order to find the median; identify the most frequent value for the mode; subtract the smallest value from the largest for the range.

1. Scores: 4, 6, 6, 8, 11. Find the mean. [2 marks]

2. Reading times in minutes: 12, 7, 9, 15, 7. Find the median. [2 marks]

3. Number of goals: 2, 1, 3, 2, 4, 2. Find the mode. [1 mark]

4. Temperatures in °C: 13, 18, 16, 11, 15. Find the range. [1 mark]

Read and Interpret a Bar Chart

The table gives the number of books read by four pupils in one month. Use it to draw a bar chart on squared paper: label both axes, choose a sensible scale, and give the chart a title. Then answer the questions using the table values.

Pupil	Books read
Aisha	4
Ben	7
Chloe	5
Daniel	2

1. How many books did Ben read? [1 mark]

2. How many more books did Aisha read than Daniel? [1 mark]

3. How many books did the four pupils read altogether? [1 mark]

Pictograms and Pie Charts

Use the survey data below to make both charts. For the pictogram, use the key of one symbol representing two pupils and include a half-symbol for one pupil. For the pie chart, calculate each sector angle by multiplying the category frequency by 360° and dividing by the total of 12 pupils.

Favourite after-school activity (12 pupils):

Sport: 6 Reading: 3 Music: 2 Art: 1

1. Draw a pictogram using the key: ● = 2 pupils. [2 marks]

2. Calculate the pie-chart angle for Sport. [1 mark]

3. Calculate the pie-chart angle for Reading. [1 mark]

4. Which activity was chosen by the fewest pupils? [1 mark]

Probability from 0 to 1

Use the scale to show how likely each event is. Place each letter at the correct position between impossible (0) and certain (1). Then write the probability as a fraction, decimal or whole number where requested.

Probability scale: 0 — 0.25 — 0.5 — 0.75 — 1

A. An ordinary six-sided die lands on 7. [1 mark]

B. A fair coin lands on heads. [1 mark]

C. A fair six-sided die lands on a number from 1 to 6. [1 mark]

1. Write the probability of event A.

2. Write the probability of event B as a fraction.

3. Write the probability of event C.

List Outcomes and Find Probability

A fair six-sided die has faces numbered 1 to 6. List the outcomes that satisfy each event, then use the number of favourable outcomes over the total number of possible outcomes to find the probability. Simplify each fraction if possible.

1. List all possible outcomes when the die is rolled once. [1 mark]

2. List the outcomes that are even. [1 mark]

3. Find the probability of rolling an even number. [1 mark]

4. Find the probability of rolling a number greater than 4. [1 mark]

Answer Key

Activity 1: 7 ; 9 ; 2 ; 7

Activity 2: 7 books ; 2 books ; 18 books

Activity 3: Pictogram: Sport 3 symbols, Reading 1½ symbols, Music 1 symbol, Art ½ symbol ; 180° ; 90° ; Art

Activity 4: A at 0 ; B at 0.5, probability 1/2 ; C at 1

Activity 5: 1, 2, 3, 4, 5, 6 ; 2, 4, 6 ; 3/6 = 1/2 ; 2/6 = 1/3