Statistics and Probability Worksheet — KS3 — Beginner
Statistics and Probability worksheet for 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.
Introduction to Statistics and Probability
Key Stage 3 / Beginner Level
Instructions: This worksheet will introduce you to basic concepts in statistics and probability. You will learn to interpret data, calculate averages, and understand basic probability. Follow the instructions for each activity and use the provided spaces to write your answers.
Understanding Mean, Median, and Mode
Calculate the mean, median, and mode for the given data set. Write your answers in the spaces provided.
Data Set: 3, 7, 7, 2, 9, 10, 3, 5
1. Mean:
2. Median:
3. Mode:
Interpreting Bar Charts
Study the bar chart below showing the number of books read by students in a month. Answer the questions that follow.
| Student | Books Read |
| Alice | 5 |
| Ben | 8 |
| Charlie | 3 |
| Diana | 7 |
| Edward | 6 |
1. Who read the most books?
2. What is the total number of books read by all students?
3. Calculate the average number of books read.
Probability Basics
Calculate the probability of each event occurring. Express your answers as fractions.
1. What is the probability of rolling a 3 on a six-sided die?
2. What is the probability of drawing a heart from a standard deck of cards?
3. If you flip a coin, what is the probability of it landing on heads?
Creating Pie Charts
Using the data provided, draw a pie chart to represent the favourite fruits of students. Use the space below to sketch your chart.
| Fruit | Number of Students |
| Apple | 12 |
| Banana | 8 |
| Orange | 10 |
| Strawberry | 5 |
Use the table data to draw a pie chart.
Understanding Frequency Tables
Complete the frequency table using the data provided and answer the questions below.
| Score | Frequency |
| 1 | 2 |
| 2 | 5 |
| 3 | 7 |
| 4 | 4 |
| 5 | 2 |
1. What is the total number of scores recorded?
2. Which score occurred most frequently?
Calculating Range
Find the range of the following data set. Write your answer in the space provided.
Data Set: 15, 22, 8, 19, 31, 25, 17
Range:
Probability Scenarios
Read each scenario and determine the probability of the event occurring. Write your answer as a fraction.
1. Picking a red marble from a bag containing 3 red, 2 blue, and 5 green marbles.
2. Drawing a vowel from the word 'STATISTICS'.
Comparing Data Sets
Compare the two data sets below and answer the questions. Consider the range, mean, and mode.
Data Set A: 4, 6, 8, 10, 12
Data Set B: 3, 7, 7, 9, 11
1. Which data set has the larger range?
2. Which data set has the higher mean?
3. What is the mode of Data Set B?
Activity 1: Mean: 5.75 ; Median: 5 ; Mode: 3, 7
Activity 2: Ben ; 29 ; 5.8
Activity 3: 1/6 ; 1/4 ; 1/2
Activity 4: Pie chart sketch
Activity 5: 20 ; 3
Activity 6: 23
Activity 7: 3/10 ; 3/10
Activity 8: Data Set A ; Data Set A ; 7
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