Year 7 Statistics and Probability Worksheet - Intermediate
Year 7 Statistics and Probability worksheet for Year 7 (Key Stage 3 / Year 7-9 (Ages 11-14)). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Year 7 Statistics and Probability: Make Sense of the Data
Ages 11–12 • Intermediate
Instructions: Show your working for calculations and include units where appropriate. Use the data provided in each activity; write neatly in the answer boxes. For chart tasks, use a ruler and label your axes clearly.
Averages and Range
Use the data set for each question. Find the mean, median, mode and range where requested. Put the values in order before finding the median, and show your working.
1. The number of books read by six pupils in a month was 2, 4, 4, 5, 6, 9. Find the mean, median, mode and range.
2. The goals scored by a team in seven matches were 1, 3, 2, 4, 0, 2, 2. Find the median, mode and range.
3. Five plants grew 8 cm, 11 cm, 9 cm, 7 cm and 10 cm. Find the mean growth.
4. The mean of 4, 6, 7 and one more number is 6. Find the missing number.
Read and Interpret a Bar Chart
The table gives the number of pupils who chose each after-school club. Answer the questions using the data. For the final question, describe one suitable comparison using the values.
| Club | Pupils |
| Art | 8 |
| Football | 12 |
| Drama | 6 |
| Music | 10 |
1. How many pupils were surveyed altogether?
2. Which club was chosen by the fewest pupils?
3. How many more pupils chose Football than Drama?
4. Draw a bar chart of the club data, with a labelled category axis and a vertical scale from 0 to 12.
Pictograms and Pie-Chart Fractions
Use the pictogram key to interpret the data. Then use the same totals to answer the pie-chart questions. A full pie chart represents all 24 votes, so calculate each sector angle using votes ÷ 24 × 360°.
Favourite fruit votes (each ● represents 2 votes; each half-symbol ◐ represents 1 vote):
Apples: ●●●●
Bananas: ●●●
Oranges: ●●◐
Grapes: ●◐
1. How many votes were cast altogether?
2. How many votes were for oranges?
3. Calculate the angle for the Apples sector in a pie chart.
4. Calculate the angle for the Grapes sector in a pie chart.
Probability on a 0–1 Scale
Write each probability as a fraction, decimal or clear point on the scale, as requested. Remember, 0 means impossible and 1 means certain.
1. Mark and label 0, 1/2 and 1 on this probability scale: 0 ─────────────────── 1.
2. A fair six-sided die is rolled. What is the probability of rolling a 5? Give your answer as a fraction.
3. A bag contains 3 red counters, 2 blue counters and 5 green counters. One counter is selected at random. Find the probability it is blue.
4. Classify the event “rolling a number from 1 to 6 on a standard six-sided die” as impossible, unlikely, even chance, likely or certain.
List Outcomes and Find Probabilities
List every possible outcome once, then use your list to calculate the requested probability. For the spinner, assume all four named sections are equal in size.
1. A coin is tossed and a standard six-sided die is rolled. List all possible outcomes using H or T followed by the die score.
2. For the coin-and-die experiment, how many possible outcomes are there?
3. For the coin-and-die experiment, find the probability of getting tails and an even number.
4. A spinner has equal sections labelled A, B, C and D. Find the probability of landing on a letter that appears in the word DATA.
Activity 1: 1. Mean 5, median 4.5, mode 4, range 7 ; 2. Median 2, mode 2, range 4 ; 3. 9 cm ; 4. 7
Activity 2: 1. 36 pupils ; 2. Drama ; 3. 6 pupils ; 4. Bars at Art 8, Football 12, Drama 6, Music 10, with labelled axes and scale
Activity 3: 1. 24 votes ; 2. 5 votes ; 3. 120° ; 4. 22.5°
Activity 4: 1. Correctly marked scale: 0, 1/2 at the midpoint, 1 ; 2. 1/6 ; 3. 2/10 = 1/5 ; 4. Certain
Activity 5: 1. H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6 ; 2. 12 ; 3. 3/12 = 1/4 ; 4. 1/2
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