← 🔢 Mathematics

Cambridge Primary Checkpoint 0845 · Topic 10 of 10

Statistics and probability

Showing data in tables and graphs, finding the mode, median, mean and range, and describing how likely things are.

📌 Key points

  1. Data can be shown in tally charts, frequency tables, pictograms, bar charts, line graphs, pie charts, Venn diagrams and Carroll diagrams.
  2. Line graphs show how something changes over time, such as the temperature during a day.
  3. The mode is the most common value. A set of data can have more than one mode.
  4. The median is the middle value when the data is in order. If there are two middle values, it is halfway between them.
  5. The mean is the total of all the values divided by how many values there are.
  6. The range is the largest value minus the smallest value. It shows how spread out the data is.
  7. Words for chance: impossible, unlikely, even chance, likely, certain.
  8. Probability can be shown on a scale from 0 (impossible) to 1 (certain). An even chance is 12.
  9. If all outcomes are equally likely, the chance of an outcome is the number of ways it can happen out of the total number of outcomes.

📖 Key words

Data
Information that is collected, such as numbers or answers to a question.
Frequency
How many times something happens or appears.
Mode
The most common value in a set of data.
Median
The middle value when the data is put in order.
Mean
The total of the values divided by the number of values.
Range
The difference between the largest and the smallest values.
Probability
How likely it is that something will happen.

✏️ Worked example

Find the mode, median, mean and range of these scores: 4, 7, 3, 7, 9.

  1. Put the data in order: 3, 4, 7, 7, 9.
  2. Mode = 7 (it appears twice). Median = the middle value = 7.
  3. Mean = (3 + 4 + 7 + 7 + 9) ÷ 5 = 30 ÷ 5 = 6.
  4. Range = 9 − 3 = 6.
  5. Answer: mode 7, median 7, mean 6, range 6.
💡 Test tip

Always put the data in order before finding the median, and count the values to make sure you have not missed one.

Test yourself8 questions from a bank of 22. A new mix every time.
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