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Year 10 - Maths

Checking understanding of statistical problems

Sampling

Unit Summary

In this unit pupils will learn how to sample, and explore accuracy and limitations with various sampling strategies and data collection techniques.

Lesson Summary

You will learn to evaluate different statistical measures to draw conclusions about a data set.

Key Notes

  • A statistical summary involves the mean, median, mode and range.
  • Each summary gives us different insights into a data set.
  • Conclusions may be affected by the way the data was collected.

Vocabulary To Learn

  • Arithmetic mean: The (arithmetic) mean for a set of numerical data is the sum of the values divided by the number of values. It is a measure of central tendency representing the average of the values.
  • Median: The median is the central (middle) piece of data when the data are in numerical order. It is a measure of central tendency representing the average of the values.
  • Mode: The mode is the most frequent value. It is a measure of central tendency representing the average of the values.
  • Range: The range is a measure of spread. It is found by finding the difference between the highest and lowest values.
  • Population: The population is the entire set of people, creatures, plants or items that make up the whole group which is being studied.

Common Mistakes To Avoid

  • Pupils may believe that as mean, median and mode are all averages that they are all as useful as each other for every data set.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

A statistical summary involves the mean, median, mode and range. Each summary gives us different insights into a data set.

2. Use this key word in a maths sentence and explain it clearly. 'Arithmetic mean'

The (arithmetic) mean for a set of numerical data is the sum of the values divided by the number of values. It is a measure of central tendency representing the average of the values. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils may believe that as mean, median and mode are all averages that they are all as useful as each other for every data set. Correction: Using non qualitative data to show that the mean and median cannot be calculated, so the mode would be the only option. Showing data sets that have the same mean value but are considerably different to each other.

More Lessons In This Unit

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