Starter quiz
- Which of these sentences describe the range?
- A measure of spread ✓
- A measure of central tendency
- A measure of variance or varity ✓
- It is found by finding the difference between the highest and lowest values ✓
- It is found by putting a data set into size order and finding the middle value
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- Match the key parts of a calculation for the range with the correct values for this data set: 6, 3, 10, 4, 9, 1, 4
- The largest value is⇔10 ✓
- The smallest value is⇔1 ✓
- Calculation to find range⇔10 − 1 ✓
- The range is⇔9 ✓
- Number not used to find range⇔4 ✓
- Select the correct calculation to find the range of this data set: 19, 12, 16, 19, 9, 11
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- ✓
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- Match each data set to its range.
- 1, 3, 7, 8, 10⇔9 ✓
- 3, 1, 10, 10, 12⇔11 ✓
- 3, 9, 11, 15, 14⇔12 ✓
- 4, 9, 8, 7, 7, 14, 12, 13⇔10 ✓
- A data set is presented on a dot plot. The range of the data is ______.
- '7' ✓
- Which of these dot plots have a range of 6?
- a
- b ✓
- c ✓
- d
Exit quiz
- Which of these sentences best describe what an outlier is.
- An outlier is always the largest value in a data set.
- An outlier is extremely large or small compared to the rest of the data set. ✓
- An outlier is an extremely large or small value after a range is calculated.
- Outliers lie close to all the other data points in a data set.
- Outliers lie far away from where the majority of the data points are clustered. ✓
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- What is the value of the outlier on this dot plot?
- 23
- 35
- 62
- 62.5
- 63 ✓
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- How many outliers are there on this dot plot?
- '4' ✓
- Match each piece of information to its value.
- The outlier⇔23 ✓
- The range with the outlier⇔24 ✓
- The range without the outlier⇔11 ✓
- The largest data point⇔47 ✓
- For this ordered data set, calculate the range whilst including all outliers, and also calculate the range without the outliers. The difference between the two ranges is ______
- '83' ✓
- Different outliers may need to be: kept, removed, investigated further, depending on the context with which these outliers have occurred. Match what should happen to the outlier to its context.
- Definitely keep⇔An outlier of 28 for number of days in a month without rain. ✓
- Definitely remove⇔A student walked 200 km to the supermarket. ✓
- Investigate further⇔19 cats had a mass of 4 - 6 kg. Outlier had a mass of 11 kg. ✓
Worksheet
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Lesson Details
Key learning points
- The range can be affected by outliers in the data.
- Removing these outliers will change the value of the range.
- Outliers must be carefully considered and only removed if they were recorded in error.
Common misconception
"Adding or removing a data point from a dataset will always change the value of the range"
The range only changes if: the data point added becomes a new max or min value, or the data point removed is the current max or min value.
Keywords
Outlier - A data point that is extremely large or small compared to the rest of the dataset.
Range - A measure of spread. It is found by finding the difference between the highest and lowest values.
Spread/dispersion - Describes how far apart pieces of data in a dataset are.
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