Starter quiz
- Starting with the smallest, put these numbers in ascending order.
- 1⇔-5
- 2⇔-2
- 3⇔0
- 4⇔3
- 5⇔6
- 6⇔8
- 7⇔12
- Starting with the smallest, put these decimals in ascending order.
- 1⇔2.004
- 2⇔2.04
- 3⇔2.041
- 4⇔2.4
- 5⇔2.401
- 6⇔2.41
- 7⇔2.414
- The sum is the total when numbers are ______ together.
- 'added' ✓
- The sum of 23, 36 and 41 is ______.
- '100' ✓
- The number that is exactly halfway between 23 and 30 is ______.
- '26.5' ✓
- 8 is 9 away from 17 and also 9 away from ______.
- '-1' ✓
Exit quiz
- Which of these data sets has the greatest range?
- 1, 5, 7, 6, 4, 8, 14, 6, 8, 9, 2 ✓
- 12, 14, 17, 18, 19, 20
- 2.4, 5.4, 6.2, 7.3
- 143, 154, 142, 150, 149
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- Who is correct about the median of this data set: 34, 27, 29, 41?
- The mean for the data set 2.3, 5.6, 7.4, 3.6, 8.1 is ______.
- '5.4' ✓
- Which of these data sets have a mean of 6?
- 3, 5, 5, 7, 10 ✓
- 2, 4, 4, 6, 7
- -3, -1, 5, 10, 19 ✓
- 1.4, 3.4, 7.2, 8.9, 8.9
- 3, 32, 32, 36, 36
-
- Match each number of values and mean to the correct total.
- 8 values with a mean of 6⇔total of the values is 48 ✓
- 6 values with a mean of 10⇔total of the values is 60 ✓
- 4 values with a mean of 4⇔total of the values is 16 ✓
- 18 values with a mean of 30⇔total of the values is 540 ✓
- Five suitcases on a trolley have a mean mass of 22 kg. Another suitcase of mass 28 kg is also placed on the trolley. The mean mass of the six suitcases on the trolley is ______kg per suitcase.
- '23' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- The mean, median and mode are measures of central tendency.
- The range is a measure of the spread of the data.
- Calculating these from a list is easy when the data set is small.
Common misconception
Pupils may forget to order the data to support finding the median, mode and range.
Use small data (ordered and unordered) to find the range and the median based on position. Race to find range and median of a longer list with one "team" ordering first and the other team not. Ordering can help with speed, accuracy and give insight.
Keywords
A statistical summary - sums up the features of a data set. It may contain the average (mean, median and/or mode) which measures the central tendency. It may also contain the range which measures the spread.
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