Starter quiz
- How many sevens are there in this set of data?
- '6' ✓
- What is the modal value of this set of data?
- 2
- 3
- 5
- 7 ✓
- 8
-
- There are 325 pieces of data in an ordered data set. The median is the data value in position ______ in the data set.
- '163' ✓
- The (arithmetic) mean for a set of numerical data is the ______ of the values divided by the number of values. It is a measure of central tendency representing the average of the values.
- 'sum' ✓
- A data set contains 125 pieces of data and has a sum of 2500. The mean of the data set is ______.
- '20' ✓
- Match each summary statistic to its value for this set of data: 3, 9, 5, 8, 3, 4, 10.
- Mean⇔6 ✓
- Median⇔5 ✓
- Mode⇔3 ✓
- Range⇔7 ✓
Exit quiz
- The table shows the number of tries scored in some rugby matches by a team. This frequency table shows that in ______ matches the rugby team scored 3 tries.
- '6' ✓
- The table shows the number of tries scored in some rugby matches by a team. How many tries did the rugby team score most frequently?
- 0
- 1 ✓
- 2
- 3
- 4
-
- The table shows the number of tries scored in some rugby matches. Which of these tables corresponds with this one?
- The table shows the number of tries scored in some rugby matches. There were 53 matches, so the median is in the position. What is the median number of tries?
- 0
- 1 ✓
- 2
- 3
- 4
-
- The table shows the number of tries scored in 53 rugby matches. Over the 53 matches the total number of tries is ______.
- '72' ✓
- The table shows the number of tries scored in 50 rugby matches. The mean number of tries scored per match for the data in this frequency table is ______ tries.
- '1.4' ✓
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 frequency table may be easier when there is a larger set of data.
Common misconception
Pupils may divide the total by the number of rows in the frequency table when finding the mean.
On most occasions, the pupils calculated mean will be a value outside of the data set, so a sense-check should highlight that something is not quite right. Encourage pupils to always consider if their answer is reasonable.
Keywords
A statistical summary - sums up the features of a data set. It may contain the average (mean, median and/or mode) which measure the central tendency. It may also contain the range which measures the spread.
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