Checking understanding of the mean | Maths | Quizalize & Oak National Academy

Starter quiz

The sum of 6, 8, 3, 5, and 7 is ______.
- '29' ✓
6 friends share 42 sweets equally. Each friend receives ______ sweets.
- '7' ✓
Match each word with the correct operation.
- product
  
  ⇔
  
  $\times$ ✓
- sum
  
  ⇔
  
  $+$ ✓
- share
  
  ⇔
  
  $\div$ ✓
- difference
  
  ⇔
  
  $-$ ✓
Which of the following has an answer of 5?
- ${3 + 5 + 8 + 4} \over {4}$ ✓
- ${3 + 5 + 8 + 4} \div {4}$
- $(3 + 5 + 8 + 4) \div {4}$ ✓
Eight pupils each roll a dice seven times. There are ______ rolls of the dice altogether.
- '56' ✓
There are 40 students that need to be sorted into equal groups. How many different group sizes could there be? ______
- '8' ✓

The (arithmetic) mean for a set of numerical data is the sum of the values ______ by the number of values. It is a measure of central tendency representing the average of the data.
- 'divided' ✓
Which of these towers of blocks have a mean of 4?
The mean for this data set: 5, 4, 7, 5, 8, 2, 9, 3, 5, 2 is ______
- '5' ✓
What is the mean of the data shown on this dot plot? ______
- '4' ✓
Match each total with the number of data values and mean.
- Total = 240
  
  ⇔
  
  12 data values, mean of 20 ✓
- Total = 350
  
  ⇔
  
  50 data values, mean of 7 ✓
- Total = 150
  
  ⇔
  
  15 data values, mean of 10 ✓
- Total = 220
  
  ⇔
  
  11 data values, mean of 20 ✓
- Total = 180
  
  ⇔
  
  30 data values, mean of 6 ✓
A large data set has 620 pieces of data and a total of 3906. The mean of the data set is ______ .
- '6.3' ✓

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The mean can be seen as a redistribution of values such that everything is the same.
The mean is the sum of all values divided by the number of values.
The mean is a measure of central tendency.

Pupils may ignore a data point of zero in their calculation of the mean.

Data points of zero will not add to the total but does impact the number of values, so the mean will be incorrect with its omission.

Central tendency - a summary measure that attempts to describe a whole set of data with a single value that represents the middle of its distribution