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Maths (Foundation)
Comparisons of numerical summaries of data

Starter quiz

  • Which of these describes the mode of a data set.
    • It is the sum of the values divided by the number of values.
    • It is the central piece of data when the data are in order of size.
    • It is value that appears most frequently in a data set.  ✓
    • Two values in a data set that occur most frequently an equal number of times.
  • Match each summary statistic to its value for the data set: 2, 2, 2, 4, 7, 19
    • mean
      ⇔
      6 ✓
    • median
      ⇔
      3 ✓
    • mode
      ⇔
      2 ✓
    • range
      ⇔
      17 ✓
  • Which of these statements are correct for this data set shown in a frequency table?
    Which of these statements are correct for this data set shown in a frequency table?
    • The modal value is 3.  ✓
    • The modal value is 4.
    • The modal value is 22.
    • The range is 2.  ✓
    • The range is 18.
  • The table shows the number of rooms in some flats in a block of flats. The mean number of rooms in this data set is <span class="blank">______</span> rooms.
    The table shows the number of rooms in some flats in a block of flats. The mean number of rooms in this data set is ______ rooms.
    • '4.5' ✓
  • The median number of people in this data set is <span class="blank">______</span> people.
    The median number of people in this data set is ______ people.
    • '3' ✓
  • Chocolate eggs are sold in boxes of either 2, 3, or 4. The number of boxes with each number of eggs is recorded. The mean of this data set is 3.5 eggs. The value of <Math>x</Math> is <span class="blank">______</span>.
    Chocolate eggs are sold in boxes of either 2, 3, or 4. The number of boxes with each number of eggs is recorded. The mean of this data set is 3.5 eggs. The value of x is ______.
    • '20' ✓
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