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Maths
Numerical summaries of data

Starter quiz

  • Which of these statements defines the median?
    • The most frequent value when the data are put into numerical order.
    • The distance on a number line between the smallest and largest data point.
    • The sum of values divided by the number of values in a data set.
    • The middle piece of data when the data are put into numerical order.  ✓
  • Calculate the mean for this data set.
    Calculate the mean for this data set.
    • 7
    • 16
    • 17.5  ✓
    • 19
    • 24
  • Match the summary statistic to its value.
    Match the summary statistic to its value.
    • mean
      ⇔
      3 ✓
    • median
      ⇔
      4 ✓
    • mode
      ⇔
      -1 ✓
    • range
      ⇔
      12 ✓
  • Which of these statements is true for this dot plot?
    Which of these statements is true for this dot plot?
    • The data set has a single mode.
    • The data set is bimodal.  ✓
    • The mode does not appear to be the most representative summary.  ✓
    • Because the mode is not representative, it is not a useful summary.
    • Even though the mode isn't representative, this information can still be useful.  ✓
  • First calculate the mean for this dot plot, then select the correct statements.
    First calculate the mean for this dot plot, then select the correct statements.
    • The mean is 10.  ✓
    • The mean is 19.
    • The mean is representative because many data points share the same value.
    • The mean isn't very representative because not many data point are close to it.  ✓
    • The mean isn't very representative because the range is bigger.
  • Without carrying out any calculations select which of these statements are likely to be true for this dot plot.
    Without carrying out any calculations select which of these statements are likely to be true for this dot plot.
    • The median is 13.
    • The median is 78.
    • The median is 83.  ✓
    • The median is close to the two peaks of high frequency values in the data set.
    • The median is in the dip of low or no frequency values in the data set.  ✓
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