Averages & Spread Flashcards

All 6 cards in this deck

What are the steps to find the median of a set of data?
e.g. 12, 7, 9, 15, 4

  1. Put the values in order: 4, 7, 9, 12, 15
  2. Pick the middle value: 9
  3. If there are two middle values, find their mean.

What are the steps to find the interquartile range?
e.g. 2, 4, 6, 8, 10, 12, 14, 16

  1. Order the data and split it into a lower half and an upper half: 2, 4, 6, 8 | 10, 12, 14, 16
  2. LQ = median of the lower half: 5; UQ = median of the upper half: 13
  3. IQR = UQ − LQ = 13 − 5 = 8

What is the range of a set of data?

The highest value minus the lowest value — a measure of spread.

What is the modal class?

The class (group) with the highest frequency, i.e. containing the most values.

True or false? A mean calculated from a small sample is less likely to be representative of the whole area than one from a large sample.

True. A larger sample captures more of the variation, so its mean is more likely to represent the whole area.

What does the interquartile range of a data set measure?

The spread of the middle 50% of the values: the gap between the upper quartile and the lower quartile.